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(1) Students will begin to explore the concept of route design and finding the shortest route as it pertains to graph theory.
(2) Students will work in small groups for the purpose of finding the shortest bus route, then graphing the shortest route.
Abstract
This activity is designed for students to design a new bus route in their neighborhood. It is important to link the concept of route planning to graph theory as it relates to discrete mathematics.
Problem Statement
Suggest to students that designing routes is a challenge for many different industries. Ask students to brainstorm on how many different industries use routes as a necessity of their business. Also discuss how important it is to utilize the shortest route possible and what kind of economical impacts it would have on that industry.
Instructor Suggestions
(1) Begin by discussing the problem statement.
(2) Have students form small groups.
(3) Distribute the Bus Route activity sheet and have students work on the problem.
(4) Have each group select a spokesperson to report their findings to the class. | 677.169 | 1 |
Due on Friday September 1:
Please write a paragraph or two about yourself. What is your mathematical background? Why are you taking this class? What are you hoping to get out of this class? Are you comfortable with using a graphing calculator and/or Desmos? How comfortable do you feel with the WileyPLUS system? How do you intend to ensure a successful experience in this class? Visit the web site for this class - tell me something about it that you like, and maybe something that could be improved. Write anything else you wish.
Finally: Where is New Zealand?
Important: send an email to your family, telling them when your tests and final exam are in this class, advising them NOT to book travel that conflicts with these events. | 677.169 | 1 |
36 308 shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations 147 255 | 677.169 | 1 |
Overview
Business Math / Edition 17
BUSINESS MATH, 17E provides comprehensive coverage of personal and business-related mathematics. In addition to reviewing the basic operations of arithmetic, students are prepared to understand and manage their personal finances, as well as grasp the fundamentals of business finances. BUSINESS MATH, 17E prepares students to be smart shoppers, informed taxpayers, and valued employees. Basic math skills are covered in a step-by-step manner, building confidence in users before they try it alone. Spreadsheet applications are available on the Data Activities CD, and a simulation activity begins every chapter. Chapters are organized into short lessons for ease of instruction and include algebra connections, group and class activities, communication skills, and career spotlights.
The seventh edition of ARCHAEOLOGY reflects the most recent research and changes in the field,
while covering core concepts in an exceptionally student-friendly fashion by using personalized examples and high-interest topics. The text pairs two of archaeology's most recognized names, ...
This text is intended for the one-semester introductory biochemistry text for sophomore/junior level, non-biochemistry majors.
Most students who use this book are biology, agriculture, technology, nursing, physics, geology, or nutrition majors. A beginning biology, general chemistry, and at least one ...
Business Math, Tenth Edition unlocks the world of math by showing how it is used
in the business world. Written in a conversational style, the book covers essential topics such as banking, interest, insurance, taxes, depreciation, inventory, and financial statements. ...
Now readers can master the mathematical and spreadsheet skills most important to meet the demands
of today's business world with the proven, practical dual approach in Burton/Shelton's BUSINESS MATH USING EXCEL, 2nd Edition. This book's unique presentation first teaches the ...
This cutting-edge rhetoric with readings combines a process-oriented approach to argumentative writing with captivating essays
and dynamic visuals. Thoroughly tested in the authors' own classrooms, the engaging readings explore different perspectives on relevant topics such as the obesity epidemic, student ...
Now you can gain a solid understanding of microeconomic principles and how these principles affect
your daily life with the unique EXPLORING MICROECONOMICS, 7E. Rather than a traditional encyclopedic text filled with technical details, this book offers a modern, back-to-basics ...
FOUNDATIONS OF BUSINESS, 4E gives readers the comprehensive preparation they'll need to succeed in today's
competitive business world. By providing a brief survey of business, including management and organization, marketing, social media and e-business, information systems, accounting, and finance, this ...
Landscape Estimating and Contract Administration contains business information necessary for students studying landscape design, installation,
and maintenance. Each of the 22 chapters is designed to provide enough material for a one-hour classroom lecture. Self-testing questions and key word definitions in ... | 677.169 | 1 |
An Introduction to Analysis
For one/two-semester, junior/senior-level courses in Advanced Calculus, Analysis I, Real Analysis taken by math majors. The first semester is usually a general requirement; the second semester is often an option for the more motivated students.
Designed to challenge advanced students while bringing weaker students up to speed, this text is an advantageous alternative to most other analysis texts which either tend to be "too easy" (designed for an Intermediate Analysis course) or "too difficult" (designed for students headed for a Ph.D. in Pure Mathematics)―both of which usually tend to slight multidimensional material. Hailed for its readability, practicality, and flexibility, this text presents the Fundamental Theorems from a very practical point of view. Introduction to Analysis starts slowly and carefully, with a focused presentation of the material; saves extreme abstraction for the second semester; provides optional enrichment sections; includes many routine exercises and examples; and liberally supports (with examples and hints) what little theory is developed in the exercises.
"synopsis" may belong to another edition of this title.
About the Author:
William Wade received his PhD in harmonic analysis from the University of California―Riverside. He has been a professor of the Department of Mathematics at the University of Tennessee for more than forty years. During that time, he has received multiple awards including two Fulbright Scholarships, the Chancellor's Award for Research and Creative Achievements, the Dean's Award for Extraordinary Service, and the National Alumni Association Outstanding Teaching Award.
Wade's research interests include problems of uniqueness, growth and dyadic harmonic analysis, on which he has published numerous papers, two books and given multiple presentations on three continents. His current publication, An Introduction to Analysis,is now in its fourth edition.
In his spare time, Wade loves to travel and take photographs to document his trips. He is also musically inclined, and enjoys playing classical music, mainly baroque on the trumpet, recorder, and piano. | 677.169 | 1 |
Friday, September 30, 2016
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ISBN 13: 9780716717454
Geometry
Jacobs' highly successful, distinctive text was revised on the basis of users' comments and ten years of classroom experience - perfecting an already acclaimed approach to teaching geometry. "...the book concentrates on making the formal treatment of geometry both attractive and accessible..." The Mathematical Gazette Supplements: Teacher's Guide/Test Masters/Transparency Masters | 677.169 | 1 |
Mission Statement
The mission of the Department of Mathematics at Olivet Nazarene University is to develop in its students the characteristics of logical and analytical thinking, an appreciation of the beauty of mathematical structures, and problem solving skills needed for career and personal achievement. This mission includes instruction in mathematics for the liberal arts, instruction in mathematics in support of other disciplines, and instruction in advanced mathematics for departmental majors.
The objectives for each of the three levels that the Department serves are:
Level for Liberal Arts
To understand that mathematics is consistent and that there is a logical explanation for mathematical results.
To develop an appreciation for the use of mathematics in everyday life beyond the level of simple arithmetic (e.g. finance applications).
To be able to use mathematics (beyond simple arithmetic) to solve practical problems.
To prepare the student to take a course in statistics.
Level for Supporting Courses and Lower Level Courses for Majors
To understand that mathematics is a logical, deductive system.
To develop an appreciation for the use and power of mathematics in everyday life and for its use in specific academic disciplines.
To be able to use mathematics in specific applications, particularly as it relates to the student's discipline.
Level for Advanced Mathematics Majors
To understand the abstract nature of a mathematical system, consisting of undefined terms, axioms, definitions, and theorems; and to understand the logic that knits the system together.
To understand the power of mathematical abstraction and the universality of its applications.
To be able to use mathematics to pursue professional goals, whether in teaching, industry, or graduate studies. | 677.169 | 1 |
If you're curious about how things work, this fun and intriguing guide will help you find real answers to everyday problems. By using fundamental math and doing simple programming with the Ruby and R languages, you'll learn how to model a problem and work toward a solution | 677.169 | 1 |
MATH 141E enriches the regular MATH 141 syllabus by adding weekly applied problems, a small number of laboratory sessions, and a major group project for which both written and oral presentations are required. It is a rigorous calculus course with additional motivation and applications in the engineering sciences, designed to enhance the student's problem solving skills and their understanding of how calculus is applied to real world problems. The core material is the same as MATH 141.
MATH 141E provides an alternative to the regular MATH 141 for engineering majors. This course addresses the additional needs of engineering majors with regard to problem formulation and the interpretation of their mathematical solutions.
The prerequisite of the course is MATH 140, 140A, 140B, or 140E; or the consent of the instructor. Six sections of this course are offered every Spring semester.
Course evaluation is based on quizzes, weekly applied problems, two midterms, a group project, and a final examination | 677.169 | 1 |
12/2 I'd like to take Computer Vision CS280 next year. However, it requires
math 53/54. What's the difference between 53 and 54? Thanks.
\_ 53: Multivariable calculus - integrating over multiple variables
surface integrals, cool looking 3D pictures
54: Linear Algebra but not in the sense that is useful from any
kind of computer graphics work. The only thing you need
\_ yo: graphics != vision. I took 280 with malik
in 1994. grrrreat class!!! -nick
to know for, say 184/284, is transformations/translation
stuff. differential equations are also covered which is not
fun at all. DiffEq is used a lot in EE and E&M (especially
EE120) but chances are you're not going to have to know
what a Wronskian is. I still don't know but those jack
ass math profs (referring to Miller of course) think that
all this is really important.
The basic fact: only about 5% of what you learn in Berkeley
math classes will become applicable to you in the future.
\_ I'd be curious to know whose orifice you pulled this
statistic out of. i use what i learned in berkeley every
day. i have been thankful of having learned at least 90%
of it at one point or another.
you are an idiot if you don't think knowing diff eqs is
important. are you satisfied knowing only how to solve
diffeqs with constant coeffs? that solve 80% of the problems
you will run into as an EE, but that's about it. or are
you just satisifed not knowing how to solve diff eqs at
all? you think you've been doing fine without them, but the
truth is, people in Bangladesh probably think that their
lives are just fine too.
here's what you need from linear algebra for cs280: bases,
transformations, least squares, rank, singularity,
eigenvectors and eigenvalues, orthogonal, orthonormal.
That's basically all of the Anton book. -ali
\_ I never use any math beyond some very basic algebra. I
use *none* of the math I learned at Berkeley. This
pleases me more than you can imagine.
\_ Actually, math beyond basic algebra can be pretty
useful (especially some calc used in physics,
electrical, engineering, and some other science
classes). But the difference between the way a
high school teaches and a college does is that
in high school they teach you how to solve
practical problems whereas in berkeley
they're so caught up in theoretical proofs that
only math majors really care about.
\_ I'm not denying it. I'm just glad I'm not in
a position to need any of it. I'm not even
using HS math. More like Jr. High. Suits me
just fine. YMMV.
\_ well, good for you. but honestly, 90% is frikin insane.
Maybe you had a better prof than I did but I never
had to implement the things I learned from math 54 in
any physics 7 or EE classes to the extent that you
brag about. I admit having to solve simple diff eq's
and integrate relatively simple equations but I never
had to do boundry equations, prove the so called
"Keith Miller's Equivelance Theorem", find eigen vectors,
and do most of that math 54 crap. I'd like to know
whose orfice you're pulling that BS out of.
\_ I dunno, when I took 54 (then called 50B), I
actually used what I learned (when I was awake to
learn) a week or two lagged in Physics 7B...
\_ ali lives on a higher plane.
\_ You are all idiots. I use 0% of what I learned in
Cal. All I do everyday is to count the money I make
and the # of new concubines I get. And I learned how
to do that before I was born. College is useless;
education is stupid. Ignorance is strength and
self-esteem comes from the cavity of an empty head.
\_ Take upper division physics, math, chemistry, or
astronomy (probably others in engineering, too)
and it will make a lot more sense to you. The
lower divison math classes are essential to any
career in science or engineering (hence, they are
required) and really useful in some other fields,
too, like economics. --dim
\_ You can do just fine if you know math just up to Math
53/54. You can do hot sh*t and make much $ with insight
and initiative; you can also do hot sh*t that wouldn't be
possible without sophisticated math knowledge, and make
much $. You may feel fulfilled in either case, depending
on who you are. In either case, you will earn the
admiration of people who you think are brilliant and people
who you think are idiots, and disapproval and disgust from
the same range of persons. -jctwu
\_ Not really. Remember Ted Kazinski, the brilliant
math genius. I don't think anyone liked him.
\_ especially the rabbits. -jctwu
\_ "Math is hard! Let's go shopping!" -Barbie
\_ amen.
\_ Was it Barbie or Malibu Stacy?
\_ One, last I checked...
12/2 If someone parks a car illegally blocking my driveway after office
hours, which govt. dept. do I call to have it towed? Thanks.
\_ Post your address here so we can vandalize the car
and your home at the same time
\_ Tow Truck Company (after using your key of course)
\_ Police
\_ parking and transportation dept of police
\_ But do they work at night?
\_ Marine Corp.
\_ Goldberg.
\_ Just try to get someone to steal the car.
\_ Or put a bunch of bumper stickers all over it
\_ Those non-profit charities that take donated used cars
\_ Which can take a few weeks to get them to come by and
requires you fill out paper work, prove ownership, sign
papers transfering ownership, etc. Nice try though.
12/3 According to "man www" if I want to have server side includes on
my web page off of csua, I need to either change the file
extension to .shtml or make it executable. Is there any reason why
I shouldn't just change all my web page file permissions so I can
avoid having everything end with .shtml?
\_ for files identified as SSI-capable, the web server preprocesses
them line by line for every page hit. normal files are served
up "straight" without this overhead. --jwang
\_ So we're talking about a difference of probably milliseconds
per page load here?
\_ I've done this on a Linux server. I found differences of
several seconds. I never did figure out why the huge
difference.
\_ the only way there might be that much of a difference is
if your WWW server is CPU-bound (extremely unlikely) or
you're getting the documents off NFS or something. It
should not be a noticable difference. -tom
\_ But it is possible. It does depend on what is being
interpreted by the SSI. Use .shtml only if necessary.
\_ Are you implying it's better to make your file
executable then? Or in general, use SSI only if
necessary.
\_ the latter. -tom | 677.169 | 1 |
Introduction
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basic problem in computer vision is to understand the structure of a real world scene. This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms. First Edition HB (2000): 0-521-62304-9
Editorial Reviews
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"The authors have succeeded very well in describing the main techniques in mainstream multiple view geometry, both classical and modern, in a clear and consistent way....I heartily recommend this book." Computing Reviews
Book Description
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. The book covers the geometric principles and how to represent objects algebraically so they can be computed and applied. The authors provide comprehensive background material and explain how to apply the methods and implement the algorithms directly.
Top customer reviews
First a disclaimer. I am not an expert on projective geometry. However, I found the topics to be clearly explained and motivated so that I had no trouble following the progression. I only wish I had found this book sooner, as I spent much time and effort developing algorithms and formulae that I could have picked straight from the chapters of this text.
I graduated engineering school several years ago and was a bit intimidated to start something so new, but Hartley does a magnificent job of breaking things down into readable English.
Have you ever wondered why 4x4 matrices are used in computer graphics? In school we got a half-way answer about the projective matrix, but it was never really satisfying. This book explains the math behind that and much more clearly, leaving you with many "ah ha" moments.
The first edition of this book could have been much better written. It took up a lot of topics, but treated each in a summary fashion. In fairness, though, I must say that this may be as good as any other book with its aim and scope, and better than some. Any writer on computer vision faces the problem of guessing who the reader is likely to be and what the reader's background is. Also, each of the various topics really merits a sizable book. In particular, the mathematics needs a truly mathematical treatment in a separate book. I have not seen this second edition, but there was room for improvement over the first edition.
If you're interested in photogrammetry, buy this book. Extremely well written, extremely informative, and more clear than I could have hoped for. The only thing it doesn't provide is written out code (not even pseudocode) - just a plain-English description of each algorithm's steps. | 677.169 | 1 |
ASC 005 - Intermediate Algebra
(3)FA and SP, no credit. This course presents materials that emphasize the development of problem-solving skills and mathematical reasoning. Topics include graphing of linear and quadratic equations, exponents and polynomials, quadratic and logarithmic functions, and ratios and proportions. The course is designed to prepare students for courses that require some higher mathematical skills, as in some business or science classes. Mandatory enrollment in this course is determined by the results of the Math Placement Test given by Student Academic Services. A final grade of C or higher is required for successful completion of the course. | 677.169 | 1 |
, there's Schaum's. This all-in-one-package includes 73838 fully solved problems The latest course scope and sequences, with complete coverage of limits, continuity, and derivatives Succinct explanation of all precalculus conceptsÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them throughImprove your understanding of calculus and your grades will also improve with this effective study aid as your guide. Comprehensive and packed with 272 solved and supplementary problems, it can be used with any undergraduate calculus textbook.
If you want top grades and thorough understanding of precalculus, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you more than 600 accompanyingThis third edition of T eaching Mathematics for the 21st Century continues to help teachers let the secret out–to open up to their students the wonderful discoveries and challenges of the pattern-making and problem-solving aspects of a fascinating subject: mathematics. The rationale remains the same–to enable prospective and current teachers to access and use tools and strategies to effectively teach mathematics to contemporary students. Changing demographics, knowledge of how people learn, and technology all impact the way we educate our young people. This edition incorporates lessons and strategies from programs that have proven success in many types of classrooms. Many of these examples help students connect mathematics to real life situations and communicate their understanding of the underlying concepts. Although technology is constantly being upgraded, ways to increase student motivation through its application remains a goal. For example--since applets can enhance a lesson whether the teacher uses a computer projector, a "smart" board, or has students work individually on computers--we have identified several sources of mathematics applets that can be correlated to various lessons. Research citations and summaries have been updated to reflect current information on teaching and learning. For future teachers.
Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's. MorePre-Calculus Demystified leads the reader through all the intricacies and requirements of this essential course Whether you need to pass a class, a college requirement, or get a leg up on more advanced topics, this book provides clear explanation with a wealth of questions, answers and practical examples. Packed with practical examples, graphs, and Q&As, this complete self-teaching guide from the best-selling author of Algebra Demystified covers all the essential topics, including: absolute value, nonlinear inequalities, functions and their graphs, inverses, proportion and ratio, and much more. | 677.169 | 1 |
Computer algebra systems are gaining more and more importance in all areas of science and engineering. This textbook gives a thorough introduction to the subject, which is the basis of the mathematical engine in computer algebra systems. It is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics.
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. | 677.169 | 1 |
The purpose of this module is to provide participants with the skills, knowledge and attitudes required to solve differential equations at a level that would allow articulation to second year engineering degree mathematics.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title:
VBG871 Differential Equations
Learning Outcomes
On completion of this module the learner should be able to: 1. Identify, analyse and subsequently solve physical situations whose behaviour can be described by ordinary differential equations. 2. Determine solutions to first order separable differential equations. 3. Determine solutions to first order linear differential equations. 4. Determine solutions to first order exact differential equations. 5. Determine solutions to second order linear homogeneous differential equations with constant coefficients. 6. Determine solutions to second order linear non-homogeneous differential equations with constant coefficients
Details of Learning Activities
Students will be provided with classroom tutorial instruction in each of the units in order to complete the learning outcomes, tasks and assessment outcomes using provided and recommended materials, references and the textbook.
Teaching Schedule
Date
Week No.
Content
17 May
1
First order Differential Equations – Type 1 & 2
24 May
2
First order Differential Equations – Separable Variables
31 May
3
First order Linear Differential Equations
7 June
4
First Order Homogenous Differential Equations
14 June
5
Test 1
21 June
Student Vacation
28 June
Student Vacation
5 July
6
Second order linear Homogeneous Differential Equations
12 July
7
Second order linear non- Homogeneous Differential Equations
19 July
8
Particular Integral – f(x) is a polynomial
26 July
9
Particular Integral – f(x) is an exponent
2 Aug
10
Particular Integral – f(x) is a trigonometrical & Revision
9 Aug
11
Test 2
NOTE: Dates and activities may alter. Students will be advised in advance. | 677.169 | 1 |
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This ready-to-use project applies slope and linear equations to the beauty of snowflakes. Students graph from equations, write equations, and design their own snowflakes. Options included for slope only or slope and linear equations.
Teacher's guide, student handouts, and answer key included. | 677.169 | 1 |
Data science courses contain math—no avoiding that! This course is designed to teach learners the basic math you will need in order to be successful in almost any data science math course and was created for learners who have basic math skills but may not have taken algebra or pre-calculus. Data Science Math Skills introduces the core math that data science is built upon, with no extra complexity, introducing unfamiliar ideas and math symbols one-at-a-time | 677.169 | 1 |
This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a familiarity with linear algebra and finite groups. Topics were chosen to show the beauty and power of techniques in algebraic combinatorics. Rigorous mathematical proofs are expected.This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry.
This research-oriented course will focus on algebraic and computational techniques for optimization problems involving polynomial equations and inequalities with particular emphasis on the connections with semidefinite optimization. The course will develop in a parallel fashion several algebraic and numerical approaches to polynomial systems, with a view towards methods that simultaneously incorporate both elements. We will study both the complex and real cases, developing techniques of general applicability, and stressing convexity-based ideas, complexity results, and efficient implementations. Although we will use examples from several engineering areas, particular emphasis will be given to those arising from systems and control applicationsThis course is organized around algorithmic issues that arise in machine learning. Modern machine learning systems are often built on top of algorithms that do not have provable guarantees, and it is the subject of debate when and why they work. In this class, we focus on designing algorithms whose performance we can rigorously analyze for fundamental machine learning problems.Build your earth science vocabulary and learn about cycles of matter and types of sedimentary rocks through the Education Portal course Earth Science 101: Earth Science. Our series of video lessons and accompanying self-assessment quizzes can help you boost your scientific knowledge ahead of the Excelsior Earth Science exam . This course was designed by experienced educators and examines both science basics, like experimental design and systems of measurement, and more advanced topics, such as analysis of rock deformation and theories of continental drift. | 677.169 | 1 |
Presents study tools for basic math and pre-algebra including subject reviews, hundreds of practice problems, a diagnostic test, and a full-length test with answers that adapts to one's skill level. Includes a CD-ROM with six hundred practice problems.
This handbook offers training for success on exams that measure mechanical aptitude, symbol reasoning, and spatial relations for employment opportunities in the military, civil service, and private industry. The book features practice questions that cover all major exam topics | 677.169 | 1 |
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Study Guide for 5.01 Quiz
1. Be able to identify the path oxygen takes from the time it enters the body
2. Be able to identify the path carbon dioxide takes from the time it exits the body
3. What is the main overall purpose to our respiratory system?
4.
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Section 1.1 A Preview of
Calculus
Calculus
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change of quantities and the length, area, and
volume of objects. This study is driven by the
idea of a limit.
Calculus v Precalculus
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...Mathematics is an essential subject for all learners, IGCSE Mathematics encourages the development of mathematical knowledge as a key life skill. This course has been designed to help meet the needs of those who want an introduction to this challenging subject either with a view to further study... Learn about: Sequences functions, GCSE Mathematics, numbering system...
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...This is the ideal online course for individuals who would like to develop and enhance their mathematical skills. The certificate is broken down into small units (Awards) which will help you to build your confidence and ability in a range of topics areas. . The Basic Mathematical Skills course... Learn about: Basic IT training, Confidence Training, Skills and Training...
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... to develop new interests as they explore different areas of mathematics and they may then finally specialize in areas which students have chosen. Professionals... Learn about: Mathematical Statistics, Mathematics Algebra...
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... and ability in a range of topic areas, you can expect to learn more about using calculations, fractions, decimals, percentages and much more! . This home study course will enable you to highlight what you may already know, as well as teach you something new or a new method of working with mathematics... Learn about: Perimeter and Area, Skills and Training, Weight and Capacity...
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...Learners use and extend mathematical skills needed to solve problems in mechanics, analyse the physical factors impacting bodies, and consider the state of equilibrium or the movement of a body and interpret the underlying factors using known mathematical methods... Learn about: Coordinate geometry...
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This course is for residents in England, Scotland, Wales, Northern Ireland | 677.169 | 1 |
Precalculus: Modeling Our World (High School Version) (Comap, The Consortium For Mathematics And Its Applications) By COMAP .pdf
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This book is Number Thirty-Five in the Dolciani Mathematical Expositions series from the Mathematical Association of America.
From the back cover: This book "offers teachers an opportunity to deepen their knowledge of mathematics, not by exploring the far reaches of the subject, but by returning to the core. More generally, for the old hand and new devotee alike, this book will surprise, intrigue, and delight readers with unexpected aspects of old and familiar subjects. Do you recall fondly your first studies of these subjects? Do you remember a sense of wonder and fascination as the main ideas of calculus and algebra and geometry unfolded before your eyes? Would you like to experience it again, making new discoveries about such familiar subjects? If so, this book is for you.
"The book is particularly recommended for professional development and continuing education of secondary and college mathematics teachers. It provides teachers an opportunity to enrich and strengthen their command of mathematics, not at advanced theoretical levels, but in direct contact with the topics they teach. Seeing unexpected connections between familiar ideas and discovering interesting new aspects of these ideas contribute to deeper content knowledge and an appreciation of the richness of the mathematics surrounding the standard curriculum."
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"Logic is the glue that binds together arguments and proofs in all domains. This text aims to teach the use of this fundamental and pervasive tool and exercise it thoroughly in applications that arise in computer science and mathematics | 677.169 | 1 |
SMART MATH:
Intro to Developmental Algebra
In this situational comedy, a group of college students (puppets and humans alike) are forced to tolerate each other on the first day of school while attending a math class. Can the students get through the first day, filled with drama and math equations before they drive each other crazy? Click on "Episode #1" to find out. | 677.169 | 1 |
Any instructor teaching a college algebra class will find this text to be the perfect level of comprehensiveness. Some texts try to include too much and some texts leave to much out. With this text you can tell that the authors strive and succeed at finding the perfect amount of information to present and discuss when teaching concepts. The text covers the standard college algebra topics in an order conducive to learning. They start essentially with basics and equations followed by functions and then on to (in standard order) the five main functions: Linear, Polynomial, Rational, Exponential and Logarithmic. Following these standard functions are thorough discussions for every optional subject that shows up in different schools under different instructors. These include: Systems of Equations, Conic Sections, Sequences, Counting and Probability. Each of these sections cover the material thoroughly and in a completely self-contained manner so as to allow the instructor flexibility of including or not including any of these sections without having to supplement.
Accuracy rating: 5
A review of many of the examples in the sections and many of the homework problems and the solutions found at the end of the text have turned up no errors not already listed on the errata page. The authors have gone to great lengths to eliminate errors from the text. The authors have also decided to separate important definitions, results, concepts, and theorems in blue text boxes that direct the reader's attention as to say "something is really important here." Extensive review of these important points are error-free concise and clear.
Relevance/Longevity rating: 5
The content of college algebra has for the most part remained unchanged for years. This text is adequately relevant to the subject as it is taught today. There are very useful links to youtube videos that explain concepts. These links will have to be monitored for accuracy as the years go by in the event that the author of the videos moves and deletes videos. Furthermore, the use of real world examples in the chapter and the homework as informational/motivational pieces at the beginning of chapters are relevant and contain recent enough that students won't feel like they're reading a textbook from some other decade. I don't anticipate very many updates to the field of algebra, but if there are any, then the authors will be able to easily incorporate those updates in subsequent editions.
Clarity rating: 5
The book is written in a very clear concise manner that aims to teach in a self-contained manner. Student's will be able to pick up this book and learn from it with little outside supplementation. The jargon and technical terminology is perfect for a text at this level and teaches what needs to be taught. The authors walk students through learning in the way an instructor might do so in the classroom. The authors begin every section with clear expectations of learning objectives and then addresses each one of those objectives systematically including a "how to" section followed by examples showing students how to work problems followed by a "try it" section (with answers in the back of the book) allowing students to try their hand at problems. Often there are Q & A sections included that address the most common conceptual questions that instructors are asked by inquisitive students in the classroom. It is this organization/process that makes the book clear and easy to learn from.
Consistency rating: 5
This text is very consistent in the language used from section to section. The authors use terminology and symbols consistently from section to section and chapter to chapter. Besides consistency in the language used, the authors have managed to organize the chapters and sections with common fonts, text boxes, and overall layout so that students know what to expect and aren't distracted by the presentation while trying to learn new concepts
Modularity rating: 5
The chapters are appropriately designed and ordered. Each chapter is broken up nicely into sections. The text is sometimes self-referential, however, that is the nature of mathematics and scaffolding of learning is very much apart of that. The text could be easily reorganized if needed, but I think that the authors have really managed to organize the material in a way that is conducive to learning and I don't see why reorganization (except in perhaps very minor instances) would be needed. As mentioned before, the advanced chapters following logarithms are self-contained and can be taught in any order skipping chapters without loss of consistency.
Organization/Structure/Flow rating: 5
The order of the topics presented progress from easier to more difficult in a logical manner starting with a strong foundation and building upon that foundation. Within each chapter, examples and explanations are logical and flow easily from easy to more difficult.
Interface rating: 5
All navigation links to chapters and sections work well. The links to helpful youtube videos all work as well. The text uses appropriate organization of graphics and text highlighting important concepts in a non-distracting manner. Colors for text, fonts, headings are all appropriate and help to focus the reader's attention to what is truly important.
Grammatical Errors rating: 5
After reviewing this text for several weeks extensively, I have yet to find a grammatical error. The authors have worked very hard to eliminate errors from this text.
Cultural Relevance rating: 3
The text is not culturally insensitive or offensive in any way, however, there is really not too much effort to include examples or biographies that celebrate other cultures, ethnicities, or lifestyles. For example, using NFL examples are fine for the person that understands football, but this will not benefit students that have now knowledge of the NFL. If there is any room for improvement in this text this would be the area.
Comments
Here are some specific things that the book does really well. The examples in the homework do a great job of including problems that cater to the major areas of mathematics instruction namely: Graphical, analytical, numerical, and verbal. Calculator steps look like they cater to Texas Instruments. I'm not sure how this can be expanded to include other calculator manufacturers. Content-wise, the author does a great job of planting seeds early on for future learning. For example the authors introduce some simple transformations during the study of linear graphs before formally learning all of the other transformations in a later chapter. Later on, the authors do an exceptional job of teaching transformations including a very important and thorough discussion of how the order of transformations should be considered. This is something usually left out of most texts. The placement of even/odd functions immediately following reflections looks extremely effective! The authors seem to have found the perfect placement of this topic. There is an example or two of "solving logarithms mentally" which I believe goes a long way towards the goal of getting students to think about the mathematics they do. Discussion of conic sections are very thorough and even include derivations of the standard formulas!
Here are a few things that I think the authors could consider for their next edition. The discussion of graphing non-linear inequalities hearkens back to a method used for graphing linear inequalities. However, the only graphing of linear inequalities I could find in the text is in one variable. There is no real coverage of graphing linear inequalities in two variables (in the xy-plane) which is really what is needed in order to move to the non-linear case analogously. Otherwise, the discussion of graphing non-linear inequalities is adequately thorough. Also, as a personal opinion, I don't think that partial fractions belong in a college algebra text. But if you are going to include such a section, then there should be some sort of discussion as to why you only need constant placeholders when dealing with linear factors in the denominator and why you need linear place holders when you have irreducible quadratics in the denominator. The method presented only gives "this is what you do" and no mention of why. Otherwise the placement right after systems of equations is a perfect application. Finally, in the matrices section the authors present the shortcut method for finding the determinant of a 3x3 matrix which is fine. The authors then point out that the method and not applicable to higher dimension matrices. The follow this with a statement that determinants of higher dimension matrices should be done with technology due to heavy computation. I would like to have seen a discussion of the general method of minor and co-factor expansions or at least a mention that there is a more general method that is "outside the scope of this text."
Other than these very minor improvements, this is a very well written text that any college algebra instructor could use with success. I plan on adopting this text for my classroom within the next year or so. Thanks to the authors for the hard work and a wonderful product!
Reviewed by Jamie Wirth, Assistant Professor, Valley City State University, on 1/8/2016.
The content of the text is quite comprehensive and certainly includes the relevant content that would be expected of a college algebra text. Some read more
The content of the text is quite comprehensive and certainly includes the relevant content that would be expected of a college algebra text. Some might argue that trigonometric functions should be included in a college algebra text, yet I have found that most do not.
The table of contents (in both the online and PDF versions) is very useful, considering it provides links that allow you to jump straight to a specific section. The section numbering system, however, is not consistent between the online and PDF versions, causing slight confusion (e.g. in the PDF version, "Quadratic Equations" is section 2.5, but in the online version it is section 2.6). This is because the online version assigns section 1 of each chapter to the introduction, whereas the PDF version assigns section 1 to the first section of actual content, thus causing the two versions to be one section "off" from each other.
The index at the end of the book is also very useful, utilizing the links to quickly jump to specific pages where key terms are referenced.
Accuracy rating: 5
The text appears to be very well done concerning accuracy. Furthermore, the author provides instructors with a quick and easy way to report any errors.
Relevance/Longevity rating: 5
Typically, the main "content" of a college algebra text is not going to change over time, therefore the content in this text is up-to-date, relavent, and will not become obsolete any time soon. The authors do include multiple instances of modern examples within the technology and real-world applications sections of the exercises.
Clarity rating: 5
The text is pretty straight-forward with providing relevant content without excess dialogue or commentary.
Consistency rating: 5
The structure of the text is quite consistent. It is easy to navigate. From an instructor's point of view it should be easy to work through examples with students and provide ample opportunity to assign exercises.
Modularity rating: 5
The text provides a nice flow of commentary, figures, examples, etc.
Organization/Structure/Flow rating: 5
The layout/order of the various sections within the text is definitely clear and logical.
Interface rating: 5
As previously mentioned, there is a confusing inconsistency with section numbers between the online and PDF versions. Otherwise, the navigation is quite user-friendly. The links within the text that allow the user to jump to specific locations in the text (as opposed to excessive scrolling and manual searching) are quite useful.
Grammatical Errors rating: 5
The text appears to be grammatically sound.
Cultural Relevance rating: 5
I found no instances of culturally insensitive or offensive content.
Comments
The authors appear to have gone to great lengths to make this a user-friendly, comprehensive text. Furthermore, the inclusion of a wide variety of ancillary content for both instructors and students is much appreciated. I look forward to adopting this text for my college algebra sections.
Table of Contents
Preface
Prerequisites
Equations and Inequalities
Functions
Linear Functions
Polynomial and Rational Functions
Exponential and Logarithmic Functions
Systems of Equations and Inequalities
Analytic Geometry
Sequences, Probability, and Counting Theory
About the Book
College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs. College Algebra guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned.
OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
About the Contributors
Author(s)
Lead Author, Senior Content Expert
Jay Abramson, Arizona State University
Contributing Authors
Valeree Falduto, Palm Beach State College
Rachael Gross, Towson University
David Lippman, Pierce College
Melonie Rasmussen, Pierce College
Rick Norwood, East Tennessee State University
Nicholas Belloit, Florida State College Jacksonville
Jean-Marie Magnier, Springfield Technical Community College
Harold Whipple, Formerly of Columbia College
Christina Fernandez | 677.169 | 1 |
Factors, Zeros, and Solutions SmartBoard Lesson
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The objective for this lesson is How to look at zeros of polynomial functions, factors of polynomials, and solutions of polynomials equations to see their connections.
These lessons are done in Smart Notebook. Each lesson contains an Opening Activity (bell ringer);an objectives slide, which includes the common core standards the lesson is tied to; a definition slide; example slides; 'try' slides for the students; and a recap slide. Feel free to edit, change, add, or subtract from the lessons as you like. Make them your own. | 677.169 | 1 |
Introduction to Graph Theory
Introduction to Graph Theory
Introduction to Graph Theory
University of California, San Diego, Higher School of Economics
About this course: We invite you to a fascinating journey into Graph Theory — an area which connects the elegance of painting and the rigor of mathematics; is simple, but not unsophisticated. Graph Theory gives us, both an easy way to pictorially represent many major mathematical results, and insights into the deep theories behind them.
In this course, among other intriguing applications, we will see how GPS systems find shortest routes, how engineers design integrated circuits, how biologists assemble genomes, why a political map can always be colored using a few colors. We will study Ramsey Theory which proves that in a large system, complete disorder is impossible!
By the end of the course, we will implement an algorithm which finds an optimal assignment of students to schools. This algorithm, developed by David Gale and Lloyd S. Shapley, was later recognized by the conferral of Nobel Prize in Economics.
As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students.
Created by:University of California, San Diego, Higher School of Economics
What are graphs? What do we need them for? This week we'll see that a graph is a simple pictorial way to represent almost any relations between objects. We'll see that we use graph applications daily! We'll learn what graphs are, when and how to use them, how to draw graphs, and we'll also see the most important graph classes. We start off with two interactive puzzles. While they may be hard, they demonstrate the power of graph theory very well! If you don't find these puzzles easy, please see the videos and reading materials after them.
14 videos, 5 readings
Video: Airlines Graph
Video: Knight Transposition
Video: Seven Bridges of Königsberg
Lecture: Slides
Video: What is a Graph?
Bloc-notes: Graph Drawing Example
Video: Graph Examples
Video: Graph Applications
Lecture: Slides
Video: Vertex Degree
Video: Paths
Video: Connectivity
Video: Directed Graphs
Video: Weighted Graphs
Lecture: Slides
Video: Paths, Cycles and Complete Graphs
Video: Trees
Video: Bipartite Graphs
Lecture: Slides
Lecture: Glossary
Graded: Puzzle: Guarini's Puzzle
Graded: Puzzle: Bridges of Königsberg
Graded: Definitions
Graded: Puzzle: Make a Tree
Graded: Graph Types
WEEK 2
CYCLES
We'll consider connected components of a graph and how they can be used to implement a simple program for solving the Guarini puzzle and for proving optimality of a certain protocol. We'll see how to find a valid ordering of a to-do list or project dependency graph. Finally, we'll figure out the dramatic difference between seemingly similar Eulerian cycles and Hamiltonian cycles, and we'll see how they are used in genome assembly!
12 videos, 4 readings
élément LTI: Puzzle: Connect Points by Segments
Video: Handshaking Lemma
Video: Total Degree
Lecture: Slides
Video: Connected Components
Bloc-notes: Connected Components
Video: Guarini Puzzle: Code
Bloc-notes: Guarini Puzzle Solver
Video: Lower Bound
Video: The Heaviest Stone
Video: Directed Acyclic Graphs
Bloc-notes: Topological Sorting
Video: Strongly Connected Components
Bloc-notes: Strongly Connected Components
Lecture: Slides
Video: Eulerian Cycles
Video: Eulerian Cycles: Criteria
Bloc-notes: Eulerian Cycles
Video: Hamiltonian Cycles
Video: Genome Assembly
Lecture: Slides
Lecture: Glossary
Graded: Computing the Number of Edges
Graded: Number of Connected Components
Graded: Number of Strongly Connected Components
Graded: Eulerian Cycles
Graded: Puzzle: Hamiltonian Cycle
WEEK 3
Graph Classes
This week we will study three main graph classes: trees, bipartite graphs, and planar graphs. We'll define minimum spanning trees, and then develop an algorithm which finds the cheapest way to connect arbitrary cities. We'll study matchings in bipartite graphs, and see when a set of jobs can be filled by applicants. We'll also learn what planar graphs are, and see when subway stations can be connected without intersections. Stay tuned for more interactive puzzles!
11 videos, 4 readings
Video: Road Repair
Video: Trees
Video: Minimum Spanning Tree
Bloc-notes: Minimum Spanning Tree
Lecture: Slides
Video: Job Assignment
Video: Bipartite Graphs
Video: Matchings
Video: Hall's Theorem
Bloc-notes: Maximum Matching
Lecture: Slides
Video: Subway Lines
Video: Planar Graphs
Video: Euler's Formula
Video: Applications of Euler's Formula
Lecture: Slides
Lecture: Glossary
Graded: Puzzle: Road Repair
Graded: Trees
Graded: Puzzle: Job Assignment
Graded: Bipartite Graphs
Graded: Puzzle: Subway Lines
Graded: Planar Graphs
WEEK 4
Graph Parameters
We'll focus on the graph parameters and related problems. First, we'll define graph colorings, and see why political maps can be colored in just four colors. Then we will see how cliques and independent sets are related in graphs. Using these notions, we'll prove Ramsey Theorem which states that in a large system, complete disorder is impossible! Finally, we'll study vertex covers, and learn how to find the minimum number of computers which control all network connections.
14 videos, 5 readings
Video: Map Coloring
Video: Graph Coloring
Video: Bounds on the Chromatic Number
Video: Applications
Lecture: Slides
Video: Graph Cliques
Video: Cliques and Independent Sets
Bloc-notes: Maximum Clique
Video: Connections to Coloring
Video: Mantel's Theorem
Lecture: Slides
Video: Balanced Graphs
Video: Ramsey Numbers
Video: Existence of Ramsey Numbers
Lecture: Slides
Video: Antivirus System
Video: Vertex Covers
Video: König's Theorem
Lecture: Slides
Lecture: Glossary
Graded: Puzzle: Map Coloring
Graded: Graph Coloring
Graded: Puzzle: Graph Cliques
Graded: Cliques and Independent Sets
Graded: Puzzle: Balanced Graphs
Graded: Ramsey Numbers
Graded: Puzzle: Antivirus System
Graded: Vertex Covers
WEEK 5
Flows and Matchings
This week we'll develop an algorithm that finds the maximum amount of water which can be routed in a given water supply network. This algorithm is also used in practice for optimization of road traffic and airline scheduling. We'll see how flows in networks are related to matchings in bipartite graphs. We'll then develop an algorithm which finds stable matchings in bipartite graphs. This algorithm solves the problem of matching students with schools, doctors with hospitals, and organ donors with patients. By the end of this week, we'll implement an algorithm which won the Nobel Prize in Economics!Higher School of Economics
National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communications, IT, mathematics, engineering, and more.
Learn more on | 677.169 | 1 |
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About this product
Description
Description
This book presents episodes from the mathematics of medieval Islam, work which has had a great impact on the development of mathematics. The author describes the subject in its proper historical context, referring to specific Arabic texts. Among the topics discussed are decimal arithmetic, plane and spherical trigometry, algebra, interpolation and approximation of roots of equations. This book should be of great interest to historians of mathematics, as well as to students of mathematics. The presentation is readily accessible to anyone with a background in high school mathematics. | 677.169 | 1 |
Modeling and Applications Learning
Mathematical modelling is an abstract model that uses mathematical language to describe the behavior of a system. Mathematical models are used particularly in the
natural sciences and engineering disciplines (such as physics, biology, and electrical engineering) but also in the social sciences (such as economics, sociology and political science);
physicists, engineers, computer scientists, and economists use mathematical models most extensively.
Applications for modeling on modeling and applications learning
The following applications will helps for Learning applications of modeling.
The modeling can be used for identification of fingerprints.
The modeling can be used in private health insurance.
The modeling can be used for methodical problems of fishing sciences.
Using in optimal position of rescue helicopters in south Tyrol.
In ratio therapy planning for cancer patients.
It can be used in pricing for internet booking of flights.
The modeling applications are used in some risk management.
Examples on modeling and applications learning
The following figure helps for learning the modeling process and its applications
Example problems for learning the applications of modeling:
Suppose Ramesh has invested Rs.15000 at 8% simple interest per year. With the return from the investment, he wants to buy a
washing machine that costs Rs.19000. for what period should he invest Rs.15000 so that he has enough money to buy a washing machine?
Solution:
Step 1:
The formula for simple interest is Pnr
I = --------
100
Where,
P = principle
n = number of years
r % = rate of interest
I = interest
earned
Here, the principle = Rs.15000
The money required by ramesh for buying a washing machine = Rs19000
So, the interest to be earned = Rs (19000 - 15000)
= Rs 4000
The number of years for which Rs 1500 is deposited = n
The interest on Rs 1500 for n years at the rate of 8% = I
Then, 15000
* n * 8
= -------------------
100
So, I = 1200n (1)
This gives the relationship between the number of years and interest, if Rs 15000 is invested at an annual rate of 8%. | 677.169 | 1 |
Overview
Much of the mathematical knowledge of our society is preserved and conveyed in mathematical textbooks. However, few students read mathematical textbooks or have the necessary skills or disposition to engage with these texts. In this module we will look at some of the challenges in using mathematical textbooks and some strategies to help students engage more productively with mathematical textbooks.
The Unique Nature of Mathematical Textbooks
"Textbooks
have the potential to be powerful tools to help students develop an
understanding of mathematics" (Weinberg & Wiesner, 2011, p. 49).
"All mathematics textbooks are written in more than one language" (Kane, 1970, p. 579)
"Research indicates that math is the most difficult content area material to read, with more concepts per word, per sentence, and per paragraph than any other area" (Schell, 1982, p. 544).
"Reading mathematics is a multifaceted task because the reader is challenged to acquire comprehension and mathematical understanding with fluency and proficiency through the reading of numerals and symbols, in addition to words" (Adams, 2003, p. 786).
Mathematical textbooks are fundamentally different than most other genres of literature. They are not a story that can be read smoothly from start to finish or an expository text that makes an overall argument. Mathematical textbooks meld everyday language with specialized vocabulary, symbolic representations, graphical representations, and specialized content language.
In this module, we will examine the challenges for students as they engage with mathematical textbooks, the challenges for teachers as they try to assist students with these challenges, and some strategies that help in addressing these challenges. Please begin by clicking the "Challenges for students" link below. | 677.169 | 1 |
This ebook is available for the following devices:
iPad
Windows
Mac
Sony Reader
Cool-er Reader
Nook
Kobo Reader
iRiver Story
Written by well-respected authors, the Cambridge Checkpoint Mathematics suite provides a comprehensive structured resource which covers the full Cambridge Secondary 1 Mathematics framework in three stages. This brightly illustrated Coursebook for Stage 8 offers a comprehensive introduction to all topics covered in the syllabus. Worked examples show students how to tackle different problems, and plenty of exercise questions prepare students for the different types of questions they will face in their Progression test. Coverage of the Problem Solving framework is integrated throughout the course, with questions relating to the Problem Solving framework statements highlighted in the Coursebook. There is an accompanying Practice Book and Teacher's Resource CD-ROM available separately.
Review's title & body can't be emptyPlease enter a star rating for this reviewName field cannot be emptyInvalid emailYour review has already been submitted.Max length was exceededPlease fill out all of the mandatory (*) fields | 677.169 | 1 |
Originally published in 1962, as the second edition of a 1930 original, 'the main purpose of the book is to give a logical connected account of the subject, by starting with the definition of 'Number' and proceeding in what appears ... to be a natural sequence of steps'. The chapters cover all of the cornerstones of complex mathematical analyses; chapters include, 'Bounds and limits of...Sir Cumference and Lady Di discover "Fracton numbers" while purchasing cloth and cheese at the Fracton Faire. While twofourths may seem like the same as one-half, in truth it denotes two parts of one-half, or two quarters of the whole. But the real mystery is the fact that items at the fair keep disappearing, and Sir C, Lady Di, and the Earl of Fracton must set a numeric trap for the thief,...
MATHEMATICAL EXCURSIONS, Fourth Edition, teaches you that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands that prime numbers are connected to credit card transactions; that compound interest is connected to student loans; and that the perils of radioactive waste take on new...
This book introduces readers to the many variables and constraints involved in planning and scheduling complex systems, such as airline flights and university courses. Students will become acquainted with the necessity for scheduling activities under conditions of limited resources in industrial and service environments, and become familiar with methods of problem-solving.
This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of...
Soccer is the most mathematical of sports--riddled with numbers, patterns, and shapes. How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis.
What's the connection between an ant colony and Total Football, Dutch-style? How is...
This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics. In particular, a derivation of absorbing boundary conditions in viscoelastic and poroelastic media is presented, which later is employed in the applications. The partial differential equations describing the propagation of waves in Biot media are...
Optimal Sports Math, Statistics, and Fantasy provides the sports community--students, professionals, and casual sports fans--with the essential mathematics and statistics required to objectively analyze sports teams, evaluate player performance, and predict game outcomes. These techniques can also be applied to fantasy sports competitions.
This book introduces the reader to the vast area of research focusing on quantum mechanical systems described by continuous variables, such as positions and momenta of particles, which provide the theoretical framework for quantum optics and, more generally, quantum field theory. Once acquainted with the material in the book, a student with a physics or engineering background will be able to...
This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that the topics covered are ones that usually are included in any commutative algebra text. However, the contents of this book differ significantly from most commutative algebra texts: namely, its treatment of the Dedekind-Mertens formula, the...
This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics. Phase Transitions has been an active multidisciplinary field of research, bringing together physicists, computer scientists and mathematicians. The main research theme explores...
This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in B dlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also... | 677.169 | 1 |
Number Theory
The concepts provided listed here are beneficial for fixing mathematical contest difficulties in algebra and research. lots of the examples and routines that seem within the publication originate from mathematical Olympiad competitions around the globe.
In the 1st 4 chapters the authors hide fabric for competitions at highschool point. the extent advances with the chapters. the themes explored contain polynomials, useful equations, sequences and an common therapy of complicated numbers. the ultimate chapters supply a entire checklist of difficulties posed at nationwide and foreign contests in recent times, and suggestions to all workouts and difficulties awarded within the e-book.
It is helping scholars in getting ready for nationwide and overseas mathematical contests shape highschool point to extra complicated competitions and also will be worthy for his or her first yr of mathematical reviews on the college. it will likely be of curiosity to academics in collage and college point, and running shoes of the mathematical Olympiads.
Since the Thirties, the analytic concept of numbers has been remodeled by means of the effect of I. M. Vinogradov, and this article for upper-level undergraduates and graduate scholars testifies to its author's ingenuity and to the effectiveness of his tools. beginning with a dialogue of common lemmas, it advances to an research of Waring's challenge, together with explorations of singular sequence, the contribution of the fundamental periods, and an estimate for G(n). additional issues comprise approximation by way of the fractional components of the values of a polynomial, estimates for Weyl sums, the asymptotic formulation in Waring's challenge, the distribution of the fractional elements of the values of a polynomial, estimates for the best trigonometrical sums with primes, and Goldbach's challenge. 1954 edition.
Writer S.A. Stepanov completely investigates the present country of the speculation of Diophantine equations and its similar tools. Discussions specialize in mathematics, algebraic-geometric, and logical facets of the challenge. Designed for college students in addition to researchers, the ebook comprises over 250 excercises observed by means of tricks, directions, and references. Written in a transparent demeanour, this article doesn't require readers to have targeted wisdom of contemporary tools of algebraic geometry.
In the spring of 1976, George Andrews of Pennsylvania kingdom college visited the library at Trinity collage, Cambridge to check the papers of the overdue G.N. Watson. between those papers, Andrews found a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript was once quickly specified, "Ramanujan's misplaced notebook." Its discovery has usually been deemed the mathematical an identical of discovering Beethoven's 10th symphony.
This quantity is the 3rd of 5 volumes that the authors plan to write down on Ramanujan's misplaced workstation and different manuscripts and fragments present in The misplaced computing device and different Unpublished Papers, released via Narosa in 1988. the normal partition functionality p(n) is the point of interest of this 3rd quantity. particularly, ranks, cranks, and congruences for p(n) are within the highlight. different subject matters contain the Ramanujan tau-function, the Rogers–Ramanujan capabilities, hugely composite numbers, and sums of powers of theta functions.
Review from the second one volume:
"Fans of Ramanujan's arithmetic are absolute to be overjoyed through this ebook. whereas a few of the content material is taken without delay from released papers, so much chapters include new fabric and a few formerly released proofs were superior. Many entries are only begging for extra research and may surely be inspiring study for many years to come back. the subsequent installment during this sequence is eagerly awaited." - MathSciNet
Review from the 1st volume:
"Andrews a
nd Berndt are to be congratulated at the task they're doing. this can be the 1st step...on the right way to an knowing of the paintings of the genius Ramanujan. it may act as an concept to destiny generations of mathematicians to take on a role that may by no means be complete." - Gazette of the Australian Mathematical Society
The textual content provides the birational class of holomorphic foliations of surfaces. It discusses at size the idea constructed through L.G. Mendes, M. McQuillan and the writer to check foliations of surfaces within the spirit of the class of advanced algebraic surfaces.
This textual content for complicated undergraduates and graduate scholars surveys using Fibonacci and Lucas numbers in parts proper to operational examine, information, and computational arithmetic. It additionally covers geometric subject matters with regards to the traditional precept referred to as the Golden Section—a mystical expression of aesthetic concord that bears an in depth reference to the Fibonacci mechanism. The Fibonacci precept of forming a brand new quantity by means of a suitable mixture of earlier numbers has been prolonged to yield sequences with amazing and infrequently mystifying houses: the Meta-Fibonacci sequences. this article examines Meta-Fibonacci numbers, continuing to a survey of the Golden part within the aircraft and area. It additionally describes Platonic solids and a few in their much less frequent gains, and an appendix and different vitamins supply priceless heritage info. scholars and academics will locate this ebook suitable to experiences of algebra, geometry, likelihood thought, computational features, and combinatorial facets of quantity theory. Steven Vajda used to be born in Budapest in 1901 and died in England in 1995. For the last twenty-two years of his lifestyles, he used to be vacationing Professor of arithmetic at Sussex University. As a popular instructor, lecturer, and writer he performed an important position within the improvement of mathematical programming and operations learn and wrote greater than a dozen books and plenty of learn papers on those and different subject matters together with video game theory. | 677.169 | 1 |
Description - Mathematics for Economists by Viatcheslav Vinogradov
As the field of economics becomes ever more specialized and complicated, so does the mathematics required of economists. With "Mathematics for Economists", expert mathematician Viatcheslav V. Vinogradov offers a straightforward, practical textbook for students in economics - for whom mathematics is not a scientific or philosophical subject but a practical necessity. Focusing on the most important fields of economics, the book teaches apprentice economists to apply mathematical algorithms and methods to economic analysis, while abundant exercises and problem sets allow them to test what they've learned. | 677.169 | 1 |
Students define a linear function by choosing abscissa steps, initial ordinates, value, and change factors. The defined function is represented as a table of values and as points on a coordinate system. Students can enter an algebraic expression of the linear function and to see its graph on the same system of coordinates. Students can connect the slope of the linear function to the rate of change of the function and observe that a linear function has a constant rate of change.
The Rationale Behind the Feature (Specific Design Principle):
To enable students to understand constant rate of change in science disciplines and in mathematics, Yerushalmy (2005) has studied a new representation. Because students who learn the term "slope" have difficulties in making connections between a slope of the linear function and constant rate of change, they used this feature to create the "stair" model tool.
Context of Use:
Using this tool student can investigate the connection between three representations of the function ( expression, graph and table value) and to learn in visual way how the main property of the linear function (constant rate of change) is expressed in each of them.
References:
Models of functions and Models of situations: On the Design of Modeling-Based Learning Environments .by M. Yerushalmy & B Shternberg | 677.169 | 1 |
Description of the book "TI-83 Plus Graphing Calculator For Dummies":
Would you order a multi-course gourmet buffet and just eat salad? If you have a TI-83 Plus graphing calculator, you have a veritable feast of features and functions at your fingertips, but chances are you don't take full advantage of them. This friendly guide will help you explore your TI-83 Plus Graphing Calculator and use it for all it's worth, and that's a lot. With easy-to-follow, step-by-step instructions plus screen shots, "TI-83 Plus Graphing Calculator For Dummies" shows you how to: perform basic arithmetic operations; use Zoom and panning to get the best screen PDF display; use all the functions in the Math menu, including the four submenus - MATH, NUM, CPS, and PRB; use the fantastic Finance application to decide whether to lease or get a loan and buy, calculate the best interest, and more; and, graph and analyze functions by tracing the graph or by creating a table of functional values, including graphing piecewise-defined and trigonometric functions.This title also shows you how to: explore and evaluate functions, including how to find the value, the zeros, the point of intersection of two functions, and more; draw on a graph, including line segments ePub, circles, and functions, write text on a graph, and do freehand drawing; work with sequences, parametric equations, and polar equations; use the Math Probability menu to evaluate permutations and combinations; enter statistical data and graph it as a scatter plot, histogram, or box plot, calculate the median and quartiles, and more; and, deal with matrices, including finding the inverse, transpose, and determinant and using matrices to solve a system of linear equations.
Once you discover all you can do with your TI-83 Plus Graphing Calculator, you'll find out how to make it do more! This guide PDF shows you how to download and install the free TI Connect software to connect your calculator to your computer, and how to link it to other calculators and transfer files. It shows you how to help yourself to more than 40 applications you can download from the TI Web site, and most of them are free. You can choose from Advanced Finance, CellSheet, that turns your calculator into a spread sheet, NoteFolio that turns it into a word processor, Organizer that lets you schedule events, create to-do lists, save phone numbers and e-mail addresses, and more. Get this ePub book and discover how your TI-83 Plus Graphing Calculator can solve all kinds of problems for you.
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Advanced Placement Calculus (also known as AP Calculus or AP Calc AB/BC or simply AP Calc) is used to indicate one of two distinct Advanced Placement courses and examinations offered by the College Board, AP Calculus AB and AP Calculus BC.
AP Calculus AB
AP Calculus AB is an advanced placementcalculus course taken by high school students around the world, most of whom study at schools with an American curriculum. The course is traditionally taken after Precalculus, otherwise known as Introduction to Analysis, and is the first calculus course offered at most schools.
Purpose
"Calculus AB can be offered by an AP course by any school that can organize a curriculum for students with mathematical ability... Students who take an AP Calculus course should do so with the intention of placing out of a comparable college calculus course."[1]
Course content
The material includes the study and application of differentiation and integration, and graphical analysis including limits, asymptotes, and continuity.[2] An AP Calculus AB course is typically equivalent to one semester of college calculus.More specifically, the topics are[3]
AP Calculus BC
Purpose
"Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics... Students who take an AP Calculus course should do so with the intention of placing out of a comparable college calculus course."[1]
AP Calculus exam
Growth
Between 1990 and 2004, the number of students taking the AP Calculus exams has increased more than threefold.[5] The exams are now taken by more than 250,000 students each year.[6] The College Board intentionally schedules the AP Calculus AB exam at the same time as the AP Calculus BC exam in order to make it impossible for a student to take both tests and receive college credit for both in the same academic year.[7] They do not, however, bar a student from taking the two classes simultaneously; it is usually at the discretion of the individual school to label Calculus AB as the pre-requisite class for Calculus BC, although some schools do allow them as co-requisites for gifted students. However, the majority of schools require precalculus as a prerequisite to Calculus BC. In fact, the majority of students taking Calculus BC have not taken Calculus AB.
Format
The structures of the AB and BC exams are identical. Both exams are three hours and fifteen minutes long, comprising a total of 45 multiple choice questions and six free response questions.[8] They are further subdivided as follows:
Multiple-Choice, Section I Part A
Multiple-Choice, Section I Part B
Free-Response, Section II Part A
Free-Response, Section II Part B
# of Questions
28
17
3
3
Time Allowed
55 minutes
50 minutes
45 minutes
45 minutes
Calculator Use
No
Yes
Yes
No
The two parts of the Multiple-Choice section are timed and taken independently; students may work on the Section I Part A during the time for Section II Part B but are NOT allowed to resume using a calculator. The Free-Response section, however, is one hour-and-a-half administration. Students are required to put away their calculators after 45 minutes have passed during the Free Response section, and only at that point may begin Section II Part B. However, students may continue to work on Section II Part A during the entire Free Response time, albeit without a calculator during the latter half.
Scoring
The multiple-choice section is scored by computer, with a correct answer receiving 1 point, an incorrect answer losing 1/4 of a point, and a blank answer receiving 0 points. This total is multiplied by 1.2 to calculate the adjusted multiple-choice score.[9]
The free-response section is hand-graded by hundreds of educators each June.[10] The raw score is then added to the adjusted multiple choice score to receive a composite score. This total is compared to a composite-score scale for that year's exam and converted into an AP score of 1-5.
Students generally receive this score report by mail in mid-July of the year they took the test.[11] Alternately, they can receive their scores by phone as early as June 27 for a fee of $8 (although the College Board only officially recognizes July 1 as the first available date to receive grades by phone[12]). For the Calculus BC exam, an AB sub-score is included in the score report to reflect their proficiency in the fundamental topics of introductory calculus. The AB sub-score is based on the correct number of answers for questions pertaining to AB-material only.
Grade distributions for AP Calculus AB
In the 2009 administration, 230,588 students took the exam. The mean score was a 2.99. | 677.169 | 1 |
This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq code changes.
This book presents a collection of MATLAB-based chapters of various engineering background. Instead of giving exhausting amount of technical details, authors were rather advised to explain relations of their problems to actual MATLAB concepts.
This book is a complete guide to AMPL for modelers at all levels of experience. It begins with a tutorial on widely used linear programming models, and presents all of AMPL's features for linear programming with extensive examples.
This is is a supplement in discrete mathematics to concentrate on the computational aspects of the computer algebra system Maple. Detailed instructions for the use of Maple are included in an introductory chapter and in each subsequent chapter.
LEDA is a library of efficient data types and algorithms and a platform for combinatorial and geometric computing. This book, written by the main authors of LEDA, is the definitive account of how the system operates and how it can be used.
Learn the essential skills needed to use the flexible MATLAB system. You will be able to apply the highly modular system towards the purposes you need by harnessing the power of its different toolboxes.
This book provides an excellent initiation into programming in MATLAB while serving as a teaser for more advanced topics. It provides a structured entry into MATLAB programming through well designed exercisesIt covers the fundamentals while emphasizing the most essential numerical methods. Readers will enhance their programming skills using MATLAB to implement algorithms, discover how to use MATLAB to solve problems in science and engineering.
This is the 1st book in a three-volume series deploying MATLAB-based applications in almost every branch of science. This volume covers topics from different areas of engineering, signal and image processing based on the MATLAB environment.
This is the 2nd book in a three-volume series. This volumehe covers topics electronic engineering and computer science, MATLAB/SIMULINK as a tool for engineering applications, and telecommunication and communication systems.
This is the 3rd book in a three-volume series. This volume consists of mathematical methods in the applied sciences by using MATLAB, MATLAB applications of general interest, and MATLAB for educational purposes.
This book is for both students and engineers with wide range of applications in which MATLAB is the working framework, shows that it is a powerful, comprehensive and easy-to-use environment for performing technical computations.
This book presents research works using MATLAB tools, including techniques for programming and developing GUI, dynamic systems, electric machines, signal and image processing, power electronics, mixed signal circuits, genetic programming, etc.
The book illustrates a wide range of areas where MATLAB tools are applied, including mathematics, physics, chemistry, mechanical engineering, biological and medical sciences, communication and control systems, digital signal, etc.
This is an authoritative guide to generating readable, compact, and verifiably correct MATLAB programs. It is ideal for undergraduate engineering courses in Mechanical, Aeronautical, Civil, and Electrical engineering that require/use MATLAB.
This book will provide the reader with an understanding of biological signals and digital signal analysis techniques such as conditioning, filtering, classification and statistical validation for solving practical biological signal analysis problems using MATLAB.
The book covers the basic aspects of linear single loop feedback control theory. Explanations of the mathematical concepts used in classical control such as root loci, frequency response and stability methods are explained by making use of MATLAB.
The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques.
A unique feature of this book is its integration with the statistical software package SAS (Statistical Analysis System) computing environment. Basic applied statistics is assumed through multiple regression.
This book provides conceptual information about SAS software along with step-by-step examples that illustrate the concepts. It answers every question that a new or intermediate SAS® user might have. Examples are thorough, readable, and clear. | 677.169 | 1 |
Description of the book "An Introduction to Mathematical Reasoning: Numbers, Sets and Functions":
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many fundamental ideas which are part of the tool kit of any mathematician. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the classic proofs. The book presents mathematics as a continually developing PDF subject. Material meeting the needs of readers from a wide range of backgrounds is included. Over 250 problems include questions to interest and challenge the most able student as well as plenty of routine exercises to help familiarize the reader with the basic ideas.
Reviews of the An Introduction to Mathematical Reasoning: Numbers, Sets and Functions
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Download EBOOK An Introduction to Mathematical Reasoning: Numbers, Sets and Functions for free | 677.169 | 1 |
About this title:
Synopsis: Elementary Statistics: A Step By Step Approach is for introductory statistics courses with a basic algebra prerequisite. The text follows a nontheoretical approach, explaining concepts intuitively and supporting them with abundant examples. In recent editions, Al Bluman has placed more emphasis on conceptual understanding and understanding results, which is also reflected in the online homework environment, Connect Math Hosted by ALEKS. Additionally step-by step instructions on how to utilize the TI-84 Plus graphing calculator, Excel, and Minitab, have also been updated to reflect the most recent editions of each technology. Connect Math Hosted by ALEKS and LearnSmart for Bluman, Elementary Statistics, was developed by statistics instructors who served as digital contributors. Their experience in teaching statistics provided a significant advantage while they authored each algorithm and providing stepped out, highly detailed solutions that focus on areas where students commonly make mistakes. The result is an online homework platform that provides superior content and feedback, allowing students to effectively learn the material being taught. Several hundred new questions have been added to Connect Math Hosted by ALEKS for this edition to ensure a broader coverage of topics and alignment with the text content.
About the Author:
Allan G. Bluman is a professor emeritus at the Community College of Allegheny County, South Campus, near Pittsburgh. He has taught mathematics and statistics for over 35 years. He received an Apple for the Teacher award in recognition of his bringing excellence to the learning environment at South Campus. He has also taught statistics for Penn State University at the Greater Allegheny (McKeesport) Campus and at the Monroeville Center. He received his master's and doctor's degrees from the University of Pittsburgh.
Book Description McGraw-Hill Ryerson Higher Education, 2011. Book Condition: Good. 2 Edition. Ships from Reno, NV. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP93267967
Book Description McGraw-Hill Science/Engineering/Math. Hardcover. Book Condition: Very Good. Appearance of only slight previous use. Cover and binding show a little wear. All pages are undamaged with potentially only a few, small markings. Bookseller Inventory # G0070005508I4N00
Book Description McGraw-Hill Science/Engineering/Math. Book Condition: Very Good. Used books may not include access codes or one time use codes. Proven Seller with Excellent Customer Service. Choose expedited shipping and get it FAST. Bookseller Inventory # PEN-PJC-077-831
Book Description McGraw Ryerson Ltd479661U2 | 677.169 | 1 |
book was written with support from the US Department of Education in an effort to compile recommendations for pre-service teacher education. Based on the success of foreign programs, the book is intended to be used as a guide for mathematics departments to produce a two-year sequence of courses for preparing mathematics teachers.
Excerpt: "It has long been felt that the mathematical preparation of pre-service teachers throughout the country has been far too variable, and often too skimpy to support the kind of outcomes that the United States currently needs. Too few of our K - 12 graduates are able to work in technical areas or obtain college degrees in technical sub jects. This impacts society in many and increasingly harmful ways, and it is our failure in K - 8 mathematics instruction that is at the heart of the problem. ... This is especially true when we compare outcomes in the United States with outcomes in countries that do a better job of teaching mathematics, countries such as Poland, Hungary, Bulgaria, Romania, Singapore, China, and Japan, to name a few. ...It has also been increasingly recognized that if we are to improve our performance in K - 8 mathematics instruction, pre-service teachers should take focused, carefully designed courses directly from the mathematics departments, and not, as is often the case, just a single math methods course taught in the Education School. A focused two year sequence in the basic mathematics teachers have to know is the minimal mathematics sequence that pre-service teachers need in order to to successfully teach students in K - 8." | 677.169 | 1 |
Well done explanations of basic group theory
The study of abstract algebra begins with the study of groups and that starts with the basics of mathematical proof, sets and binary operations. This book begins with those basics and then steps through the fundamental concepts of group theory. The chapters on groups are:
A very fine introduction
I'm learning group theory in order to use it in physics. I found this book very good for a first introduction to the subject. It starts with pretty simple stuff and then proceeds with more serious matters. I find the example very clear, and I especially appreciate that full solutions to the exercises are provided, so that you can check your own findings. There are a few easy to amend typos, and I think the demonstration on page 46, theorem 20, part (2) is false. Finding another demo was a good exercise ! A pleasant surprise
Many books on algebra lose sight of the basic underlying ideas when the author gets caught up in the formalism. Formalism is good but, as Bourbaki has demonstrated, it isn't always the best thing for teaching newcomers.
A Fine Synthesis of Combinatorics, Geometry, and Algebra
With his usual lucidity, Fulton brings together the surprisingly wide area of mathematics concerned with Young tableaux.These are combinatorial patterns which index basis vectors of group representations (either of the symmetric group or the general linear group).These vectors can be seen as Plucker coordinate functions on non-linear representations, namely homogeneous spaces (Grassmannians and flag varieties).Thus, Young tableaux form an invaluable tool to examine these representations and varieties in concrete detail.Fulton also gives a good exposition of the combinatorial operations on tableaux which reflect the crystal basis structure from quantum GL(n), though Fulton does not explicitly discuss quantum groups.Other good expositions of these topics, from a more algebraic and combinatorial point of view, are Sagan's newly revised "The Symmetric Group", and Stanley's "Enumerative Combinatorics", Vol 2.
... Read moreCoincidence?I think not.Robert Zimmer's book is simply the best there is, and Margoulis' brilliant work is an excellent supplement to that standard mathematical text.As the great Swiss mathematician Armand Borel once said, "Margoulis' masterpiece, while inferior to some of my own work, is an excellent supplement to Zimmer's classic.Zimmer's book is the standard to which all mathematicians should aspire (along with myself, bien sur).Other than my own work, Margoulis' comes as close as possible to reaching that standard." Coincidence? I think not. Robert Zimmer's book is simply the best there is, and Margoulis' brilliant work is an excellent supplement to that standard mathematical text. As the great Swiss mathematician Armand Borel once said, "Margoulis' masterpiece, while inferior to some of my own work, is an excellent supplement to Zimmer's classic. Zimmer's book is the standard to which all mathematicians should aspire (along with myself, bien sur). Other than my own work, Margoulis' comes as close as possible to reaching that standard."
... Read more
Decent at best.
The book is decent.But is not a great text book.It's highlihgted formulas, etc... are very helpful, but it doesn't seem to explain a lot of things in a way to make them easily understandable.I have used manydifferent math books, and I would not use this one unless you are teaachingextremely bright students.
... Read more
Good Introduction to the zoo of Hyperbolic Geometry
This book is intended to introduce readers toHyperbolic Geometry in 3dimensions.The book covers from a review of hyperbolicsurfaces to theclassification program of 3-manifold initiated by Thurston.
... Read more
Great mathematics and graphics
The mathematician Felix Klein(1849-1925) made some great discoveries that can now be well understood by using computer graphics.Felix Klein is known for his work in non-euclidean geometry and for his work on the connections between geometry and group theory.
How mathematics can be used to create physical beauty
As a long-time reviewer of mathematics books, there was a time when I grew very bored with books written for the general mathematical audience. For years, it seemed mandatory that all contain a section on basic fractals and the Mandelbrot and Julia sets. It was not that the topics were not interesting, I found them fascinating, it was just that the explanations were all so similar that it became tedious to read them. Therefore, when I looked at the coverage of this book, I felt a pang of negative nostalgia, thinking that what I would find would be a repeat of what I had read so many times. Discrete groups made easy
[this review shall replace the already existing one]
typical math text
Sadly, this book does not live up to its Comprehensive, well organized, very applicable
The book may be considered an update of Weyl's classicfrom 1946 "The classical groups, their invariants andrepresentations". Naturally the theory has developedimmensly since then and a new comprehensive presentation has been urgently overdue.Goodman and Wallach are not only among the most qualified to write this next "classic" on the subject, they alsoput a phantastic effort into making it comprehensive, readable, and pleasant to use. I found it easy to find needed resultsand concrete formulae on decompositions of tensors andharmonics, duailty groups and centralizer algebras, mulitiplicity formulae, branching laws, etc.. The results aresystematically organized - almost in an "encyclopedial" style.The book also contains rather modern results, such as, for example, new proofs of the Kostant Rallis Theorem or therelationsbetween invariant theory and the Jones knot polynomial. | 677.169 | 1 |
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This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician's point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader's technique.The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader's convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology.Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis | 677.169 | 1 |
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February 16, 2016 --- Class 11 --- Introduction to Mathematica
Activities:
Introduction to Mathematica
A nine page handout on Mathematica is available at
~sg/mathematica_notes_sg_extended.pdf
Over the next several classes we will go through the notes
and the examples it contains.
It appears that there is a difference between P410 and P609
students regarding familiarity with Mathematica.
We covered Secs. A to G and will continue from there in the
next class.
A Mathematica notebook in ~sg/Documents/feb16_2016.nb records
what I did at the console. | 677.169 | 1 |
Formula Graphing Applets
This demonstrates one program from the package, "graphing",
of Java classes I am developing to use for graphing
mathematical functions in educational demonstrations.
The applet on this page is a general purpose graphing tool, which has features built in
to facilitate zooming in on features of interest on the graph, In addition to the usual
buttons for changing the graphing range, you can drag out a rectangle on the
graph with the mouse, and them zoom to the box, ie snap the scale of the graph to fit that
rectangle.
Example: One important mathematical concept this page demonstrates is local linearity. That is,
no matter which point of a differentiable graph you choose to zoom in on, eventually, once the
scale is suitably small, the curved line ends up looking like a straight line. The slope
of this straight line is the derivative of the curve at the point you were zooming in on.
Instructions:
Adding Functions
Press "Add Function" button and type in a formula to be graphed in standard mathematical notation
(eg "e^(-x/10)sin(x)"). The only variable the formula can use is x.
You can add as many functions as you like, and "Delete Function" deletes the last one you
entered.
Rescaling
This brings up a panel which you can use to edit the scale of the graph. The x
variable runs between xMin and xMax, and the y values run between yMin
and yMax. Use xScale and yScale to
set the spacing of tick marks on the axes. If xScale or yScale is zero, the
graph will have no tickmarks on that axis.
Zooming
You can change the scale of your picture quickly with "Zoom In", "Zoom Out" and "Zoom to Box".
The first two zoom in or out around the center of the graph. If you click and drag on the graphing
window, you can draw out a box, and Zoom To Box will zoom in to make that box fill the whole
window.
Please play with the program here, and see what it can do.It's still under
development; so go ahead and try to break it, and let me know if you can!
If you like my program and you want to use it in your pages, just include the tag
in your web pages and you'll get what you see here!
If you have suggestions for changes, developments, or extensions of this program please mail me.
Please mail me with bug reports too! | 677.169 | 1 |
Download and read online Algebra and Trigonometry Books a la Carte Edition in PDF and EPUB NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value-- For courses in Algebra and Trigonometry. Prepare. Practice. Review. Mike Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Tenth Edition has evolved to meet today's course needs. With this new edition, Mike Sullivan has developed MyMathLab features to help better prepare students and get them thinking more visually and conceptually. Features like Getting Ready exercises, Video Assessment exercises Enhanced Graphing Functionality and Skills for Success modules benefit student learning. Also, by implementing the New! Guided Lecture notes that focus students on the important concepts and help structure studying, students will have the most effective tools to succeed. Also available with MyMathLab
Download and read online Algebra Trigonometry in PDF and EPUB Larson's ALGEBRA AND TRIGONOMETRY is ideal for a two-term course and known for delivering sound, consistently structured explanations and carefully written exercises of the mathematical concepts. With the Tenth Edition, the author continues to revolutionize the way students learn material by incorporating more real-world applications, ongoing review and innovative technology. How Do You See It? exercises give students practice applying the concepts, and new Summarize features, and Checkpoint problems reinforce understanding of the skill sets to help students better prepare for tests. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text, and the companion website at LarsonPrecalculus.com offers free access to many additional tools and resources to supplement students' learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Download and read online Algebra and Trigonometry Books a la Carte Edition
Download and read online Algebra and Trigonometry in PDF and EPUB This latest edition of the successful Contemporary Sullivan Series features more modeling and real world data throughout the text. The usage of the Graphing Calculator remains optional, as do the new Internet Chapter Openings. The trigonometry is first de
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Download and read online Algebra and Trigonometry in PDF and EPUB "The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Download and read online Essentials of College Algebra Global Edition in PDF and EPUB Steadfast Support for Your Evolving Course. Essentials of College Algebra, Eleventh Edition, by Lial, Hornsby, Schneider, and Daniels, develops both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Eleventh Edition, the authors have adapted and updated the program for the evolving student, New co-author Callie Daniels brings her experience with traditional, hybrid, and online courses, to create a suite of resources to support today's learners. This program provides a better teaching and learning experience–for you and your students. Here's how: Support for learning concepts: a systematic approach is used to present each topic, and is designed to actively engage students in the learning process. The variety of exercise types promotes understanding of the concepts and reduces the opportunity for rote memorization. Support for review and test preparation: ample opportunities for review are interspersed throughout and at the end of chapters. MyMathLab® is not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information. MyMathLab is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts. | 677.169 | 1 |
A BETTER WAY TO COLLEGE ALGEBRA X-PERTISE One of the most valuable tools acquired in a university education, college algebra is essential for courses from the sciences to computing, engineering to mathematics. It can help you do better on placement exams, even before college, and it's useful in solving the computations of daily life. Now anyone with an interest in college algebra can master it. In College Algebra Demystified, entertaining author and experienced teacher Rhonda Huettenmueller breaks college algebra down into manageable bites with practical examples, real data, and a new approach that banishes algebra's mystery. With This fast and easy self-teaching course will help you: Perform better on placement exams Avoid confusion with detailed examples and solutions that help you every step of the way Conquer the coordinate plane, lines and intercepts, parabolas, and nonlinear equations Get comfortable with functions, graphs of functions, logarithms, exponents, and more Master aspects of algebra that will help you with calculus, geometry, trigonometry, physics, chemistry, computing, and engineering Reinforce learning and pinpoint weaknesses with questions at the end of every chapter, and a final at the end of the book
Don't let quadratic equations make you irrational If you are absolutely confused by absolute value equations, or you think parabolas are short moral stories, College Algebra DeMYSTiFied, Second Edition is your solution to mastering the topic's concepts and theories at your own pace. This thoroughly revised and updated guide eases you into the subject, beginning with the math fundamentals then introducing you to this advanced form of algebra. As you progress, you will learn how to simplify rational expressions, divide complex numbers, and solve quadratic equations. You will understand the difference between odd and even functions and no longer be confused by the multiplicity of zeros. Detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas. It's a no-brainer! You'll learn about: The x-y coordinate plane Lines and intercepts The FOIL method Functions Nonlinear equations Graphs of functions Exponents and logarithms Simple enough for a beginner, but challenging enough for an advanced student, College Algebra DeMYSTiFieD, Second Edition is your shortcut to a working knowledge of this engaging subject.
A self-teaching guide to basic arithmetic, covering whole numbers, fractions, percentages, ratio and proportion, basic algebra, basic geometry, basic statistics and probability You'll be able to learn more in less time, evaluate your areas of strength and weakness and reinforce your knowledge and confidenceYour step-by-step solution to mastering precalculus Understanding precalculus often opens the door to learning more advanced and practical math subjects, and can also help satisfy college requisites. Precalculus Demystified, Second Edition, is your key to mastering this sometimes tricky subject. This self-teaching guide presents general precalculus concepts first, so you'll ease into the basics. You'll gradually master functions, graphs of functions, logarithms, exponents, and more. As you progress, you'll also conquer topics such as absolute value, nonlinear inequalities, inverses, trigonometric functions, and conic sections. Clear, detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas. It's a no-brainer! You'll learn about: Linear questions Functions Polynomial division The rational zero theorem Logarithms Matrix arithmetic Basic trigonometry Simple enough for a beginner but challenging enough for an advanced student, Precalculus Demystified, Second Edition, Second Edition, helps you master this essential subject.
Take the FEAR OUT of Business Calculus Business Calculus Demystified clarifies the concepts and processes of calculus and demonstrates their applications to the workplace. Best-selling math author Rhonda Huettenmueller uses the same combination of winning step-by-step teaching techniques and real-world business and mathematical examples that have succeeded with tens of thousands of college students, regardless of their math experience or affinity for the subject. With Business Calculus Demystified, you learn at your own pace. You get explanations that make differentiation and integration -- the main concepts of calculus -- understandable and interesting. This unique self-teaching guide reinforces learning, builds your confidence and skill, and continuously demonstrates your mastery of topics with a wealth of practice problems and detailed solutions throughout, multiple-choice quizzes at the end of each chapter, and a "final exam" that tests your total understanding of business calculus. Learn business calculus for the real world! This self-teaching course conquers confusion with clarity and ease. Get ready to: Get a solid foundation right from the start with a review of algebra Master one idea per section -- develop complete, comfortable understanding of a topic before proceeding to the next Find a well-explained definition of the derivative and its properties; instantaneous rates of change; the power, product, quotient, and chain rules; and layering different formulas Learn methods for maximizing revenue and profit... minimizing cost... and solving other optimizing problems See how to use calculus to sketch graphs Understand implicit differentiation, rational functions, exponents, and logarithm functions -- learn how to use log properties to simplify differentiation Painlessly learn integration formulas and techniques and applications of the integral Take a "final exam" and grade it yourself! Who says business calculus has to be boring? Business Calculus Demystified is a lively and entertaining way to master this essential math subject!Your SOLUTION to mastering ALGEBRA! Trying to tackle algebra but nothing's adding up? No problem! Factor in Algebra Demystified, Second Edition and multiply your chances of learning this important branch of mathematics. Written in a step-by-step format, this practical guide covers fractions, variables, decimals, negative numbers, exponents, roots, and factoring. Techniques for solving linear and quadratic equations and applications are discussed in detail. Clear examples, concise explanations, and worked problems with complete solutions make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll learn how to: Translate English sentences into mathematical symbols Write the negative of numbers and variables Factor expressions Use the distributive property to expand expressions Solve applied problems Simple enough for a beginner, but challenging enough for an advanced student, Algebra Demystified, Second Edition helps you master this essential math subject. It's also the perfect resource for preparing you for higher level math classes and college placement tests.
Calculate this: learning CALCULUS just got a whole lot easier! Stumped trying to understand calculus? Calculus Demystified, Second Edition, will help you master this essential mathematical subject. Written in a step-by-step format, this practical guide begins by covering the basics--number systems, coordinates, sets, and functions. You'll move on to limits, derivatives, integrals, and indeterminate forms. Transcendental functions, methods of integration, and applications of the integral are also covered. Clear examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key concepts. It's a no-brainer! You'll get: Applications of the derivative and the integral Rules of integration Coverage of improper integrals An explanation of calculus with logarithmic and exponential functions Details on calculation of work, averages, arc length, and surface area Simple enough for a beginner, but challenging enough for an advanced student, Calculus Demystified, Second Edition, is one book you won't want to function without! Popular science/hobbyist writer Stan Gibilisco covers every important aspect of basic (algebra-based) statistics, including: notation and jargon, describing, tables, graphs, randomness and uncertainty, probability principles, distributions, obtaining and interpreting data, correlation, causation, and more.
THIS ONE OF A KIND BOOK IS WRITTEN SPECIFICALLY FOR INDIVIDUALS WHO HAVE SOME KNOWLEDGE OF ALGEBRA. THIS BOOK IS A UNIQUE SELF TEACHING GUIDE. ITS CLEAR, SIMPLE, AND CONCISE FORMAT INCLUDES ALL THE ESSENTIAL INFORMATION NEEDED TO LEARN COLLEGE ALGEBRA. THIS USER-FRIENDLY BOOK PROVIDES AN INVALUABLE TOOL FOR TEACHING ALGEBRA IN COLLEGES AND UNIVERSITIES. IT IS ALSO A USEFUL RESOURCE FOR THOSE WHO SIMPLY WANT TO DEVELOP A FUNDAMENTAL UNDERSTANDING OF COLLEGE ALGEBRA. THIS BOOK EXPLAINS THE FUNDAMENTALS OF COLLEGE ALGEBRA IN A SIMPLE WAY WITH EASY TO UNDERSTAND TERMS. IT INCLUDES MORE THAN 560 EXAMPLES, AS WELL AS THE ANSWERS TO MORE THAN 1,730 EXERCISE PROBLEMS. THE AUTHOR, ATEF ZAKI, IS A REGISTERED PROFESSIONAL ENGINEER WITH MORE THAN 40 YEARS EXPERIENCE. MR. ZAKI TAUGHT ENGINEERING CLASSES AT THE UNIVERSITY OF CALIFORNIA RIVERSIDE EXTENSION. MR. ZAKI ALSO SERVED AS A TECHNICAL EXPERT FOR THE STATE OF CALIFORNIA, AND HE IS ALSO THE AUTHOR OF TWO OTHER ALGEBRA BOOKS, "INTRODUCTORY ALGEBRA FOR BEGINNERS" AND "INTERMEDIATE ALGEBRA."
Known for a clear and concise exposition, numerous examples, and plentiful problem sets, Jerome E. Kaufmann and Karen L. Schwitters's COLLEGE ALGEBRA is an easy-to-use book that focuses on building technique and helping students hone their problem-solving skills. The eighth edition focuses on solving equations, inequalities, and problems; and on developing graphing techniques and using the concept of a function. Updated with new application problems and examples throughout, the eighth edition is accompanied by a robust collection of teaching and learning resources, including Enhanced WebAssign, an easy-to-use online homework management system for both instructors and students. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Your solution to MATH word PROBLEMS! Find yourself stuck on the tracks when two trains are traveling at different speeds? Help has arrived! Math Word Problems Demystified, Second Edition is your ticket to problem-solving success. Based on mathematician George Polya's proven four-step process, this practical guide helps you master the basic procedures and develop a plan of action you can use to solve many different types of word problems. Tips for using systems of equations and quadratic equations are included. Detailed examples and concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll learn to solve: Decimal, fraction, and percent problems Proportion and formula problems Number and digit problems Distance and mixture problems Finance, lever, and work problems Geometry, probability, and statistics problems Simple enough for a beginner, but challenging enough for an advanced student, Math Word Problems Demystified, Second Edition helps you master this essential mathematics skill.
Preempt your anxiety about PRE-ALGEBRA! Ready to learn math fundamentals but can't seem to get your brain to function? No problem! Add Pre-Algebra Demystified, Second Edition, to the equation and you'll solve your dilemma in no time. Written in a step-by-step format, this practical guide begins by covering whole numbers, integers, fractions, decimals, and percents. You'll move on to expressions, equations, measurement, and graphing. Operations with monomials and polynomials are also discussed. Detailed examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll learn: Addition, subtraction, multiplication, and division of whole numbers, integers, fractions, decimals, and algebraic expressions Techniques for solving equations and problems Measures of length, weight, capacity, and time Methods for plotting points and graphing lines Simple enough for a beginner, but challenging enough for an advanced student, Pre-Algebra Demystified, Second Edition, helps you master this essential mathematics subject. It's also the perfect way to review the topic if all you need is a quick refresh.
A no-nonsense, practical guide to help you improve your algebra II skills with solid instruction and plenty of practice, practice, practice Practice Makes Perfect: Algebra II presents thorough coverage of skills, such as handling decimals and fractions, functions, and linear and quadratic equations, as well as an introducing you to probability and trigonometry. Inside you will find the help you need for boosting your skills, preparing for an exam or re-introducing yourself to the subject. More than 500 exercises and answers covering all aspects of algebra will get you on your way to mastering algebra! | 677.169 | 1 |
Showing 1 to 15 of 15
MATRIX ALGEBRA
A matrix is a rectangular (or square) array of numbers in rows and columns.
It is a two-dimensional arrangement of numbers in rows and columns enclosed by a pair of
square brackets ([ ]), in the form shown below.
A =
a11
a21
a12
a22
a31
.
LINEAR PROGRAMMING
Definition
Linear Programming is the method of finding an optimal solution for a linear function F of n
variables, when the variables are under some linear constraints.
It is a mathematical technique for achieving the best outcome in a
DECISION MAKING WITHOUT PROBABILITIES
This involves approaches to decision making that do not require knowledge of the
probabilities of the states of nature.
These approaches are appropriate in situations in which the decision maker has little
confidenc
INTRODUCTION
Financial statement analysis is an integral and important part of the broader field of
business analysis. Business analysis is the process of evaluating a companys
economic prospects and risks. This includes analyzing a companys business
envi
CAPITAL BUDGETING
Various techniques of capital budgeting can be divided into two;
a) Modern techniques
b) Traditional techniques
Modern techniques are those techniques that use time value of money. They include the
following:
i)
Net Present Value (NPV)
i
MATHEMATICS OF FINANANCE
THE TIME VALUE OF MONEY
Simple Interest
Simple interest is the interest paid or received on the principal only. Simple interest is equal to
the product of the principal and the interest rate per period:
I=PV0 x i x n
Where I= the
MARKOV PROCESSES
Introduction
Markov analysis is a descriptive tool designed to predict the behavior of a system over time.
A Markov analysis is a procedure that can be used to describe the behavior of a system in a
dynamic situation.
Specifically, it
INPUT-OUTPUT ANALYSIS
Input-output analysis is used to analyze the interdependence of various segments of an
economy. According to this technique, an economy is divided into two broad sectors, the
sources or producers sector and the destinations or input | 677.169 | 1 |
This up-to-date book will prepare students for the new Geometry (Common Core) Regents exam. It features the first two actual Regents exams administered for the updated Geometry Regents, all answers thoroughly explained, study tips, test-taking strategies, score analysis charts, and moreThe Common core state standards for mathematics are a set of expectations and skills that students need to master to succeed in college and the real world. BarCharts' Math Common core series aligns with those specific standards to help guide students through their classes. Each guide in the series features real-world problems and examples, illustrations, and tables to help students retain informationThis two-book bundle includes bestselling math titles Algebra I For Dummies and Algebra I Workbook For Dummies. The books work together to give students all of the supplemental instruction and practice they need to score high in their high school Algebra class. The Workbook comes with free one-year access to quizzes online, where students can test their knowledge with end-of-chapters practice questions. | 677.169 | 1 |
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To get the most out of your college education, you need to choose your classes wisely -- and increasingly, that means choosing STEM. Today's job seekers should have at least a basic understanding of trigonometry and other science, technology, engineering, and math (STEM) fields. The U.S. Bureau of Labor Statistics projects more than 1.3 million job openings in math and computer-related fields by 2022. The purpose of this book is not to push you into a STEM career. It is simply to provide you with information and perspective, as well as a few questions that, if answered honestly, will help you plot out an educational and career pathway that will help you achieve your dreams. | 677.169 | 1 |
Oxford Student's Mathematics Dictionary40
to spend on books
Orders of £10 or more will earn 25%
of your order value back in
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What does binomial mean? And congruent? What about ellipsoid? Maths is confusing enough without all these odd words making it even worse. Luckily for you, help is at hand in this little wonder of a book. Thank it right now for saving your brain. Over 1000 maths words explained (phew), with feature panels on key topics. All with pictures to give your mental cogs a further rest. Take the mystery out of maths – it's all a whole lot simpler when you make this simple little purchase. | 677.169 | 1 |
these strategy guides contain detailed lessons and strategies for all of the question formats that appear on the Included in this set are: The Algebra GRE Strategy Guide (ISBN: 9781937707835) The Fractions, Decimals, & Percents GRE Strategy Guide (ISBN: 9781937707842) The Geometry GRE Strategy Guide (ISBN: 9781937707859) The Number Properties GRE Strategy Guide (ISBN: 9781937707866) The Word Problems GRE Strategy Guide (ISBN: 9781937707903) The Quantitative Comparisons & Data Interpretation GRE Strategy Guide (ISBN: 9781937707873) The Reading Comprehension & Essays GRE Strategy Guide (ISBN: 9781937707880) The Text Completion & Sentence Equivalence GRE Strategy Guide (ISBN: 9781937707897) Purchase of this set | 677.169 | 1 |
Mathematics and Statistics for the NZ Curriculum-Focus on Level 3 Workbook
Cambridge Mathematics and Statistics for New Zealand Focus on Level 3 Workbook and Student CD-ROM contains a workbook exercise for every unit, to consolidate students' understanding, plus a free student CD-ROM with cross-referenced examples for the exercises. | 677.169 | 1 |
Seriously? Umm... If you're a 6th grader or below, I forgive you and you can ignore what I'm about to say. Otherwise, you better seriously get your **** together. That's algebra 101 dude. You will fail life if you can't get algebra down, and I'm seriously not exaggerating. Math is only hard because you say that's it's going to be hard while you learn it. Algebra is gonna be huge in every math and science course you take for the rest of your life. | 677.169 | 1 |
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These are activities that can be used to review all the methods for solving quadratic equations.
Use the types of reviews that students like! I sometimes give a Scavenger Hunt or Relay in the morning to get the students up and moving, then use a Partner Problem, Tic Tac Toe after lunch. I always use the Powerpoint review the day prior to the test. When you have lots of reviews on the same subject, it allows you to customize your day.
This bundle includes 8 fun reviews to use to give your students extra practice! You can preview each of the reviews by using the links given below.
If purchased individually, these products would cost $34.00. By buying the bundle, you are saving 30%! This will save you money and countless hours preparing for your Algebra 1 class.
Common Core Standards:
A-REI 4. Solve quadratic equations in one variable.
a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form.
b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation.
Remember this is for YOUR use only! It is not to be shared with friends or colleagues. Other teachers must purchase their own products. You may not upload this resource to the internet in any form. If you are a department chair, principal or district administrator interested in purchasing several licenses, please contact me for a school-wide or district-wide quote at vickihines24@gmail.com. | 677.169 | 1 |
80883857250
Cambridge University Pres
Mathematics & Sciences; Groups & group theory
Paperback
324 pages
$105.00
Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation groups. They are relatively simple to describe in group theoretic terms, yet present a challenge to anyone trying to solve them. John Kiltinen shows how the theory of permutation groups can be used to solve a range of puzzles. There is also an accompanying CD that can be used to reduce the need for carrying out long calculations and memorising difficult sequences of moves. This book will prove useful as supplemental material for students taking abstract algebra courses. It provides a real application of the theory and methods of permutation groups, one of the standard topics. It will also be of interest to anyone with an interest in puzzles and a basic grounding in mathematics. The author has provided plenty of exercises and examples to aid study. | 677.169 | 1 |
The goal of this course is to introduce some basic mathematical tools
that are used to study biological problems. We will do this by
learning about two such problems: inferring evolutionary trees from
living species and determining the 3D structure of proteins by x-ray
crystallography and cryo-electron microscopy (cryo-EM).
These problems will give us the opportunity to see two beautiful
examples of how mathematics can be rigorously applied to study
interesting and important scientific problems. Here are some of the
topics we will encounter during the semester:
Rigorously modeling experimental science
Modeling problems using trees
Solving optimization problems
Modeling problems using Markov chains
Fourier Series and the Discrete Fourier Transform
The Radon Transform
Basic concepts in solving inverse problems
Writing computer simulations
Note: The above topics have applications in many other areas of pure
& applied mathematics, physics, chemistry and biology, so even if you
do not study any further math biology, my hope is that you will find
the course useful in your future work.
Homework
Homework 1
DEADLINE:<2016-09-08 Thu>
You may work on this assignment in groups, but each student must
hand in a solution that they themselves wrote up. Make sure you
give the names of everyone you worked with and properly cite any
sources you use (internet Q&A sites, books, etc).
Do not hand in a first draft of your solutions. Rewrite your first
draft neatly, checking for errors in reasoning and language.
Give the precise mathematical definitions of:
a connected graph,
adjacent vertices,
a path in a graph,
a cycle in a graph,
a tree \(T\).
For this problem, use two different colors of ink.
Draw your favorite tree with 5 vertices. Pick your favorite
two vertices in this tree and write down a path between
the vertices. Draw the path on the tree in a second color of
ink.
Draw your favorite graph that has 5 vertices AND has no
cycles AND is disconnected. Using your picture, prove that
there is not a path between every pair of vertices.
Draw your favorite graph that has 5 vertices AND has a cycle
AND is connected. Using your picture, prove that there is
not a unique path between every pair of vertices.
Prove the following theorem
Theorem. If \(v_0\) and \(v_1\) are two vertices in the tree \(T\), then there is a unique path from \(v_0\) to \(v_1\).
Note: Your solution to Problem #2 above shows why we must require \(T\) to be a tree: the theorem is simply not true if \(T\) is not a tree.
How many possible codons are there? How many amino acids are
found in organisms on Earth? Give an explanation that seems
plausible to you as to why these numbers are different.
Phylo Exercise 2.7.3
Phylo Exercise 2.7.4
Phylo Exercise 2.7.9
Homework 2
DEADLINE:<2016-10-06 Thu>
Phylo Exercise 3.8.1
Phylo Exercise 3.8.2
Phylo Exercise 3.8.5
Stats Section 3.6 Exercise 3.3
Stats Section 3.6 Exercise 3.5
Stats Section 2.6.1 Exercise 2.9
Stats Section 2.6.2 Exercise 2.23
Stats Section 2.6.2 Exercise 2.26
For the remaining exercises you will need to use the free software
packages numpy, scipy and matplotlib. See here for instructions
on installing these on your own computer. If you do not have access to
a computer, please contact me.
Before starting on the following problems, work through some exercises
in SL 1.3 and SL 1.4 on your own.
Download this dataset containing GRE scores for 33,282 students. Using numpy and matplotlib, plot histograms of the GRE score datasets.
Write a function plot_normal(mu, sigma) that superimposes a normal curve with mean mu and standard deviation sigma over the top of your histogram. Hand in the source code to your function.
Using your plot_normal() function, plot a number of different normal curves. Try to match the histogram. Plot the normal curve best matching the histogram. What is the mean and standard deviation of this curve curve? Hand plots with your best fitting normal curves and the mean and standard deviation you deduced.
Course Textbooks
Required readings will be taken from the following sources. You are not required to personally purchase any of these books.
Not free. Please do not purchase at this time - I will update with more information once we start covering the topics in this book.
Course Format
In this course you will be required to read, do homework (including writing code, see writing code),
take some quizzes, complete a big project, and take a final exam.
Readings
Each lecture will have assigned reading meant to be completed before the lecture.
Homework
In the first part of the course, you will have several individual homework assignments on phylogenetic inference.
Quizzes
There will be a handful of straightforward short unannounced quizzes on: your readings, past homework, mathematical definitions we've been using, etc.
Project
In the second half of the semester you will work in groups of 3-4 on a substantial project that will make up a large portion of your grade. This project will involve simulating electron microscope images of a 3D protein, and then recovering the 3D structure from the simulated images.
Project
During the second half of the semester you will complete a substantial
group project on protein reconstruction, including simulating 2D
images of a protein and then reconstructing a 3D model of the protein
from these images.
Writing code
This course will require everyone to write some computer code: you
will write snippets of code on several homework assignments, and
work in groups on a project that will involve a substantial amount of
programming. Today math biology is inseparably linked with
programming: some programming ability is basic literacy in this
field. Writing code is necessary not only for making biological
conclusions (e.g., analyzing a genome with 3 x 109 genes to infer an
evolutionary tree) but is also useful for forming and testing
mathematical hypotheses (e.g., is the Fourier basis appropriate for
the data I observed in this experiment?). Moreover, I believe that
writing short snippets of code to play and experiment with the topics
we cover is a fantastic way to truly master them.
In my experience most students have written code in another course and
will be able to manage this course's programming requirements. For
example, if you've ever written a Python or MATLAB function for a
course, you should be fine. If you've used R to analyze a dataset,
you should be fine. If you've taken CS 61A, the first introductory
semester course in programming, you're very well prepared.
"I've never written any code!" -some student, probably
If you've never written any code, don't panic. I will hold three
optional evening tutorials at the start of the semester on writing
basic Python code that should provide a good foundation for what
you'll need to know. You should plan to spend some extra time on the course at
the start of the semester to get your feet wet. I will also provide
extra resources on introductory programming and am willing to help you
outside of class anytime during the semester if you need it.
Writing code is a basic skill today. My hope is that developing some
programming literacy in this course will be very useful to you in the
future.
Workload: 9 hours a week outside class
This is an ambitious course - in only 14 weeks we will cover a lot of
interesting material. The University determines course requirements
expecting that each unit will require you to work 3 hours a week,
including class time. Math 127 is a 4 unit course, so you should
expect to spend 9 hours a week outside class working on this
course's readings, homework and projects.
My goal is to introduce you to two exciting topics at the interface
of mathematics and biology - my goal is certainly not to ruin your
life with a crushing work load. You should expect a challenging,
intellectually engaging course, and you should be prepared to work up
to 9 hours a week outside class, especially near project deadlines.
Important: If you find yourself consistently working more than 9
hours/week on this course, please contact me so we can fix it. | 677.169 | 1 |
Breaking Away from the Algebra and Geometry Book: Original and Traditional Lessons for Grades K-8 by Andrzej Ehrenfeucht, Patricia Baggett (Paperback, 2001)
$79.60 many of your students really love math? If the answer is, 't everyone,' this textbook is for you. It's a book filled with fun and practical ways to get young students interested in algebra and geometry. The book introduces basic concepts and actively involves children in the learning process. The challenging games, puzzles, and word problems use algebra, teaching kids to use variables for two- and three-dimensional geometry as well as arithmetic.
Author Biography
Patricia Baggett, Ph.D. is Professor in the Department of Mathematical Sciences at New Mexico State University. Andrzej Ehrenfeucht, Ph.D. is Professor in the Computer Science Department of the University of Colorado. Together, they are the authors of Breaking Away from the Math Book and Breaking Away from the Math Book II. | 677.169 | 1 |
Calculators are used because they answer math problems faster than we can, but they dont explain how the problem was solved. This means that the more people use calculators, the more they rely on them because they forget the basic math principals. ABTC Lite Calculator shows the correct order of solving equations. This allows students to quickly check their work and learn from their mistakes | 677.169 | 1 |
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Fundamentals of Mathematics
Baker & Taylor Provides a midterm and final exam in mathematics like those given at the Big 10 schools, to help students prepare
McGraw Hill ACE Your Midterms and Finals A new concept in test prep for a new generation of students These class-tested guides feature: Midterms and final examinations--one from each of the top universities throughout the country An introductory essay defining the nature and scope of the course, including its goals and what instructors expect students to learn A step-by-step guide to writing the essay and fully explained answers to essay questions--complete with discussion and notes from the professor | 677.169 | 1 |
This course offers a structured approach to Mathematics with clear explanations of new topics, worked examples and plenty of reinforcement exercises to ensure sound mathematical understanding, especially in pupils of lower ability. There are separate books for years 1-3 and a single book to cover work to be done in years 4 and 5 in preparation for CXC examinations at either Basic or General Proficiency level.The books provide:material to cover Consumer Arithmetica sensible and appropriate approach to the use of the calculatorrelevant group exercises to encourage investigation and discussionpractice exam in Book 1 and Book 2CXC Mathematics exam papers in Books 3 and 4numerous exercises in each chapterworked examples for each topic
About the Author:
Althea Foster and Terry Tomlinson are both experienced teachers at secondary level, are consultants for lower secondary syllabuses and are closely associated with the CXC Mathematics examinations. | 677.169 | 1 |
thatREA ...If Students Need to Know It, It's in This Book This book develops the mathematicsThis is a perfect supplement to any classroom math curriculum. The book covers 40 weeks of daily practice. It includes 4 math exercises a day for four days a week. A separate assessment is included with every exercise | 677.169 | 1 |
Complete Math Review for the Pharmacy Technician
ISBN-10: 1582121346
ISBN-13: 9781582121345 Math Review for the Pharmacy Technician is a friendly, self-instructional approach to lifelong understanding of pharmacy calculations. Filled with real-world practice problems and the author's good humor and encouragement, the book is a unique training resource, whether for the classroom, the national Pharmacy Technician Certification Examination, or the pharmacy practice setting. KEY FEATURES: Thoroughly covers every topic related to pharmacy calculations that a pharmacy technician needs to know Contains more than 750 practice problems an increase of more than 100 over the second edition spread throughout the book's 13 chapters, with answer key/solutions in the back New to this edition: The PI Challenge, more than 75 questions challenging the reader's ability to interpret information taken directly from actual pharmaceutical product package inserts Chapter titled Medication Errors and Clinical Challenges tests readers' ability to recognize medication calculation errors sometimes made by nurses, pharmacists, and physicians Concludes with a 101-question post-test, each question being a real-world problem a technician might encounter in pharmacy practice Written in a friendly, humorous style with amusing illustrations to ease the learning process for even readers with math phobia | 677.169 | 1 |
Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Introductory Algebra, Fifth Edition was written to provide students with a solid foundation in algebra and to help stuents make the transition to intermediate algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success 0133858189 / 9780133858181 Introductory Algebra Plus NEW MyMathLab with Pearson eText -- Access Card Package Package consists of: 0133864723 / 9780133864724 Introductory Algebra 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. | 677.169 | 1 |
Algebra GRE Strategy Guide 2nd Edition has been writing in one form or another for most of life. You can find so many inspiration from Algebra GRE Strategy Guide 2nd Edition also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Algebra GRE Strategy Guide 2nd Algebra Guide covers algebra in all its various forms (and disguises) on the GRE so that you can master fundamental techniques and nuanced strategies to solve for unknown variables of every type. Each chapter builds comprehensive content understanding by providing rules, strategies and in-depth examples of how the revisedManhattan GRE Set of 8 Strategy Guides 2nd Edition has been writing in one form or another for most of life. You can find so many inspiration from Manhattan GRE Set of 8 Strategy Guides 2nd Edition also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Manhattan GRE Set of 8 Strategy Guides 2nd Edition GRE Quantitative Comparisons & Data Interpretation is really two books in one, thoroughly covering two of the quantitative question types on the GRE. The Guide to Quantitative Comparisons provides you with a framework for understanding what Quantitative Comparisons questions test. Most importantly, it discusses time-saving strategies specific to the Quantitative Comparisons format so that you can know when to solve rigorously, when to estimate, and when to test numbers. The Guide to Data Interpretation presents an overview of the types of graphs students can expect to see on the GRE. It also discusses the different types of questions typically seen on the GRE and provides guidelines for reading graphs and combining information from different graphs to answer questions. Each chapter provides comprehensiveThe Algebra GMAT Strategy GMAT Prep Strategy Guides, the Algebra GMAT Strategy Guide will help students develop all the knowledge, skills, and strategic thinking necessary for success on the GMAT. Purchase of this book includes six months of access to Manhattan Prep's Algebra Question Bank. All of Manhattan Prep's GMAT Strategy Guides are aligned with the 2016 Edition GMAC Official Guide.
The Turbocharge Your GRE Series consists of 13 guides that cover everything you need to know for a great score on the GRE. Widely respected among GRE educators worldwide, Manhattan Review's GRE prep books offer the most professional GRE instruction available anywhere. Now in its updated 3rd edition, the full series is carefully designed to provide GRE test-takers with exhaustive GRE preparation for optimal test scores. Manhattan Review's GRE prep books teach you how to prepare for each of the different GRE testing areas with a thorough instructional methodology that is rigorous yet accessible and enjoyable. You'll learn everything necessary about each test section in order to receive your best possible GRE scores. The full series covers GRE verbal, quantitative, and writing concepts from the most basic through the most advanced levels, and is therefore a great study resource for all stages of GRE preparation. Students who work through all books in the series significantly improve their knowledge of GRE subject matter and learn the most strategic approaches to taking and vanquishing the GRE.Bringing his critical analysis and groundbreaking strategies to the GRE, the author, a leading test-taking expert, provides the most current information, powerful study tools and four adaptive practice tests. Original. | 677.169 | 1 |
Physics math problems
Challenging physics problems but do not require mathematical drudgery. That class of problems appears in. Brainteaser Physics, Challenging Physics Problems. In my experience tutoring basic physics, I have worked out a few concepts that can help you conquer problems. Challenging physics problems but do not require mathematical drudgery. That class of problems appears in. Brainteaser Physics, Challenging Physics Problems. Open Problems in Mathematical Physics. Quick Access. This page leads to a collection of significant open problems gathered from colleagues. Geometry and Physics. How to Learn Math and Physics John Baez January 2, 2016. Introduction; How to Learn Physics; How to Learn Math; Introduction How to learn math and physics - the.
These problems allow any student of physics to test their understanding of the use of the four kinematic. Describing Motion with Equations » Sample Problems and. 3 This is revealing. It implies that physicists use their idea of what physical quantity a symbol represents to decide how the math should be interpreted. Basic Math Practice with Physics Word. Solve a Problem reference sheet and the Basic Math. MORE Basic Math Practice with Physics Word Problems. Team is capable of solving complex cross- disciplinary problems or mathematical problems 2016 Physics, Materials, and Applied Mathematics. 32. Problen1s In Physics The problems published in this collection were compiled by me for students of the Moscow Physi cal-Technical Institute, where I.
Physics math problems
Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or. MATHEMATICAL PHYSICS PROBLEMS AND SOLUTIONS The Students Training Contest Olympiad in Mathematical and Theoretical Physics (on May 21st – 24th, 2010. Physics Phenomena Physics is Fun. Physics Math Review a problem often arises when conversion factors are needed for two and three dimensional problems
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines the field as. Physics In my experience tutoring basic physics, I have worked out a few concepts that can help you conquer problems. 3 This is revealing. It implies that physicists use their idea of what physical quantity a symbol represents to decide how the math should be interpreted. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with.
Physics Phenomena Physics is Fun. Physics Math Review a problem often arises when conversion factors are needed for two and three dimensional problems.
Physics An explanation YOU can understand of word problems--not how to do the math Think Like a Physicist. Gary and Kenny Felder's Math and Physics Help Home Page. An explanation YOU can understand of word problems--not how to do the math Think Like a Physicist. Gary and Kenny Felder's Math and Physics Help Home Page. | 677.169 | 1 |
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Mathematics
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The person's brain sends appropriate messages to various body parts that move air toward the mouth, and move mouth, lips, and tongue in appropriate manners. You show the way - also with your attitudes, your way of life. This course focuses on methodology and assessment strategies that enhance learning in mathematics. Teaching Children Mathematics, 8, 372-377. With these sta...
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Members are typically members of the mathematics and education departments of the community colleges, universities and colleges in Oregon. S. also had one of the smallest groups of individuals with top scores in math. Working mostly with raw data, primary sources, and interactive material, constructivist teaching asks students to work with their own data and learn to direct th...
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Rickey has photocopy of pp. vi +16-25, 32-35, 40-47, 50-53; the last few pages are the bibliography of this small booklet.] The Publication on Technology in American Education mentioned above gives a different date for the introduction of blackboards to West Point, "The blackboard was introduced to West Point Military Academy in 1817 by Claude Crozet, who had been an ex-officer ...
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There have been calls for traditional large-scale assessments not only to measure (or assess) but also improve (or support) student mathematical learning. The first set of cards works with factor pairs for natural numbers and finding the GCF for two numbers. Critics say it fails to stress basic computational skills, leaving students unprepared for higher math. The matrix is i...
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Exposition, from the latin expositorius, means to explain. In TAI, students work in four- or five-member learning teams on individualized materials. Specifically, in a general constellation we never ruled out multiple connections connecting the same two stars. Within 10 years, Steiner's school in Stuttgart was the largest private school in Germany. His questioning, probing ...
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Virtually there are many positive points to consider and hopefully challenge to solve existing problem. If you continue browsing the site, you agree to the use of cookies on this website. BTW, the people that put men on the moon were not exactly hamstrung by their elementary schooling in the 50's and 60's. Math can be almost everywhere when you are looking for it. It procee...
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In these examples, the student leader or the instructor serves as a coach or facilitated who interacts with the group, as necessary, to keep it on track or to encourage everyone in the group to participate. The College Readiness Standards define the core knowledge and skills expected of students in college entry-level math. This course would start with a week of lectures simi...
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The district-level analysis showed that the TAI group scored higher than the control group for Mathematics Computations. For example, in developing smart intuitions, math students might consider "Is the use of this mathematical procedure warranted in this instance?" "Am I getting closer to the correct solution?" (pp. 102-103) "Actively manage the social and emotional climat... | 677.169 | 1 |
Basic College Mathematics
ISBN-10: 0131490575
ISBN-13: 9780131490574
Edition: 5th clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. Chapter 7, Geometry, has been extensively revised and re-organized to include a new section 7.1 on angles and new section 7.4 devoted to triangles. Increased coverage of estimating with fractions and decimals with new To Think About exercises in Sections 2.5, 2.8, and 3.3 and a new lesson in Section 3.7. Coverage of fractions in Chapter 2 has been expanded as follows: Section 2.6 now begins with a discussion of least common multiples so that the subsequent coverage of least common denominators is more complete; a new lesson on order of operations in Section 2.8 offers readers additional review of these rules and practice applying them to fractions; and a new mid-chapter test on fractions appears after Section 2.5. Percent applications are now covered in two sections (Sections 5.4 and 5.5) to allow for a more patient presentation of this important topic.
Normal 0 false false false John Tobeyreceived his BA in mathematics from Wheaton College in Wheaton, Illinois in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and has served as the mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts. nbsp; Jeffrey Slaterhas been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Marblehead, Mass. with his wife Shelley and his yellow lab Gracie. nbsp; Jamie Blairhas directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the Center, and as a result of this effort has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007 Jamie was appointed to the Team of Basic Skills Specialist by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California | 677.169 | 1 |
MAT5000 introduces students to the development of mathematics across time, geography, and culture within a Biblical worldview. Students will consider how these influences shape the study and instruction of mathematics, with attention give to quantitative reasoning, covariational reasoning, and problem solving play in learning major ideas of mathematics | 677.169 | 1 |
Most popular Mathematics downloads
CurveFitter performs statistical regression analysis to estimate the values of parameters for linear, multivariate, polynomial, exponential and nonlinear functions. The regression analysis determines the values of the parameters that cause the function to best fit the observed data that you provide. This process ...
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Mathematics for Elementary and Middle School Teachers III
MATH 215 (3)
Algebra from the viewpoint of the elementary curriculum with emphasis on proportional and linear relationships. Also included: data analysis and other topics with connections to the elementary curriculum. Problem solving is emphasized throughout.(T) | 677.169 | 1 |
1.1 Why choose Cambridge?
University of Cambridge International Examinations (CIE) is the world's largest provider of international qualifications. Around 1.5 million students from 150 countries enter Cambridge examinations every year. What makes educators around the world choose Cambridge?
Recognition
A Cambridge International A or AS Level is recognised around the world by schools, universities and employers. The qualifications are accepted as proof of academic ability for entry to universities worldwide, though some courses do require specific subjects. Cambridge freestanding qualification. They are accepted in all UK universities and carry half the weighting of an A Level. University course credit and advanced standing is often available for Cambridge International A/AS Levels in countries such as the USA and Canada. Learn more at
Support
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CIE is part of Cambridge Assessment, a not-for profit-organisation and part of the University of Cambridge. The needs of teachers and learners are at the core of what we do. CIE invests constantly in improving its qualifications and services. We draw upon education research in developing our qualifications.
Cambridge International A & AS Level Mathematics 9709. Examination in June and November 2012.
2
3
. recognising when and how a situation may be represented mathematically. the further development of mathematical skills including the use of applications of mathematics in the context of everyday situations and in other subjects that they may be studying. Successful candidates gain lifelong skills. Introduction
1.
The syllabus allows Centres flexibility to choose from three different routes to AS Level Mathematics – Pure Mathematics only or Pure Mathematics and Mechanics or Pure Mathematics and Probability and Statistics. the use of mathematics as a means of communication. or Probability and Statistics.2 Why choose Cambridge International A & AS Level Mathematics?
Cambridge International A & AS Level Mathematics is accepted by universities and employers as proof of mathematical knowledge and understanding. or both.1. in the broad area of 'applications'. Centres can choose from three different routes to A Level Mathematics depending on the choice of Mechanics. a solid foundation for further study.
Cambridge International A & AS Level Mathematics 9709. the ability to analyse problems logically. including: • • • • • a deeper understanding of mathematical principles. Examination in June and November 2012.
Examination in June and November 2012.3 Cambridge Advanced International Certificate of Education (AICE)
Cambridge AICE is the group award of Cambridge International Advanced Supplementary Level and Advanced Level (AS Level and A Level).org.4 How can I find out more?
If you are already a Cambridge Centre
You can make entries for this qualification through your usual channels.
4
.cie.1. A candidate working towards the Cambridge AICE Diploma may use up to three sessions to take the equivalent of six credits as long as they are taken within a 13-month period. The examinations are administered in May/June and October/November sessions each year. Mathematics (9709) falls into Group A. To be considered for an AICE Diploma. If you have any queries. Cambridge AICE involves the selection of subjects from three curriculum areas – Mathematics and Science.cie.
Cambridge International A & AS Level Mathematics 9709. Half-credits are also available in English Language and Literature in English and may be combined to obtain the equivalent of a single credit.uk/qualifications/academic/uppersec/aice. Learn more about AICE at with at least one course coming from each of the three curriculum areas.org. CIE Direct. please contact us at international@cie. Introduction
1. a candidate must earn the equivalent of six credits by passing a combination of examinations at either double credit or single credit. Email us at international@cie.org.g. An A Level counts as a double-credit qualification and an AS Level as a single-credit qualification within the Cambridge AICE award framework.org.uk. Languages. Mathematics and Sciences. e.
If you are not a Cambridge Centre
You can find out how your organisation can become a Cambridge Centre. Learn more about the benefits of becoming a Cambridge Centre at www. Arts and Humanities.uk.
1.uk.
Mechanics (units M1 and M2).
AS Level candidates take:
Paper 1: Pure Mathematics 1 (P1) 1¾ hours About 10 shorter and longer questions 75 marks weighted at 60% of total plus one of the following papers: Paper 2: Pure Mathematics 2 (P2) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 40% of total Paper 4: Mechanics 1 (M1) Paper 6: Probability and Statistics (S1) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 40% of total
1¼ hours About 7 shorter and longer questions 50 marks weighted at 40% of total
Cambridge International A & AS Level Mathematics 9709. P2 and P3).
5
. follow a staged assessment route to the A Level by taking two Advanced Subsidiary (AS) papers (P1 & M1 or P1 & S1) in an earlier examination session. Assessment at a glance
Cambridge International A & AS Level Mathematics Syllabus code 9709
The 7 units in the scheme cover the following subject areas: • • • Pure Mathematics (units P1. Examination in June and November 2012. Probability and Statistics (units S1 and S2).2. take the Advanced Subsidiary (AS) qualification only.
Centres and candidates may: • • • take all four Advanced (A) Level components in the same examination session for the full A Level.
6
. Assessment at a glance
A Level candidates take:
Paper 1: Pure Mathematics 1 (P1) 1¾ hours About 10 shorter and longer questions 75 marks weighted at 30% of total plus one of the following combinations of two papers: Paper 4: Mechanics 1 (M1) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 20% of total Paper 6: Probability and Statistics 1 (S1) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 20% of total Paper 3 Pure Mathematics 3 (P3) 1¾ hours About 10 shorter and longer questions 75 marks weighted at 30% of total
or
Paper 4: Mechanics 1 (M1) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 20% of total Paper 5: Mechanics 2 (M2) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 20% of total
or
Paper 6: Probability and Statistics 1 (S1) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 20% of total Paper 7: Probability and Statistics 2 (S2) 1¼ hours About 7 shorter and longer questions 50 marks weighted at 20% of total
Cambridge International A & AS Level Mathematics 9709.2. Examination in June and November 2012.
Unit P3 is also sequential to unit P1. and may not be used for certification unless P1 is being (or has already been) used. otherwise.org.
Relationships between units
Units P2. Details of the items in this list are given for reference in Section 6. The subject content of unit P2 is a subset of the subject content of unit P3.uk for the latest information before beginning to teach this syllabus. M1.2. Centres in the UK that receive government funding are advised to consult the CIE website www.
7
. A list of formulae and tables of the normal distribution (MF9) is supplied for the use of candidates in the examination. and calculators capable of algebraic manipulation.
Availability
This syllabus is examined in the May/June examination session and the October/November examination session.cie. S1 respectively. although later units in each subject area assume knowledge of the earlier units. are not permitted. M2. S2 are sequential to units P1. It is expected that candidates will have a calculator with standard 'scientific' functions available for use for all papers in the examination.
Combining this with other syllabuses
Candidates can combine this syllabus in an examination session with any other CIE syllabus. This syllabus is available to private candidates. except: • syllabuses with the same title at the same level
Cambridge International A & AS Level Mathematics 9709. Computers. Examination in June and November 2012. the subject content for different units does not overlap. Assessment at a glance
Question papers
There is no choice of questions in any of the question papers and questions will be arranged approximately in order of increasing mark allocations. and the later unit in each subject area may not be used for certification unless the corresponding earlier unit is being (or has already been) used.
• •
3.
8
. particularly those which will enable them to use applications of mathematics in the context of everyday situations and of other subjects they may be studying. acquire the mathematical background necessary for further study in this or related subjects. The aims are to enable candidates to: • • • • develop their mathematical knowledge and skills in a way which encourages confidence and provides satisfaction and enjoyment. identify and interpret relevant factors and. Examination in June and November 2012. recognise the appropriate mathematical procedure for a given situation. The aims are not listed in order of priority. where necessary. present mathematical work. use mathematics as a means of communication with emphasis on the use of clear expression. and communicate conclusions. Syllabus aims and objectives
3. select an appropriate mathematical method to solve the problem.3.1 Aims
The aims of the syllabus are the same for all students. develop the ability to analyse problems logically. in a clear and logical way. acquire a range of mathematical skills. The examination will test the ability of candidates to: • • • • • understand relevant mathematical concepts.2 Assessment objectives
The abilities assessed in the examinations cover a single area: technique with application. These are set out below and describe the educational purposes of any course based on the Mathematics units for the AS and A Level examinations. apply combinations of mathematical skills and techniques in solving problems. terminology and notation. recall accurately and use successfully appropriate manipulative techniques.
Cambridge International A & AS Level Mathematics 9709. recognise when and how a situation may be represented mathematically. develop an understanding of mathematical principles and an appreciation of mathematics as a logical and coherent subject.
to locate the vertex of the graph of y = ax 2 + bx + c or to sketch the graph. Curriculum content
The mathematical content for each unit in the scheme is detailed below. find the discriminant of a quadratic polynomial ax 2 + bx + c and use the discriminant. Individual questions set may involve ideas and methods from more than one section of the relevant content list.g. knowledge of the content of O Level/IGCSE Mathematics is assumed.g. For all units. domain. Unit P1: Pure Mathematics 1 (Paper 1) Candidates should be able to: 1. range. As well as demonstrating skill in the appropriate techniques. e. and find the inverse of a one-one function in simple cases. recognise and solve equations in x which are quadratic in some function of x. solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic.4. understand the terms function. e. in one unknown.g. candidates will be expected to apply their knowledge in the solution of problems. solve quadratic equations. one-one function. Quadratics • carry out the process of completing the square for a quadratic polynomial ax 2 + bx + c. inverse function and composition of functions. 5 m s–1 for 5 metres per second.
•
• • •
2. The order in which topics are listed is not intended to imply anything about the order in which they might be taught. Candidates will be expected to be familiar with scientific notation for the expression of compound units. and find the composition of two given functions. illustrate in graphical terms the relation between a one-one function and its inverse.g. Functions
• • • •
Cambridge International A & AS Level Mathematics 9709. and use this form. determine whether or not a given function is one-one. e. and linear and quadratic inequalities. e. identify the range of a given function in simple cases. Examination in June and November 2012.
9
. x 4 – 5x 2 + 4 = 0. to determine the number of real roots of the equation ax 2 + bx + c = 0.
tan x to denote the principal values of the inverse trigonometric relations.4. Examination in June and November 2012. cos x. cosine and tangent functions (for angles of any size. use the formulae s = r θ and A = 2 r 2θ in solving problems concerning the arc length and sector area of a circle. Trigonometry
• • • • •
sketch and use graphs of the sine. Coordinate geometry
• • • • •
find the length. find the equation of a straight line given sufficient information (e.
use the notations sin x. Circular measure
• •
5. or one point on it and its gradient). and using either degrees or radians). and use the relationship between radians and degrees. and related angles. cos 150° = – 2
−1 −1 −1
1
3.g.
10
. use the identities sin θ ≡ tan θ and sin2 θ + cos2 θ ≡ 1.g. and use the relationship between points of intersection of graphs and solutions of equations (including.
1
4.
Cambridge International A & AS Level Mathematics 9709. gradient and mid-point of a line segment. 45°. particularly the forms y = mx + c and y – y1 = m(x – x1). the coordinates of two points on it. understand the relationship between a graph and its associated algebraic equation. use the exact values of the sine. interpret and use linear equations. in simple cases. understand the definition of a radian. given the coordinates of the end-points. understand and use the relationships between the gradients of parallel and perpendicular lines. 60°. Curriculum content
3. the correspondence between a line being tangent to a curve and a repeated root of an equation). cos θ
find all the solutions of simple trigonometrical equations lying in a specified interval (general forms of solution are not included). e. cosine and tangent of 30°.
tangents and normals. Vectors
• • • • •
x use standard notations for vectors. understand the idea of the gradient of a curve.e. Differentiation
•
dy dx
and
dy dx
2
2
(the technique of differentiation from first
principles is not required). and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required.4. locate stationary points. and use the notations f'(x). displacement vectors and position vectors. and interpret these operations in geometrical terms. r
7.
x y . xi + yj + zk. Series
•
• • •
recognise arithmetic and geometric progressions. use the formulae for the nth term and for the sum of the first n terms to solve problems involving arithmetic or geometric progressions. but identification of points of inflexion is not included). y AB . differences of functions. apply differentiation to gradients. and of composite functions using the chain rule. use the scalar product to determine the angle between two directions and to solve problems concerning perpendicularity of vectors. use unit vectors.
•
•
Cambridge International A & AS Level Mathematics 9709. . Examination in June and November 2012. a. and the formula for the sum to infinity of a convergent geometric progression. but the notations and n! should be known). sums. f''(x). • use the derivative of xn (for any rational n). Curriculum content
6. where n is a positive integer (knowledge of the greatest term and properties of the coefficients are not
n required. z
carry out addition and subtraction of vectors and multiplication of a vector by a scalar. i. xi + yj.
11
. use the expansion of (a + b)n .
8. use the condition for the convergence of a geometric progression. together with constant multiples. calculate the magnitude of a vector and the scalar product of two vectors. increasing and decreasing functions and rates of change (including connected rates of change).
a volume of revolution about one of the axes.
Cambridge International A & AS Level Mathematics 9709. –2) for which dy = 2x + 1. together with constant multiples. Examination in June and November 2012.
12
. or between two curves.4. Curriculum content
9. sums and differences. such as
•
•
∫
1 0
x
−
1 2
dx and
∫
∞ −2 1
x dx ). solve problems involving the evaluation of a constant of integration. and integrate (ax + b)n (for any rational n except –1). dx evaluate definite integrals (including simple cases of 'improper' integrals.g. to find the equation of the curve through (1. e.
•
use definite integration to find the area of a region bounded by a curve and lines parallel to the axes. Integration
•
understand integration as the reverse process of differentiation.
including their relationship as inverse functions and their graphs. and select an identity or identities appropriate to the context. solve polynomial equations or evaluate unknown coefficients. understand the relationship between logarithms and indices. divide a polynomial. understand the relationship of the secant.4. understand the definition and properties of ex and In x. Candidates should be able to: 1. and candidates may be required to demonstrate such knowledge in answering questions. the expressions of a sin θ + b cos θ in the forms R sin(θ ± α) and R cos(θ ± α)
•
•
2. use logarithms to solve equations of the form ax = b. and hence determine unknown constants by considering the gradient and/ or intercept. to find factors. Logarithmic and exponential functions
• • • •
3. use logarithms to transform a given relationship to linear form. of degree not exceeding 4. and use the laws of logarithms (excluding change of base).
13
. Examination in June and November 2012. Curriculum content
Unit P2: Pure Mathematics 2 (Paper 2) Knowledge of the content of unit P1 is assumed. e. Algebra • understand the meaning of x. cos 2A and tan 2A. by a linear or quadratic polynomial. and use properties and graphs of all six trigonometric functions for angles of any magnitude. use trigonometrical identities for the simplification and exact evaluation of expressions and in the course of solving equations. Trigonometry
•
•
Cambridge International A & AS Level Mathematics 9709. cos(A ± B) and tan(A ± B).g sine and tangent. and similar inequalities. the expansions of sin(A ± B). and identify the quotient and remainder (which may be zero). showing familiarity in particular with the use of sec2 θ ≡ 1 + tan2 θ and cosec2 θ ≡ 1 + cot2 θ . use the factor theorem and the remainder theorem. the formulae for sin 2A. cosecant and cotangent functions to cosine.
understand how a given simple iterative formula of the form xn + 1 = F(xn) relates to the equation being solved. and use the notation for.
14
.4. use the trapezium rule to estimate the value of a definite integral. Examination in June and November 2012. find and use the first derivative of a function which is defined parametrically or implicitly. In x. and use a given iteration. sin x. a sequence of approximations which converges to a root of an equation.
5. . together with constant multiples. Numerical solution of equations
• • •
Cambridge International A & AS Level Mathematics 9709. but candidates should understand that an iteration may fail to converge). extend the idea of 'reverse differentiation' to include the integration of 1 eax+b. or an iteration based on a given rearrangement of an equation. sin(ax + b). understand the idea of. Differentiation
• • •
use the derivatives of ex. differentiate products and quotients. to determine a root to a prescribed degree of accuracy (knowledge of the condition for convergence is not included. use trigonometrical relationships (such as double-angle formulae) to facilitate the integration of functions such as cos2 x. locate approximately a root of an equation. differences and composites. cos x. cos(ax + b) and sec2 (ax + b) (knowledge of ax + b the general method of integration by substitution is not required). by means of graphical considerations and/or searching for a sign change. tan x. Integration
•
• •
6. sums. Curriculum content
4. and use sketch graphs in simple cases to determine whether the trapezium rule gives an over-estimate or an under-estimate.
Algebra • understand the meaning of |x|.
1
•
• •
Cambridge International A & AS Level Mathematics 9709.g. e. use logarithms to solve equations of the form ax = b. and candidates may be required to demonstrate such knowledge in answering questions. and similar inequalities. understand the definition and properties of ex and In x. and use the laws of logarithms (excluding change of base). and identify the quotient and remainder (which may be zero). divide a polynomial. by a linear or quadratic polynomial. • use the expansion of (1 + x)n. of degree not exceeding 4. including their relationship as inverse functions and their graphs. 2. where n is a rational number and |x|<1 (finding a general term is not included. Logarithmic and exponential functions • • • • understand the relationship between logarithms and indices. use the factor theorem and the remainder theorem.
15
. Curriculum content
Unit P3: Pure Mathematics 3 (Paper 3) Knowledge of the content of unit P1 is assumed. Candidates should be able to: 1. and hence determine unknown constants by considering the gradient and/ or intercept. use logarithms to transform a given relationship to linear form. (ax + b)(cx + d) 2. recall an appropriate form for expressing rational functions in partial fractions.4 (2 – 2 x)–1 is included). but adapting the standard series to expand e.g. and carry out the decomposition. and where the degree of the numerator does not exceed that of the denominator. solve polynomial equations or evaluate unknown coefficients. in cases where the denominator is no more complicated than (ax + b)(cx + d)(ex + f). Examination in June and November 2012. to find factors. (ax + b)(x2 + c2).
•
4. In x. Curriculum content
3. showing familiarity in particular with the use of sec2 θ ≡ 1 + tan2 θ and cosec2 θ ≡ 1 + cot2 θ . sin(ax + b). together with constant multiples. Trigonometry
•
understand the relationship of the secant. the expansions of sin(A ± B). cos 2A and tan 2A. tan x. x2 ex or In x . sin x. cos x. use a given substitution to simplify and evaluate either a definite or an indefinite integral. Examination in June and November 2012. 2 x +1 recognise when an integrand can usefully be regarded as a product. differentiate products and quotients. Integration
•
• •
•
•
• •
Cambridge International A & AS Level Mathematics 9709.4. sine and tangent. for example. extend the idea of 'reverse differentiation' to include the integration of 1 eax+b. and integrate. and use sketch graphs in simple cases to determine whether the trapezium rule gives an over-estimate or an under-estimate.
16
. sums. cos(ax + b) and sec2(ax + b). and use integration by parts to integrate. . cos(A ± B) and tan(A ± B). f( x ) x or tan x . ax + b use trigonometrical relationships (such as double-angle formulae) to facilitate the integration of functions such as cos2 x . Differentiation
• • •
use the derivatives of ex. the expressions of a sin θ + b cos θ in the forms R sin(θ ± α) and R cos(θ ± α). x sin 2x.
5. the formulae for sin 2A. integrate rational functions by means of decomposition into partial fractions (restricted to the types of partial fractions specified in paragraph 1 above). find and use the first derivative of a function which is defined parametrically or implicitly. use the trapezium rule to estimate the value of a definite integral. kf′( x ) recognise an integrand of the form . use trigonometrical identities for the simplification and exact evaluation of expressions and in the course of solving equations. and select an identity or identities appropriate to the context. cosecant and cotangent functions to cosine. for example. differences and composites. and use properties and graphs of all six trigonometric functions for angles of any magnitude.
or an iteration based on a given rearrangement of an equation. find the angle between two lines.n = 0 . to determine a root to a prescribed degree of accuracy (knowledge of the condition for convergence is not included. determine whether two lines are parallel. understand the significance of all the symbols used when the equation of a straight line is expressed in the form r = a + tb. and in particular find the equation of a line or a plane. Curriculum content
6. and the angle between a line and a plane. Vectors
• • • •
•
Cambridge International A & AS Level Mathematics 9709. understand the idea of. and use a given iteration. given sufficient information. and use the notation for.
17
.4. but candidates should understand that an iteration may fail to converge). and find the point of intersection of a line and a plane when it exists. find the angle between two planes. Numerical solution of equations
• • •
locate approximately a root of an equation. understand how a given simple iterative formula of the form xn + 1 = F(xn) relates to the equation being solved. angles and intersections. by means of graphical considerations and/or searching for a sign change. find the line of intersection of two non-parallel planes. understand the significance of all the symbols used when the equation of a plane is expressed in either of the forms ax + by + cz = d or (r – a). determine whether a line lies in a plane. or intersects a plane. a sequence of approximations which converges to a root of an equation. Examination in June and November 2012. and the point of intersection of two lines when it exists.
7. find the perpendicular distance from a point to a plane. is parallel to a plane. use equations of lines and planes to solve problems concerning distances. and from a point to a line. intersect or are skew.
any non-real roots occur in conjugate pairs. understand the idea of a complex number. Curriculum content
8. z – a < k. Examination in June and November 2012. e. use the result that. recall the meaning of the terms real part. use an initial condition to find a particular solution. Complex numbers
•
• • • • • •
•
Cambridge International A & AS Level Mathematics 9709. argument. arg(z – a) = α. and use the fact that two complex numbers are equal if and only if both real and imaginary parts are equal. subtracting. modulus. multiplying and dividing two complex numbers. find by integration a general form of solution for a first order differential equation in which the variables are separable. represent complex numbers geometrically by means of an Argand diagram. imaginary part. conjugate. interpret the solution of a differential equation in the context of a problem being modelled by the equation. carry out operations of multiplication and division of two complex numbers expressed in polar form r (cos θ + i sin θ) ≡ r ei θ . understand in simple terms the geometrical effects of conjugating a complex number and of adding. find the two square roots of a complex number.
• • •
9.g.4. for a polynomial equation with real coefficients.
18
. z – a = z – b . multiplication and division of two complex numbers expressed in cartesian form x + iy . subtraction. Differential equations
•
formulate a simple statement involving a rate of change as a differential equation. illustrate simple equations and inequalities involving complex numbers by means of loci in an Argand diagram. carry out operations of addition. including the introduction if necessary of a constant of proportionality.
Examination in June and November 2012. In the following content list.
•
• •
•
Cambridge International A & AS Level Mathematics 9709. or equivalently. it is to be understood that any such bodies are to be treated as particles for the purposes of the question. understand the vector nature of force. as appropriate. and will aim to test mechanical principles without involving difficult algebra or trigonometry. and find and use components and resultants. sin2 θ + cos2 θ ≡ 1. but candidates may use vector methods in their solutions if they wish. use Newton's third law. understand that a contact force between two surfaces can be represented by two components.
19
. However. the normal component and the frictional component. the vector sum of the forces acting is zero. that the sum of the components in any direction is zero. use the model of a 'smooth' contact. however. when a particle is in equilibrium. recall the definition of coefficient of friction. and use the relationship F = μR or F ≤ μR. and understand the limitations of this model. reference to the equilibrium or motion of a 'particle' is not intended to exclude questions that involve extended bodies in a 'realistic' context. tan θ ≡ .4. use the principle that. cos(90° – θ) ≡ sin θ . Forces and equilibrium • • • identify the forces acting in a given situation. candidates should be familiar in particular with the following sin θ trigonometrical results: sin(90° – θ) ≡ cos θ . understand the concepts of limiting friction and limiting equilibrium. Curriculum content
Unit M1: Mechanics 1 (Paper 4) Questions set will be mainly numerical. Unit M1: Mechanics 1 (Paper 4) Candidates should be able to: 1. cos θ Vector notation will not be used in the question papers.
solve simple problems which may be modelled as the motion of two particles. sketch and interpret displacement-time graphs and velocity-time graphs. and use the relationship between power. use appropriate formulae for motion with constant acceleration in a straight line. understand the concepts of gravitational potential energy and kinetic energy. velocity and acceleration as vector quantities (in one dimension only).
•
•
use differentiation and integration with respect to time to solve simple problems concerning displacement. understand and use the relationship between the change in energy of a system and the work done by the external forces. use the definition of power as the rate at which a force does work. Examination in June and November 2012. and use appropriate formulae. the instantaneous acceleration of a car moving on a hill with resistance. connected by a light inextensible string which may pass over a fixed smooth peg or light pulley.
20
. Kinematics of motion in a straight line
•
understand the concepts of distance and speed as scalar quantities. solve problems involving. apply Newton's laws of motion to the linear motion of a particle of constant mass moving under the action of constant forces. the gradient of a velocity-time graph represents acceleration. velocity and acceleration (restricted to calculus within the scope of unit P1).4. work and power
•
• •
•
•
Cambridge International A & AS Level Mathematics 9709. use the relationship between mass and weight. and use in appropriate cases the principle of conservation of energy. force and velocity for a force acting in the direction of motion. solve simple problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration. and calculate the work done by a constant force when its point of application undergoes a displacement not necessarily parallel to the force (use of the scalar product is not required). for example. Newton's laws of motion
•
• •
•
4. understand the concept of the work done by a force. and of displacement. Curriculum content
2. Energy. and in particular appreciate that the area under a velocity-time graph represents displacement.
•
3. the gradient of a displacement-time graph represents velocity. which may include friction.
use the result that the effect of gravity on a rigid body is equivalent to a single force acting at the centre of mass of the body. the range on a horizontal plane and the greatest height reached. use the principle that if a rigid body is in equilibrium under the action of coplanar forces then the vector sum of the forces is zero and the sum of the moments of the forces about any point is zero. determine the position of the centre of mass of a composite body by considering an equivalent system of particles (in simple cases only. Equilibrium of a rigid body
•
•
• •
•
•
Cambridge International A & AS Level Mathematics 9709. Candidates should be able to: 1. including finding the magnitude and direction of the velocity at a given time of position. e. use given information about the position of the centre of mass of a triangular lamina and other simple shapes. calculate the moment of a force about a point. including those involving toppling or sliding (problems set will not involve complicated trigonometry). and identify the position of the centre of mass of a uniform body using considerations of symmetry. and candidates may be required to demonstrate such knowledge in answering questions. including problems in which the initial speed and/or angle of projection may be unknown. derive and use the cartesian equations of the trajectory of a projectile. solve problems involving the equilibrium of a single rigid body under the action of coplanar forces.
•
2. Curriculum content
Unit M2: Mechanics 2 (Paper 5) Knowledge of the content of unit M1 is assumed. and the converse of this. in two dimensional situations only (understanding of the vector nature of moments is not required).g. a uniform L-shaped lamina). Examination in June and November 2012. Motion of a projectile • • model the motion of a projectile as a particle moving with constant acceleration and understand any limitations of the model.
21
.4. use horizontal and vertical equations of motion to solve problems on the motion of projectiles.
including those where considerations of work and energy are needed.4. and use the relation v = rω .
Cambridge International A & AS Level Mathematics 9709. and dv dt or v dv dx for acceleration. Examination in June and November 2012. Curriculum content
3.
•
solve problems which can be modelled by the motion of a particle moving in a horizontal circle with constant speed.
4. solve problems involving forces due to elastic strings or springs.
22
. by setting up and solving an appropriate differential equation (restricted to equations in which the variables are separable). Hooke's law
•
• •
5. understand that the acceleration of a particle moving in a circle with constant speed is directed towards the centre of the circle. use the formula for the elastic potential energy stored in a string or spring. use dx dt for velocity. Linear motion under a variable force
• •
solve problems which can be modelled as the linear motion of a particle under the action of a variable force. use Hooke's law as a model relating the force in an elastic string or spring to the extension or compression. Uniform motion in a circle
• •
understand the concept of angular speed for a particle moving in a circle. as appropriate. and understand the term modulus of elasticity. and use the formulae rω2 and v
2
r
.
calculate the mean and standard deviation of a set of data (including grouped data) either from the data itself or from given totals such as Σx and Σx and Σx2. restriction (e. understand the meaning of exclusive and independent events. and solve simple problems involving selections. construct and interpret stem-and-leaf diagrams. as appropriate.g. Representation of data • select a suitable way of presenting raw statistical data. or Σ(x – a) and Σ(x – a)2. situations that can be represented by means of a tree diagram. e. and discuss advantages and/or disadvantages that particular representations may have.4. e. and calculate and use conditional probabilities in simple cases. use addition and multiplication of probabilities. understand and use different measures of central tendency (mean. the quartiles and the interquartile range of a set of data. interquartile range.g.g. box-and-whisker plots. the number of ways of arranging the letters of the word 'NEEDLESS'). use a cumulative frequency graph to estimate the median value. Probability • evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events (e. Examination in June and November 2012. understand the terms permutation and combination.
23
. for the total score when two fair dice are thrown). the number of ways several people can stand in a line if 2 particular people must — or must not — stand next to each other).g.g. mode) and variation (range. Permutations and combinations
• •
• •
Cambridge International A & AS Level Mathematics 9709. including those involving: repetition (e. solve problems about arrangements of objects in a line.
• •
• •
2. median. standard deviation). in simple cases. or by calculation using permutations or combinations. Curriculum content
Unit S1: Probability & Statistics 1 (Paper 6) Candidates should be able to: 1. in comparing and contrasting sets of data. histograms and cumulative frequency graphs. 3.
Curriculum content
4. given the values of x1. and recognise practical situations where the binomial distribution is a suitable model (the notation B(n. Discrete random variables
•
construct a probability distribution table relating to a given situation involving a discrete random variable variable X. and calculate E(X) and Var(X). σ 2). The normal distribution
• •
•
recall conditions under which the normal distribution can be used as an approximation to the binomial distribution (n large enough to ensure that np > 5 and nq > 5).4.
24
. use formulae for the expectation and variance of the binomial distribution. p) is included). or a related probability. and use normal distribution tables. Examination in June and November 2012.
Cambridge International A & AS Level Mathematics 9709. with a continuity correction. in solving problems. and use this approximation. where X ~ N( μ. finding a relationship between x1.
•
•
5. σ . including finding the value of P(X > x1). μ. μ and σ given the value of P(X > x1) or a related probability. understand the use of a normal distribution to model a continuous random variable. use formulae for probabilities for the binomial distribution. solve problems concerning a variable X.
but location of the median. use the fact that if X ~ Po( μ) then the mean and variance of X are each equal to μ .4. the results that E(aX + b) = aE(X) + b and Var(aX + b) = a2Var(X) .
2. for example. if X and Y have independent Poisson distributions then X + Y has a Poisson distribution. use the Poisson distribution as an approximation to the binomial distribution where appropriate (n > 50 and np < 5. if X and Y have independent normal distributions then aX + bY has a normal distribution. in the course of solving problems. and to calculate the mean and variance of a distribution (explicit knowledge of the cumulative distribution function is not included.
25
. use the normal distribution. with continuity correction. Continuous random variables • understand the concept of a continuous random variable. understand the relevance of the Poisson distribution to the distribution of random events. as an approximation to the Poisson distribution where appropriate ( μ > 15. E(aX + bY) = aE(X) + bE(Y). 3. approximately). and recall and use properties of a probability density function (restricted to functions defined over a single interval). use. in simple cases by direct consideration of an area may be required). and candidates may be required to demonstrate such knowledge in answering questions. The Poisson distribution • • • • • calculate probabilities for the distribution Po( μ) . Linear combinations of random variables
•
•
Cambridge International A & AS Level Mathematics 9709. Candidates should be able to: 1. Curriculum content
Unit S2: Probability & Statistics 2 (Paper 7) Knowledge of the content of unit S1 is assumed. and use the Poisson distribution as a model. if X has a normal distribution then so does aX + b . use a probability density function to solve problems involving probabilities. Examination in June and November 2012. Var(aX + bY) = a2Var(X) + b2Var(Y) for independent X and Y. approximately).
4. an approximate confidence interval for a population proportion. as appropriate. understand the nature of a hypothesis test.
26
. rejection region (or critical region). formulate hypotheses and carry out a hypothesis test concerning the population mean in cases where the population is normally distributed with known variance or where a large sample is used. significance level. acceptance region and test statistic. calculate unbiased estimates of the population mean and variance from a sample. alternative hypothesis. is not required. Curriculum content
4. determine a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used. and appreciate the necessity for randomness in choosing samples.
n
• • •
use the fact that X has a normal distribution if X has a normal distribution. the difference between one-tail and two-tail tests. explain in simple terms why a given sampling method may be unsatisfactory (knowledge of particular sampling methods. formulate hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution. and use the facts that E( X ) = μ and that Var X =
•
σ2 . Examination in June and November 2012. using either raw or summarised data (only a simple understanding of the term 'unbiased' is required). using either direct evaluation of probabilities or a normal approximation. such as quota or stratified sampling. calculate the probabilities of making Type I and Type II errors in specific situations involving tests based on a normal distribution or direct evaluation of binomial or Poisson probabilities. but candidates should have an elementary understanding of the use of random numbers in producing random samples).
•
•
5. determine. from a large sample. Hypothesis tests
•
•
•
• •
Cambridge International A & AS Level Mathematics 9709. Sampling and estimation
• •
understand the distinction between a sample and a population. and the terms null hypothesis. understand the terms Type I error and Type II error in relation to hypothesis tests. recognise that a sample mean can be regarded as a random variable. use the Central Limit theorem where appropriate.
1. 2.
Examinations for the syllabus in this booklet may use relevant notation from the following list. n − 1} the set of rational numbers. …} the set of integers. A × B = {(a. {0. b] [a. ± 3. y the cartesian product of sets A. b) : a ∈ A. b) yRx y~x
y is related to x by the relation R y is equivalent to x.e. ± 1. {0. b) (a. {1. i. b ∈ B} is a subset of is a proper subset of union intersection the closed interval {x ∈ » : a ≤ x ≤ b} the interval {x ∈ » : a ≤ x < b} the interval {x ∈ » : a < x ≤ b} the open interval {x ∈ » : a < x < b}
p q
»= »
+
»n
»= »+ »+ 0
»= »
+
»+ 0 »= (x. x2… the set of all x such that … the number of elements in set A the empty set the universal set the complement of the set A the set of natural numbers. x2. y) A×B ⊆ ⊂ ∪ ∩
[a. {x ∈ » : x > 0} set of positive rational numbers and zero. 3. in the context of some equivalence relation
Cambridge International A & AS Level Mathematics 9709. 3.….7 Mathematical notation .…} {x : …} n(A)
∅ A′ »=
is an element of is not an element of the set with elements x1. {1. Examination in June and November 2012. {x ∈ » : x ≥ 0} the set of complex numbers the ordered pair x. and B. : p∈ ». 2. 2.…} the set of integers modulo n. {x ∈ » : x ≥ 0} the set of real numbers the set of positive real numbers. q∈ » + } the set of positive rational numbers.
1
Set Notation
∈ ∉
{x1.
36
. {x ∈ » : x > 0} the set of positive real numbers and zero.. b] (a.…} the set of positive integers. ± 2.
7 Mathematical notation ..
the binomial coefficient or
n! for n ∈ »+ r!(n − r )!
n(n − 1). + an
∑a
i =1
n i =1
n
i
∏a
a
|a| n! n r
i
a1 × a2 × . a.. ab..b a a ÷ b..
n factorial
the modulus of a... × an
the positive square root of a.(n − r + 1) for n ∈ » r!
Cambridge International A & AS Level Mathematics 9709. Examination in June and November 2012. . is not greater than is greater than is greater than or equal to. is not less than infinity p and q p or q (or both) not p p implies q (if p then q) p is implied by q (if q then p) p implies and is implied by q (p is equivalent to q) there exists for all
3
Operations
a+b a–b a × b.
37
.
2
Miscellaneous Symbols
= ≠ ≡ ≈ ≅ ∝ < ≤ > ≥ ∞ p∧q p∨q ~p
p⇒q p⇐q p⇔q
∃ ∀
is equal to is not equal to is identical to or is congruent to is approximately equal to is isomorphic to is proportional to is less than is less than or equal to. a/b b
a plus b a minus b a multiplied by b a divided by b
a1 + a2 + .
AB
a.a
the vector a the vector represented in magnitude and direction by the directed line segment a unit vector in the direction of a unit vectors in the directions of the cartesian coordinate axes the magnitude of a the magnitude of AB the scalar product of a and b the vector product of a and b
AB
AB . arg z = θ.b a×b
Cambridge International A & AS Level Mathematics 9709. Examination in June and November 2012. Re z = x the imaginary part of z. x – i y
M M–1 MT det M or |M|
9 Vectors
a matrix M the inverse of the matrix M the transpose of the matrix M the determinant of the square matrix M
a AB
ˆ a i.7 Mathematical notation . Im z = y the modulus of z. |z| =
x2 + y2
the argument of z.
7
Complex Numbers
i z Re z Im z |z| arg z z*
8 Matrices
square root of –1 a complex number. – π < θ ≤ π the complex conjugate of z.
39
. k a. z = x + iy = r(cos θ + i sin θ) the real part of z. j.
and the number of hours required may vary according to local curricular practice and the candidates' prior experience of the subject.4 Component codes
Because of local variations.
Cambridge International A & AS Level Mathematics 9709.3 Progression
Cambridge International A Level Mathematics provides a suitable foundation for the study of Mathematics or related courses in higher education. but the component names will be unchanged to make identification straightforward.) However.
41
.2 Recommended prior learning
We recommend that candidates who are beginning this course should have previously completed an O Level or IGCSE course in Mathematics or the equivalent. these figures are for guidance only.
8.
8.
8.8. They do not include private study by the candidate. Cambridge International AS Level Mathematics constitutes the first half of the Cambridge International A Level course in Mathematics and therefore provides a suitable foundation for the study of Mathematics at A Level and thence for related courses in higher education. ('Guided learning hours' include direct teaching and any other supervised or directed study time. Advanced Subsidiary Level ('AS Level') syllabuses are designed on the assumption that candidates have about 180 guided learning hours per subject over the duration of the course.1 Guided learning hours
Advanced Level ('A Level') syllabuses are designed on the assumption that candidates have about 360 guided learning hours per subject over the duration of the course. Additional information
8. in some cases component codes will be different in instructions about making entries for examinations and timetables from those printed in this syllabus. Examination in June and November 2012.
B. A. … the minimum mark necessary for a Grade D obtains a percentage uniform mark of 50%. They are determined in this way: • A candidate who obtains… … the minimum mark necessary for a Grade A* obtains a percentage uniform mark of 90%. Examination in June and November 2012. 'Ungraded' will be reported on the statement of results but not on the certificate.
42
.
Cambridge International A & AS Level Mathematics 9709. a candidate whose mark is halfway between the minimum for a Grade C and the minimum for a Grade D (and whose grade is therefore D) receives a percentage uniform mark of 55%. 'Ungraded' indicates that the candidate has failed to reach the standard required for a pass at either A Level or AS Level. … the minimum mark necessary for a Grade C obtains a percentage uniform mark of 60%. C. Candidates whose mark is none of the above receive a percentage mark in between those stated according to the position of their mark in relation to the grade 'thresholds' (i. … the minimum mark necessary for a Grade E obtains a percentage uniform mark of 40%. Additional information
8. D or E indicating the standard achieved. For example.e. It is not the same as the 'raw' mark obtained by the candidate.
Percentage uniform marks are also provided on each candidate's Statement of Results to supplement their grade for a syllabus. the minimum mark for obtaining a grade). since it depends on the position of the grade thresholds (which may vary from one session to another and from one subject to another) and it has been turned into a percentage. Grade A* being the highest and Grade E the lowest. … the minimum mark necessary for a Grade B obtains a percentage uniform mark of 70%. If a candidate takes an A Level and fails to achieve grade E or higher. … no marks receives a percentage uniform mark of 0%. an AS Level grade will be awarded if both of the following apply: • • the components taken for the A Level by the candidate in that session included all the components making up an AS Level the candidate's performance on these components was sufficient to merit the award of an AS Level grade.5 Grading and reporting
A Level results are shown by one of the grades A*. The uniform percentage mark is stated at syllabus level only. … the minimum mark necessary for a Grade A obtains a percentage uniform mark of 80%.8.
org. Percentage uniform marks are also provided on each candidate's Statement of Results to supplement their grade for a syllabus. suggested schemes of work and regularly updated resource lists may be found on the CIE Teacher Support website at d or e indicating the standard achieved. Examination in June and November 2012. Please visit this site on a regular basis as the Resource lists are updated through the year.
8. Additional information
AS Level results are shown by one of the grades a. The uniform percentage mark is stated at syllabus level only. Access to teachers' email discussion groups. which is sent to all CIE Centres. … the minimum mark necessary for a Grade e obtains a percentage uniform mark of 40%.cie. Resources are also listed on CIE's public website at www. … the minimum mark necessary for a Grade b obtains a percentage uniform mark of 70%.8. … the minimum mark necessary for a Grade d obtains a percentage uniform mark of 50%.cie. This website is available to teachers at registered CIE Centres. They are determined in this way: • A candidate who obtains… … the minimum mark necessary for a Grade a obtains a percentage uniform mark of 80%. … no marks receives a percentage uniform mark of 0%. a candidate whose mark is halfway between the minimum for a Grade c and the minimum for a Grade d (and whose grade is therefore d) receives a percentage uniform mark of 55%. Candidates whose mark is none of the above receive a percentage mark in between those stated according to the position of their mark in relation to the grade 'thresholds' (i. since it depends on the position of the grade thresholds (which may vary from one session to another and from one subject to another) and it has been turned into a percentage. the most recent question papers and Principal Examiners' reports are available on the Syllabus and Support Materials CD-ROM.org.uk. c.
43
. b. Grade a being the highest and Grade e the lowest.
Cambridge International A & AS Level Mathematics 9709. the minimum mark for obtaining a grade). For example. … the minimum mark necessary for a Grade c obtains a percentage uniform mark of 60%. 'Ungraded' indicates that the candidate has failed to reach the standard required for a pass at AS Level. It is not the same as the 'raw' mark obtained by the candidate. 'Ungraded' will be reported on the statement of results but not on the certificate.uk. The content and difficulty of an AS Level examination is equivalent to the first half of a corresponding A Level.e.6 Resources
Copies of syllabuses. | 677.169 | 1 |
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Functional Trigonometry
Best of all, all these helpful services are free. SOH stands for Sine of Angle, Opposite, Hypotenuse. "This course is taught so that students will acquire a solid foundation in algebra. This will present you with another menu in which you can select the specific page you wish to download pdfs for. Common Core excludes certain Algebra II and Geometry content that is a prerequisite at almost every four-year college. 3.
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ISBN: B000H4FU1S
Algebra and Trigonometry
OB represents the length of the shadow of the pyramid, and BC that of the stick. Then he said The height of the pyramid is to the length of the stick, as the length of the shadow of the pyramid is to the length of the shadow of the stick.' Then OB, AB, and BC being known we can find PO Trigonometry: Mathspace. Math sover pre algebra, different methods of how to write and solve equations 5th, practice equation solving ks3, grade 7 integers adding and subtracting worksheet, dotted line calculator ti 84, maple solve linear system download Functional Trigonometry pdf. Here you can share ideas, discuss books, maybe even suggest books, talk about the latest advances in the fields of science and math, and talk about our current book reads. The Mathematics placement assessment will help you and your advisor determine the right Mathematics course for you. The assessment will take approximately 90 minutes to complete. After the assessment, a targeted Prep and Learning Module is available for you to review and learn material, and to improve placement and eventual course outcomes Plane trigonometry together with logarithmic and trigonometric tables. A dice roller for the iPhone, iPod touch and iPad. iRollDice supports 6 type of dice: D10 rolls numbers 0 to 9. iRollDice also supports shake to roll, and has an accompanying table which displays the results of the last few dice rolls. iRollDice now also features a button to clear the table Plane Trigonometry and Applications Includes Answers to Examples. Equally important are the Standards for Mathematical Practice, describing the behaviors or 'habits of mind' of mathematically proficient students. We welcome all to join us in our journey of continuous improvement for the students of North Carolina. The name is enough to describe the intelligence, success and personality of the person Elements of plane and spherical trigonometry (Vol-1): with their applications to mensuration, surveying, and navigation. Then this integral that I'm trying to do is the integral of u^n, that's already a simplification. When you make a substitution, you've got to go all the way and replace everything in the expression by things involving this new variable that I've introduced Algebra & Trigonometry with Analytic Geometry (Classic Edition), 11th (eleventh) Edition.
Be aware, that it is probably more useful to people who already have a knowledge of the subjects. It deserves its reputation as a work of genius, but in gneral I would not recommend it to someone just beginning to learn physics. Feynman, Richard, Robert Leighton and Matthew Sands. A-W. 1964. 0201500647 There are many fine one volume summaries of physics aimed at an audience with some knowledge of mathematics Elements of Geometry and Trigonometry: With Applications in Mensuration. Sum of AB and AC, which is equal to BD shall give the height of the tree. Question: 3 - A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30° to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of 60° to the ground A brief course in trigonometry, by David Raymond Curtiss and Elton James Moulton Numeric reasoning Trigonometry (with CD-ROM, BCA/iLrn(TM) Tutorial, Personal Tutor, and InfoTrac) (Available Titles CengageNOW).
College algebra
A treatise on trigonometry. By Profs. Oliver, Wait and Jones.
College Algebra and Trigonometry
Euclid's Elements of Geometry, From the Latin Translation of Commandine. To Which Is Added, a Treatise of the Nature and Arithmetic of Logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry
The Algebra of Coplanar Vectors and Trigonometry
Trigonometry (Addison-Wesley mathematics series)
Trigonometry & Mymathlab Student Pkg
Algebra and Trigonometry Second Custom Edition for University at Buffalo
Elements of Geometry, Plane and Spherical Trigonometry, and Conic Sections
Pre-Calculus: Grades 6 and up
Plane Trigonometry: With Tables...
Furthermore, these laws yield two possible solutions in the ambiguous case, illustrating that Side-Side-Angle is not a congruence criterion. Students can use trigonometry to enrich their mind and expand there thinking, but more practically trigonometry can be used in surveying, engineering problems, heights of building or trees, stock market trends, or maybe business cycles A Treatise On Plane and Spherical Trigonometry, and On Trigonometrical Tables and Logarithms, Together with a Selection of Problems and Their Solutions. However, more recent work - as found in Katz (2007) is the best generally available today An Elementary Treatise On Plane & Spherical Trigonometry: With Their Applications to Navigation, Surveying, Heights, and Distances, and Spherical ... of Bowditch's Navigator, and the Nautical. They were able to predict paths of other objects across the sun, for example the transit of Venus, a description and explanation of which can be found here on Wikipedia. The Babylonian astronomers recorded astronomical data systematically and by the Seleucid period (330-125BCE) there were a great many astronomical tablets showing ephemerides for the moon and the major planets Student's Solution Manual: College Algebra & Trigonometry, Precalculus. EXACT PAY FRACTIONS EXCEL SHEET, solving a system w/fractional co-efficients, linear algebra cheat sheet. Maths Trivia Kids, add negative and positive numbers calculator, pre algebra test on square roots ..chapter 9, rearranging linear equations, matlab to mathcad converter. How to solve the quadratic equation by shortcut method, example of trigonometric, solve first order linear differential equation calculator, finding the nth term in the binomial expansion worksheet, steps for balancing chemical equations A treatise on plane and spherical trigonometry: and its applications to astronomy and geodesy. Basic analytic tools include the Fourier transform, the theory of distributions, Sobolev spaces, and techniques of harmonic and functional analysis. More general linear and nonlinear elliptic, hyperbolic, and parabolic equations and properties of their solutions, with examples drawn from physics, differential geometry, and the applied sciences Instructor's annotated exercises to accompany A graphical approach to college algebra & trigonometry. The calculations are the same in each case, but different letters are used, and the triangle diagram is rotated to a different position. Click the 'Apply' button at the bottom of the edit box. The calculated values will display on the options box. Click the 'OK' button to close the options box. The calculations and triangle diagram will be displayed on your screen. If the triangle diagram is too big to display properly on your computer screen, briefly press the F10 key to reduce its size Trigonometry for Schools and Colleges. Mistakes are part of the learning process, but you have to identify and correct them. Every time you get a problem wrong, diligently search for your mistake and figure out what you should have done instead. If you can't find your error, ask a teacher or friend for help. Or, sign up for Mathway, which will show you the steps to solve any problem you enter into the calculator. 1 Trigonometry (Teach Yourself). Sound feedback is provided to the user for correct and incorrect answers. If you are looking for a program to help improve your subtraction skills, this just might be the app for you! Algebra !!! by Math Pentagon has one of the largest collection of Algebra worksheets on iPad. It is a structured math learning program that engages students to practice math worksheets, exercises & teacher assignments Seven Place Full Natural Trigonometric Tables Cosine. A: When the recipient clicks on their email and redeems their eGift, you will automatically receive an email notification Essentials of Trigonometry. | 677.169 | 1 |
The Maple Player is a free application for the iPad that takes advantage of the powerful Maple computation engine to offer a collection of interactive calculators and conceptual explorations for teaching and learning mathematics. You can enter values, move sliders, and click buttons to perform new calculations and visualize the results. You can even rotate 3-D plots with a brush of your fingertips!
Find solutions to integrals, derivatives, and limits
Visualize the methods for finding the area of a circle and the volume of a cylinder
Understand the definition of limit
Plot arbitrary functions
Calculate solutions to linear systems
And more!
This collection can be used to liven up a classroom and provide additional insight to students outside of class.
More Maple on the iPad! There are hundreds of interactive Math Apps available in the MapleCloud that explore concepts from calculus, statistics, graphing, physics, engineering, and more. These Math Apps can be accessed from both computers and tablets using a standard web browser. Learn more
Looking for a Maple Player to use on your computer? The Maple Player for Windows, Mac, and Linux is a free download that lets you use any interactive Maple application to perform computations and visualize results. It can also be used to view any Maple document. Learn more | 677.169 | 1 |
Showing 1 to 1 of 1
Bronda Williams
Math 126 Survey of Mathematical Methods
Instructor: Dan Urbanski
5/13/2013
We were taught to develop our skills through talking, reading, and writing. The class am taking right
now is a math class and this class I will learn how to speak,
MATH Algebra Advice
Showing 1 to 3 of 3
He's an excellent teacher and algebra is a great course that will help everyone get ahead in life.
Course highlights:
The different ways to solve equations.
Hours per week:
3-5 hours
Advice for students:
Just stay calm and focus on the formulas, Maths is pretty easy if we don't lose our calmness and try to understand the problem and what it demands.
Course Term:Summer 2017
Professor:shim
Course Required?Yes
Course Tags:Math-heavyAlways Do the ReadingMany Small Assignments
Mar 28, 2016
| Probably wouldn't recommend.
This class was tough.
Course Overview:
Math has always been a weakness of mine that I struggle with a lot, I have always been more gifted with reading and writing, so math I have always found rather difficult, no matter the subject.
Course highlights:
I was forced to push myself to extreme limits and create new boundaries while expanding my knowledge with the subject of math. The teacher created a fun learning environment while encouraging learning and providing positive encouragement.
Hours per week:
3-5 hours
Advice for students:
Study and take advantage of free resources, you can never be too prepared, or study too much or too hard. Never not complete assignments, take advantage of every opportunity handed to you and run with it.
Course Term:Summer 2015
Professor:Cortes
Course Required?Yes
Course Tags:Math-heavyParticipation Counts
Jan 23, 2016
| Would recommend.
This class was tough.
Course Overview:
Algebra 2 isnt easy but its neccesary to do well if you want to excel at a higher level.
Course highlights:
The advancedments of algebra, the connection of graphing and formulas.
Hours per week:
0-2 hours
Advice for students:
Try your best, it will be hard. IF you do not have a strong teacher SWITCH OUT. It is crucial that you are taught everything you need to know. Fall in love with it too, that helps. | 677.169 | 1 |
Online scientific calculator - Maybe this posting is only suitable for those students and students, but as the knowledge there is no harm in the consumption by all circles as well. This time the information is about a website which provides a scientific calculator.
You must know what it is not scientific calculator? Yup, a calculator that not only adds functionality, lack of time or for the course, but able to calculate the sine, cosine, tangent, logarithms, hexadecimal, binary, and so forth.
If you're having a task that requires a scientific calculator, you can try the service from With the online scientific calculator you can calculate calcoolate.com functions quickly. | 677.169 | 1 |
Mathematical Applications in Agriculture
ISBN-10: 1111310661
ISBN-13: 9781111310660valuable in any area of agriculture or as a hands-on learning tool in introductory math courses, the 2nd Edition of MATHEMATICAL APPLICATIONS IN AGRICULTURE demonstrates industry-specific methods for solving real-world problems using applied math and logic skills students already have.
Since 1990, Nina H. Mitchell has taught developmental mathematics, mathematics for nursing, and mathematics for agriculture at the Kentucky Community & Technical College System (KCTCS)/Hopkinsville Community College, where she received the award for outstanding adjunct faculty member in 2000. Previously a high school math teacher for 27 years, she taught courses from general mathematics through calculus. Ms. Mitchell has lived on farms her entire life, owning and operating her own for more than 40 years, and has been involved with several types of crop and livestock production. Ms. Mitchell holds a B.S. in mathematics with minors in physics and chemistry | 677.169 | 1 |
You Save:
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Total Price: ₹ 806.82Schaum's Outlines present all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
read more...
The primary tool in the theory of relativity, tensor calculus is also important in continuum mechanics and differential geometry. This book takes a nonabstract, easy-to-understand approach, developing in numerous examples and solved problems those topics most pertinent to physics and engineering students.
short.. | 677.169 | 1 |
Synopsis
Math can be a difficult subject that will require a person to both learn some important skills, and they will also have to memorize things like different kinds of formulas. The more that a students spends doing these things, the better score they will get on their test. This is why a student will greatly benefit by having a common core algebra study guide. The guide contains the information that a student needs to memorize, and has practice problems that will greatly help them.
Buy the eBook
Your price $0.99
You'll see how many points you'll earn before checking out. We'll award them after completing your purchase. | 677.169 | 1 |
Learning Outcomes: On successful completion of this module, students should be able to: ?Solve scientific problems using differential calculus, algebra, trigonometry, polynomials, exponential and logarithm functions. ?Find derivatives of elementary functions, and apply to graph sketching, maximizing and physical problems. ?Demonstrate knowledge of derivatives as rates of change in scientific contexts. ?Demonstrate mastery of algebra of polynomial and rational functionsLearning Outcomes: On successful completion of this module, students should be able to: ?Solve problems using differentiation, especially extremal problems; ?Solve problems using integration, for example the computation of areas; ?Apply the techniques they have learned to compute derivatives and integrals; ?Approximate integrals numerically; ?Solve problems involving first-order differential equations.
Learning Outcomes: On successful completion of this module, students should be able to: ?recall the basic definitions and theorems of limits, continuity, differentiation and integration; ?solve problems using differentiation, integration and related techniques; ?recall the completeness axiom for the Real Numbers and apply it to solve problems involving infimum and supremum; ?prove and apply basic theorems on sequences and series; ?prove theorems in number theory and algebra using induction; ?recall algebraic concepts such as relations, functions, binary operations, and axiom systems for algebraic groups, rings and fields; ?perform standard matrix-related computations and operations; ?determine whether one vector is a linear combination of others, and deduce the dimension of the kernel and image of a matrix, using Gaussian elimination and examining pivots; ?prove the equivalence of the dozen invertibility criteria of Strang's nutshell using the main theorems of linear algebra.
Learning Outcomes: On successful completion of this module, students should be able to: ?Deal with abstraction in algebra; ?Work with algebraic concepts such as relations, functions and binary operations; ?Identify generators and subgroups of given groups; ?Work with group homomorphisms and isomorphisms; ?Find Kernels and Images in specific examples; ?Work with group actions, identify orbits and stabilizers.
Learning Outcomes: On successful completion of this module, students should be able to: ?Solve systems of linear equations. ?Prove theorems and identities using induction. ?Explain the meanings of the words determinant, eigenvalue, eigenvector, invertibility, kernel, image, and spectrum. ?Find the eigenvectors and eigenvalues of a square matrix. ?Find the determinant and inverse of a 3 x 3 matrix, and solve associated linear equations. ?Deduce the solvability of a system of linear equations, without finding the solutions, via Gaussian elimination. ?Deduce whether one vector is a linear combination of others, and by the same method deduce the dimension of the kernel and image of any matrix, using Gaussian elimination and examining pivots. ?Prove the equivalence of the dozen invertibility criteria of Strang's nutshell using the main theorems of linear algebra.
Module Objective: To provide an introduction to concepts and techniques of calculus.
Module Content: Differentiation and integration of functions of a single variable, applications, approximation techniques.
Learning Outcomes: On successful completion of this module, students should be able to: ?Work with the concept of limit; ?Prove basic theorems of limits, differentiation and integration; ?Solve problems using differentiation, especially extremal problems; ?Solve problems using integration, especially the computation of areas and volumes; ?Apply the techniques they have learned to compute derivatives and integrals; ?Approximate integrals numericallyLearning Outcomes: On successful completion of this module, students should be able to: ?Recall the basic properties of rational numbers, real numbers and complex numbers; ?Recall the completeness axiom and apply it to solve problems involving infimum and supremum; ?Recall the basic notions of metric spaces; ?Recall and apply the basic definitions and theorems of sequences; ?Recall and apply the basic definitions and theorems of infinite seriesModule Objective: To provide an introduction to fundamental quantitative techniques for business.
Module Content: Exponential, logarithmic and polynomial functions. Series, annuities and introduction to mathematics of finance. Elementary calculus with business applications.
Learning Outcomes: On successful completion of this module, students should be able to: ?Determine present and future values of single payment and annuity financial transactions; ?Compute mortgage payments; ?Interpret graphs of functions; ?Compute equilibrium point for supply and demand functions; ?Determine price elasticities of supply and demand functions.
Learning Outcomes: On successful completion of this module, students should be able to: ?Perform calculations involving the dot product, the vector product, norms, the Cauchy-Schwarz inequality and the triangle inequality; ?Manipulate matrices and use them to solve systems of simultaneous equations via Gaussian Elimination, Gauss-Jordan Elimination and the Inverse Matrix Method; ?Calculate determinants of square matrices; ?Form the characteristic polynomial of a matrix, calculate eigenvalues and eigenvectors of a matrix. ?Solve simple problems involving ordinary differential equations. ?Compute partial derivatives of functions of several variables using various methods including the chain rule; ?Find the equations of tangent planes and normal lines to surfaces which are the graphs of functions of several variables; ?Compute directional derivatives and maximum/minimum rates of change in terms of the gradient vector; ?Solve simple maxima/minima problems, using tests to determine the nature of local extrema of functions of two variables.
Learning Outcomes: On successful completion of this module, students should be able to: ?Visualise and work with surfaces and regions in 3-dimensional space; ?Evaluate volume, surface, and line integrals in 2 and higher dimensions, and apply them using Green's theorem and Gauss' theorem; ?Describe the mapping properties of basic functions of a complex variable (powers, fractional, exponential); ?Construct an analytic function from its real part using the Cauchy-Riemann equations; ?Compute residues and apply the Cauchy residue theorem to evaluate certain integrals; ?Expand a function as a Fourier Series; ?Use the technique of separation of variables to solve PDEs.
Learning Outcomes: On successful completion of this module, students should be able to: ?Formulate basic definitions and results and prove basic results concerning the topology of Euclidean spaces; ?Recall the basic definitions and theorems of limits, continuity and differentiation and their proofs. ?Formulate and prove the Minimum-Maximum Theorem, the Intermediate Value Theorem, the Uniform Continuity Theorem, and some of their applications; ?Give criteria that ensure functions are Riemann-Stieltjes integrable, and establish basic properties of such integrals.
Learning Outcomes: On successful completion of this module, students should be able to: ?Formulate definitions, basic results and their proofs in relation to uniform convergence of sequences and series of functions, the corresponding Cauchy criteria, and some of their applications; ?Formulate and prove basic results about absolute and uniform convergence of power series and determine the radius of convergence. ?Determine existence and uniqueness of solutions of an ordinary differential equation; ?Solve ordinary differential equations by elementary methods such as separation of variables, undetermined coefficients, or variation of parameters; ?Apply reduction of order to differential equations; ?Solve constant-coefficient linear ordinary differential equations of all orders; ?Solve inhomogeneous linear ordinary differential equations, either by Laplace transform or by other elementary methods; ?Apply Picard iteration to approximate solutions of ordinary differential equations.
Learning Outcomes: On successful
Module Content: Calculus of several variables, including continuity, differentiability and constrained and unconstrained optimisation. Line, surface and volume integrals.
Learning Outcomes: On successful completion of this module, students should be able to: ?Use the definitions to verify continuity and differentiability for simple functions of two (or more) variables; ?Compute partial derivatives, mixed partial derivatives and higher-order partial derivatives using various methods including the chain rules; ?Find the equations of tangent planes and normal lines to surfaces that are the graphs of functions of several variables; ?Compute directional derivatives and maximum/minimum rates of change in terms of the gradient vector; ?Solve simple unconstrained and constrained maxima/minima problems, using tests to determine the nature of local extrema of functions of two variables; ?Set up and calculate line integrals including examples arising in physical and geometrical problems involving curvature, mass, and work done by forces; ?Calculate double and triple integrals of continuous functions, defined over closed, bounded regions, by means of iterated integrals and the fundamental theorem of computation.
Learning Outcomes: On successful completion of this module, students should be able to: ?apply integration techniques to business situations such as computing consumer and producer surplus; ?solve elementary first order differential equations, including differential equations describing exponential growth/decay, with emphasis on applying these techniques to calculating revenue, cost, profits, long-term growth predictions etc.; ?formulate and solve a linear programming model from information given in word and table form; ?perform basic matrix calculations, including addition/subtraction, multiplication, transpose, inverses, determinants; ?solve simultaneous equations using Gaussian Elimination, Gauss-Jordan Elimination, Cramer's Rule and the Inverse Matrix Method and use matrices to perform Input/Output analysis; ?form and solve difference equations, given information in word or numerical form and apply this knowledge to income/growth models; ?find curves of best fit to given sets of data and use the least squares approximation method to predict future outcomesUse completeness arguments to produce existence proofs. ?Compute orthogonal expansions with respect to an orthonormal basis of a Hilbert space, and apply such expansions to solve problems; ?Prove the Riesz Representation Theorem for bounded linear functionals on Hilbert spaces.
Learning Outcomes: On successful completion of this module, students should be able to: ?Accurately manipulate computations in a given ring or field, and in ring quotients by appropriate ideals; ?Solve arithmetic problems like finding the largest common divisor in a Euclidean ring; ?Master basic techniques for investigating when a polynomial over rational numbers is irreducible; ?Solve problems in an integral domain via the induced problem in its field of fractions; ?Recognize when a ring is principal ideal domain or unique factorization domain; ?Solve problems in field extensions of a field F by translating them into linear problems over F; ?Compute the Galois group of a given extension.
Learning Outcomes: On successful completion of this module, students should be able to: ?Analyse the mapping properties of fundamental functions (bilinear, exponential, trigonometric) of a complex variable; ?Define the derivative of a complex function and derive and apply the Cauchy-Riemann equations; ?Prove and apply Cauchy's integral formula, and Taylor's theorem on the power series expansion of analytic functions; ?Derive Liouville's theorem on entire functions and establish the fundamental theorem of algebra; ?Compute residues and apply Cauchy's theorem to the evaluation of integrals and the summation of series; ?Apply Rouche's theorem on the zeros of analytic functions.
Learning Outcomes: On successful completion of this module, students should be able to: ?State the basic concepts of topological and metric spaces. ?Construct examples and counterexamples of topological spaces with certain properties. ?Perform set theoretic computations. ?Formulate the basic properties of continuous functions. ?Apply the theory of various notions of convergence. ?Determine if a set is simply-connected.
Module Objective: To provide an introduction to major concepts in Modern Algebra with applications.
Module Content: Basic algebraic concepts and techniques such as rings and modules, computational algebra techniques and optimization, group representations, fields and field extensions, Galois theory.
Learning Outcomes: On successful completion of this module, students should be able to: ?Identify generators for given ideals of polynomials; ?Apply division algorithms for multivariable polynomials; ?Construct free resolutions of modules; ?Define the homology group of a complex; ?Complete character tables for given examples of groups; ?State the main theorems of Galois theory; ?Identify the ideal associated to an algebraic variety; ?Identify properties of an algebraic variety such as irreducibility, dimension, degree, genus; ?Use the implicit function theorem to pass between parametric and level set descriptions of given manifolds. Use immersions and submersions to describe given manifolds; ?Pass between parametric and level set descriptions of given manifolds; ?Use Riemannian metrics on given manifolds to calculate volumes, the Levi-Civita connection, curvatures, geodesics, with emphasis on surfaces; ?Calculate the induced metric on a submanifold, its second fundamental form, and explain the Gauss equation with particular emphasis on surfaces; ?Calculate the normal and geodesic curvatures of a curve on a surface, and decide whether the curve is a geodesic; ?Calculate critical point indices of a differentiable map on a given manifold, and use this to describe its topological properties; ?Use the concepts of manifold, Lie groups and algebras in the study of differential equations; ?Work with Fuchsian groups and their applications to hyperbolic geometry.
Learning Outcomes: On successful completion of this module, students should be able to: ?Calculate first and second order partial derivatives of functions in two or three variables and apply this to problems in relation to economic concepts such as partial elasticity, production and utility; ?Solve unconstrained optimisation problems for functions in two variables and apply this to optimisation problems in economics; ?Solve constrained optimisation problems for functions in two variables and apply this to optimisation problems in economics; ?Apply the Lagrange Multiplier Method to solve constrained optimisation problems in two variables and apply this to optimisation problems in economics; ?Apply the basic mathematical rules for exponential and logarithmic functions to solve problems in economics in relation to relative growth and decay; ?Solve elementary first order differential equations and apply this to solve problems in economicsCompute the norms and spectra of (certain classes of) operators; ?Use completeness arguments to produce existence proofs for operators and linear functionals with desired properties; ?Establish well-known isometric isomorphisms between sequence spaces and their dual spaces.
Learning Outcomes: On successful completion of this module, students should be able to: ?Write a logical and coherent account of a mathematical topic; ?Construct proofs of mathematical results; ?Assimilate and explain details of selected known theorems and theories; ?Carry out independent library research; ?Give a clear and accurate oral presentation of project resultsmision of revised project report and presentation of findings as prescribed by the Department).
Learning Outcomes: On successful completion of this module, students should be able to: ?Identify and formulate the basic concepts and theorems of sigma algebras, measures and abstract measure spaces; ?Discuss the completion and construction of measures including the basics of Caratheodory's Extension Procedure; ?Synthesise techniques that have been developed in the course to solve particular problems; ?Explain the basic concepts and main theorems of Lebesgue and Lesbesgue-Stieltjes integration including the main convergence theorems; ?Solve problems involving Lebesgue and Lesbesgue-Stieltjes integration; ?Explain the basic concepts and theorems of conditional expectation and martingales; ?Evaluate basic martingales.
Module Objective: To further develop an understanding of, and the skills required for, advanced mathematics.
Module Content: The module will include topics from: algebra, analysis and geometry.
Learning Outcomes: On successful completion of this module, students should be able to: ?Solve basic problems in an area of current research in mathematics; ?Explain the most important recent results of algebra, analysis, geometry or topology; ?Rigorously prove theorems using geometric intuition, algebraic symbol manipulation, and analytic estimates; ?Use theorems from algebra to give insight in the areas of number theory or complex differential geometry; ?Use the concept of manifold in the study of differential equations.
Learning Outcomes: On successful completion of this module, students should be able to: ?Compute Groebner bases and apply elimination theory techniques; ?Calculate homology groups of complexes; ?Perform irreducible decompositions for given representations by finite groups and some classical groups; ?Compute the Galois group of given field extensions; ?Explain the connection between an affine algebraic variety and its ring/field of functions and use these to understand basic properties of given varieties. ?Apply homology techniques to calculate simple invariants of algebraic varieties. ?Use the implicit function theorem to pass between parametric and level set descriptions of given manifolds. Use immersions and submersions to describe given manifolds. ?Use Riemannian metrics on given manifolds to calculate volumes, the Levi-Civita connection, curvatures, geodesics, with emphasis on surfaces. ?Calculate the induced metric on a submanifold, its second fundamental form, and explain the Gauss equation with particular emphasis on surfaces. ?Calculate the normal and geodesic curvatures of a curve on a surface, and decide whether the curve is a geodesic. ?Calculate critical point indices of a differentiable map on a given manifold, and use this to describe its topological properties. ?Use the concepts of manifold, Lie groups and algebras in the study of differential equations. ?Work with Fuchsian groups and their applications to hyperbolic geometry.
Learning Outcomes: On successful | 677.169 | 1 |
... Basic Math & Pre-Algebra Workbook FOR DUMmIES ‰ by Mark Zegarelli Basic Math & Pre-Algebra Workbook For Dummies Published by Wiley Publishing, Inc ... author of Basic Math & Pre-Algebra For Dummies (Wiley), Calculus II For Dummies (Wiley), Logic For Dummies (Wiley), and numerous books of puzzles He holds degrees in both English and math from ... You're not alone, and help is right here! Basic Math & Pre-Algebra Workbook For Dummies can give you the confidence and math skills you need to succeed in any math course you encounter on the way...
... question Below are SV's for each month January-0 February-3 March-3 April-6 May-1 June-4 July-6 August-2 September-5 October-O November-3 December-5 So in this example of December 28, 1963 the ... In this case there are 1 5-7 's in 111, so you have left Now translate that to a day of the week like this - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday You are right the ... 28 Who Is Scott Flansburg? .30 By Scott Flansburg FOREWORD Is math really that important in our day to day life? After all we have calculators to math for us, right? Having...
... he was taken away (1:9) Spoken English Learned Quickly 3.21 They still had their eyes fixed on the sky when two men suddenly stood beside them (1 :10) Why are you standing ... groceries Example: Do you have a phone? May I call you? Can I reach you by phone? Spoken English Learned Quickly 3.20 again = ancora book = libro lesson = lezione LESSON VOCABULARY ... watch / you will (shall) watch / we will (shall) watch / they will (shall) watch Spoken English Learned Quickly 3.19 "CAN" AND "MAY" "May" asks permission: ● May I see your... | 677.169 | 1 |
first choice of teachers and students since its first edition, All in One for Mathematics has been designed for the students of Class XI strictly on the lines of CBSE Mathematics curriculum. The fully revised and updated edition has been authored by an experienced examiner providing all explanations and guidance needed for effective study and for ultimately achieving success in the CBSE Class XI examination.
The present book for Class XI Mathematics has been designed to ensure Complete Study, Complete Practice and Complete Assessment. The book covers Sets, Relations & Functions, Trigonometric Functions, Principle of Mathematical Induction, Complex Numbers & Quadratic Equations, Linear Inequalities, Permutation &Combinations, Binomial Theorem, Sequences & Series, Straight Lines, Conic Sections, Introduction to Three Dimensional Geometry, Limits & Derivatives, Mathematical Reasoning, Statistics and Probability covering CBSE Class XI Mathematics syllabus. The book has been designed strictly in sync with the latest CBSE syllabus &Mathematics NCERT Textbook, with each chapter divided into individual topics for better understanding. Each individual topic contains detailed theory in notes form supported by illustrations, tables, flow charts, etc. which will help in effective comprehension of the concepts. Questions given in each chapter have been grouped as Very Short Answer Type, Short Answer Type, Long Answer Type and HOTS. These Topicwise-Chapterwise questions cover NCERT Questions, Previous Years' Examination Questions as well as other important questions from the examination point of view. Solutions and explanations to all the questions have been given to facilitate easy learning and understanding. Practice Exercise, a small test that has been given at the end of each chapter, to help the students in assessing their level of understanding. For thorough practice and to give students a real feel of the examination 10 Sample Question Papers have been given after the chapterwise study.
As the revised and updated version of this bestseller book focuses on topical study followed by thorough practice, this book for sure will help the aspirants score high grades in the upcoming Class XI Mathematics examination 2016 | 677.169 | 1 |
What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e. of how - and why - things change with time. Problems of this kind lie at the heart of much of applied mathematics, physics, and engineering. From Calculus to Chaos takes a fresh approach to the subject as a whole, by moving from first steps to the frontiers, and by highlighting only the most important and interesting ideas, which can get lost amid a snowstorm of detail in conventional texts. The book is aimed at a wide readership, and assumes only some knowledge of elementary calculus. There are exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. David Acheson's book will inspire new students by providing a foretaste of more advanced mathematics and showing just how interesting the subjectcan be | 677.169 | 1 |
An introduction to Linear Algebra - course
The material is standard in that the subjects covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. Another standard is book's audience: sophomores or juniors, usually with a background of at least one semester of calculus. The help that it gives to students comes from taking a developmental approach — this book's presentation emphasizes motivation and naturalness, using many examples as well as extensive and careful exercises.
Chapter One: Linear Systems
Chapter Two: Vector Spaces
Chapter Three: Maps Between Spaces
Chapter Four: Determinants
Chapter Five: Similarity
Description :
This book helps students to master the material of a standard US undergraduate first course in Linear Algebra. Free PDF book. | 677.169 | 1 |
Numbers and mathematics play a huge role in our daily lives. They're powerful tools—and they're not as scary as you might think!
Coker College's Center for Quantitative Literacy (often affectionately referred to as the "QL Center") is committed to helping you understand and navigate mathematics, both in your classes and as part of our world.
The QL Center is located on the first floor of the Charles W. and Joan S. Coker Library–Information Technology Center. The Center is equipped with computers and graphing calculators, with student and professional staff nearby to help you as you work on homework or study. Open tutoring is available for all mathematics courses, as well as help sessions specific to MAT 100, MAT 101, MAT 203, and MAT 210.
The QL Center also sponsors regular events throughout the semester to help our Coker community build connections through the power of numbers. Check the campus calendar for upcoming events!
The Center for Quantitative Literacy is part of GoFigure! — Coker College's dedicated Quality Enhancement Plan.
During your freshman year at Coker, you will take the Quantitative Literacy Assessment. It will be administered on a Friday, in conjunction with your CC 101 course. This assessment is meant to test your thinking with regards to quantitative topics that arise in everyday life, such as calculating a tip when paying for a meal. If you do not pass the assessment when you initially take it, you may come to the Center for Quantitative Literacy to receive help studying relevant material, and also to retake the assessment. You must pass the QL Assessment prior to receiving a passing grade for your 200-level mathematics course. | 677.169 | 1 |
Help With Math Problems
Help With Math Problems
Friends math is a very vast subject and it plays an important role in our daily life. It is the study
of space, relation, structure, change, and many other topics of pattern.
It becomes an essential part in all the areas which includes engineering, social science,
medicine, natural science etc.
Calculus is one of the most important part of mathematics. So today we are going to study
about the calculus and how to take help with math solvers to solve our math problems.
Calculus is the most important, interesting and most complicated topic in the world of
mathematics, as various online calculus tutors are available to remove its complex nature and
solve our calculus problems.
Calculus plays an important role not only in the area of maths but also in other areas like
physics, economics etc.
Calculus is basically a branch of mathematics focused on limits, functions, derivatives,
integrals, and infinite series. Basically it is the study of 'Rates of Change'.
Know More About Decimal To Fraction Calculator
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There are two main branches of calculus: Differential Calculus and Integral Calculus.
Differential calculus determines the rate of change of a quantity and integral calculus finds the
quantity where the rate of change is known.
Calculus comes with three individual topics : limits, derivatives and Integral. Let's take these
three sections.
A function is a relation that uniquely describes a set of numbers and associate it with a set of
variables. For example f(x) = x2or y = x2
Limits: Limits describe the value of a function at a certain input in terms of its values at nearby
input.
Derivatives or differential calculus: A derivative is a rate of change. For example
average velocity = distance from 1 point to other / time
Integral: An integral is a term used to define the sum total of all parts.
dy/dx = f(x).
Now to understand what calculus exactly do, let us take an example. Today we are going to
learn about the trigonometry problems
Differentiate y = 3sinx -- 4cosx
know the solution for the following is y = 3Dsin x -- 4Dcos x
= 3 (cos x) -- 4 (-sin x)
= 3cosx + 4sinx
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Homework helper helps us in solving math problems or the complicated calculus problem. By
taking calculus or trigonometry homework help tool, we can solve the complicated problems in
a faster way.
Now we need to know about trigonometry. It is a branch of mathematics that studies triangles
and the relationships between their sides and the angles between these sides.
Equations are of many types like Linear equation, Quadratic equation, Differential equations
etc As sometimes the equation to solve becomes so complicated that it becomes very difficult
to solve them.
As equation may contain radicals, rational numbers and various complicated algebraic
expressions also. So for solving equations, various equation solvers are available which helps
to solve such problems in an easier way. The equation solver lets you solve an equation or
system of equations.
Algebra is a very vast concept or we can say it as a subject to study. As it plays an important
role in almost every section not only in maths but even in other areas also like in economics,
mechanical engineering, electrical or electronic applications etc.
Algebra is a simple language, used to form mathematical models for real--world situations and
to solve this problem that we are not able to solve by using basic arithmetic. An algebraic
equation has one or more algebraic terms in a phrase.
Algebra comes with Logarithms, Linear equations, inequalities, Geometry, Statistics etc. As
we move towards our college education, mathematics becomes tougher and complex. We
need a daily practice to gain a skill to solve our mathematics problems.
We can solve our math problems online by using various homework solvers and helpers. By
taking Geometry Homework help tool, we can solve the complicated problems in a faster
way.. | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
Having trouble understanding algebra? Do algebraic concepts, equations, and logic just make your head spin? We have great news: Head First Algebra is designed for you. Full of engaging stories and practical, real-world explanations, this book will help you learn everything from natural numbers and exponents to solving systems of equations and graphing polynomials.
Along the way, you'll go beyond solving hundreds of repetitive problems, and actually use what you learn to make real-life decisions. Does it make sense to buy two years of insurance on a car that depreciates as soon as you drive it off the lot? Can you really afford an XBox 360 and a new iPhone? Learn how to put algebra to work for you, and nail your class exams along the way.
Your time is way too valuable to waste struggling with new concepts. Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, Head First Algebra uses a visually rich format specifically designed to take advantage of the way your brain really works.
Synopsis
This book is algebra with a jolt of fresh air and maybe a whiff of a caffeinated beverage. It's a complete algebra learning experience that engages readers by having them play games, solve puzzles, ponder mysteries, learn the fundamentals of Algebra I that current students are struggling with, or parents have long since forgotten. While readers experience the joy of math, they'll learn (almost without noticing) everything they always wanted to know but were afraid to ask about natural numbers, exponents, graphs and graphing, polynomials, factoring, algebraic fractions, solving equations, the quadratic formula, and much more. Like all of the books in our Head First series, "Head First Algebra" uses a visually rich format designed for the way the brain works. Based on the latest research in neurobiology, cognitive science, and learning theory, this book combines words and pictures in a playful, mixed-media style that not only helps readers understand a subject, but also to remember it.
About the Author
Tracey Pilone, a licensed Civil Engineer, is a freelance technical writer who has worked on mission planning and RF analysis software for the Navy. She has a Civil Engineering degree from Virgina Tech and a Masters of Education from the University of Virginia.
Dan Pilone is Rational Certified in OOAD, RUP, and Rose. His previous employer was a Rational Partner and Dan has taught (formally as well as informally) quite a few UML classes for Hughes, ARINC, UPS, Georgia Systems Operation Center (GSOC), and the Naval Research Laboratory (NRL). As a software architect for clients, Dan has made extensive use of UML (in all views of the architecture) to help convey information to management, developers, team leads, and requirement folks (doing use case analysis in a UML-like fashion). Dan is also Sun J2EE Enterprise Architect certified, which required him to submit his own EJB designs using UML sequence, class, and collaboration diagrams. Dan has worked at Hughes Inc. developing a satellite communication system for which they did real-time UML modeling, and also large numbers of State Diagrams to model the acquisition/control stages.
Table of Contents
; Advance Praise for Head First Algebra; Authors of Algebra; How to use this Book: Intro; Who is this book for?; We know what you're thinking; We know what your brain is thinking; Metacognition: thinking about thinking; Here's what WE did; Read Me; The technical review team; Acknowledgments; Safari® Books Online; Chapter 1: What is Algebra?: Solving for unknowns...; 1.1 It all started with a big gaming sale; 1.2 What does a system really cost?; 1.3 Algebra is about solving for unknowns; 1.4 Jo's got more unknowns; 1.5 X marks the spot unknown; 1.6 Equations are math sentences; 1.7 Now SOLVE for the unknown; 1.8 So which operation do you use when?; 1.9 Jo is ready to accessorize!; 1.10 Equation training; 1.11 Jo has an awesome setup!; 1.12 Math Toolbox; Chapter 2: (More) Complicated Equations: Taking Algebra on the road; 2.1 Paul loves "Pajama Death"; 2.2 Always start with what you know; 2.3 There's a COST for each guy; 2.4 Replace your words with numbers; 2.5 Now solve for g... one step at a time; 2.6 ... but you have to keep the equation equal!; 2.7 If you follow the rules, you'll ALWAYS get the right answer; 2.8 Whole numbers are usually easier to work with; 2.9 A variable can appear in an equation MORE THAN ONE TIME; 2.10 Checking your work proves your answer; 2.11 What's a road trip without some girls?; 2.12 We need another variable; 2.13 A term is a chunk of an algebraic equation; 2.14 Tools for your Algebra Toolbox; Chapter 3: Rules for Numeric Operations: Follow the rules; 3.1 Math or No Math; 3.2 There's an order for working expressions; 3.3 You can re-group your equations; 3.4 It's an important round...; 3.5 Distributing a value over a grouping doesn't change a problem's value; 3.6 A constant stands in for a number; 3.7 Roll the credits...; 3.8 Tools for your Algebra Toolbox; Chapter 4: Exponent Operations: Podcasts that spread like the plague (that's a good thing...); 4.1 Addie's got a podcast; 4.2 Let's mobilize Addie's listeners; 4.3 Can Addie and Alex get enough hits?; 4.4 Alex is flaking out on his sister; 4.5 There's always a villain...; 4.6 The order of operations says exponents FIRST; 4.7 A root is the INVERSE of an exponent; 4.8 Tools for your Algebra Toolbox; Chapter 5: Graphing: A picture's worth 1,000 words; 5.1 Edward's Lawn Mowing needs help...; 5.2 Why don't you just SHOW me the money?; 5.3 Now we can LOOK at Ed's cash pattern; 5.4 Graphs show an ENTIRE relationship; 5.5 Let's graph Ed's equation on the Cartesian Plane; 5.6 Ed's figuring out the SLOPE of lawns; 5.7 Linear equations in point-slope form; 5.8 How does a point and a slope get you a line?; 5.9 Let's use the point-slope form; 5.10 Equations also have a standard form; 5.11 The slope-intercept form is EASY to graph; 5.12 Tools for your Algebra Toolbox; Chapter 6: Inequalities: Can't quite get enough?; 6.1 Kathleen really loves football; 6.2 The cost of all players can't be more than $1,000,000; 6.3 Inequalities are COMPARISONS; 6.4 Inequalities involving some negative number operations need special treatment; 6.5 Negative inequalities work BACKWARD; 6.6 FLIP the inequality sign with negative multiplication and division; 6.7 When you're working with an inequality and negative multiplication or division...; 6.8 You can visualize a solution set on a number line; 6.9 Inequalities can have TWO variables; 6.10 Use a graph to visualize the solutions to an inequality; 6.11 Answers made in the shade; 6.12 Are you ready for some football?; 6.13 Tools for your Algebra Toolbox; Chapter 7: Systems of Equations: Know what you don't know; 7.1 A line means infinite solutions; 7.2 You can't have -1 gallons of liquid!; 7.3 How does the sparkling equation work?; 7.4 The INTERSECTION of the lines solves BOTH linear equations; 7.5 Solve multiple unknowns with a SYSTEM of EQUATIONS; 7.6 Two kinds of glasses... that's TWO unknowns; 7.7 Let's solve the glasses problem; 7.8 You can substitute substitution for graphing; 7.9 f is gone with almost no work; 7.10 Manipulate your equations for elimination; 7.11 Zach's party rocks!; 7.12 Sometimes two equations aren't two lines; 7.13 Tools for your Algebra Toolbox; Chapter 8: Expanding Binomials and Factoring: Breaking up is hard to do; 8.1 Math or No Math semi-regional masters final; 8.2 Who's right?; 8.3 Binomials are groups of two algebraic terms; 8.4 The distributive property, revisited; 8.5 Simplify binomials with the distributive property; 8.6 What about when the signs are the SAME?; 8.7 Sometimes there's just not a pattern...; 8.8 FOIL ALWAYS works; 8.9 Un-distribution is called FACTORING; 8.10 Factoring is un-mulitplying; 8.11 Factor by looking for common terms; 8.12 Zero times anything is 0; 8.13 Tools for your Algebra Toolbox; Chapter 9: Quadratic Equations: Getting out of line; 9.1 Head First U is at war!; 9.2 Jon's upgrading his technology; 9.3 Where does Jon put the catapult?; 9.4 You should always factor with a PLAN; 9.5 Pi Gamma Delta built a wall!; 9.6 9 feet is not a problem; 9.7 The quadratic formula; 9.8 Frat Wars, part deux; 9.9 How can you graph x2?; 9.10 A parabola is the shape of a quadratic equation; 9.11 Graphing a parabola depends upon the vertex; 9.12 Work with the parabola, the SMART way; 9.13 The discriminant can help with our graph, too; 9.14 Tools for your Algebra Toolbox; Chapter 10: Functions: Everyone has limits; 10.1 Pajama Death TV; 10.2 Equations have limits (most of the time); 10.3 The input limits are the domain of the function; 10.4 Functions have minimum and maximum outputs; 10.5 Algebra is really about relations; 10.6 Relations, equations, and functions all go TOGETHER; 10.7 Function graphs have LIMITS; 10.8 Just before the second episode of Pajama Death TV...; 10.9 Graphing reveals the nature of a relation; 10.10 Functions pass the vertical line test; 10.11 But... what about the REST of the tickets?; 10.12 Use the function piece you NEED; 10.13 The numbers are in... and?; 10.14 Pajama Death's show was a hit!; 10.15 Tools for your Algebra Toolbox; Chapter 11: Real-World Algebra: Solve the world's problems; 11.1 Calculate interest from your interest rate and the principle amount you're borrowing; 11.2 Max doesn't own that car just yet...; 11.3 You don't need to GUESS with Algebra; 11.4 Max plans to pay you to be his financial planner; Leftovers: The Top Five Things (we didn't cover); #1 Negative Exponents; Working with negative exponents; #2 Table of values for graphing; #3 Absolute value equations; #4 Calculators; #5 More practice, especially for factoring; Pre-Algebra Review: Build on a solid foundation; Algebra starts with numbers; How do you work with negative numbers?; Addition and subtraction of integers; Multiplication and division of integers; Absolute Value; What absolute value means; Number sets - all together; The number sets; Three ways to split things up; Decimal's Anatomy; Addition and subtraction with decimals; Decimal multiplication; Decimal division; Decimal division training; Special decimals; You're 100% right!; Working with percents; Fractions; Fraction multiplication; Improper fractions; More about improper fractions; Invert a fraction to get its reciprocal; Adding and subtracting fractions; Equivalent fractions get you matching denominators; Use the lowest common denominator for addition; Fraction addition and subtraction training; Dividing by one doesn't change the value; Reduce fractions by dividing by 1; Factor trees can eliminate lots of little steps; Reduce fractions with the factor tree; Putting it all together - fractions; Converting decimals to fractions; Division by Zero doesn't work; Sometimes multiplication takes forever!; How quickly things spread...; Why does all this matter?; | 677.169 | 1 |
Fundamentals of Math Teacher's Edition with CD (2nd ed., 2 vols.) is rated
4.0 out of
5 by
2.
Rated 4 out of
5 by
Nance from
Great, easy to use, Biblically based, challenging book!Good, leveled, and challenging problems.
Excellent Christian application and focus and Biblical ties.
Solid and appropriate examples.
Simplified presentation and format but challenging problems too.
Good sequencing of concepts.
Good that answers are not in back of book.
"Dominion thru Math" is a super theme.
Recommendations:
Need more mixed review and variety.
More extra practice worksheets would be helpful.
The animal theme in the explanations is a little too elementary for 7th grade.
Date published: 2015-11-30
Rated 4 out of
5 by
tim9021 from
lacks PDF teacher editionI have only one disappointment with this book, it doesn't have a copy of the teachers edition on pdf as did the Sixth grade Third edition had.
Only one disappoint, but a big one for me. | 677.169 | 1 |
Proyectos, olimpiadas, calculadoras, historia, biograf�as, ensayos en linea, Ejercicios para estudiantes de secundaria, bachillerato y ciclos , e.g. Algebra y trigonometria con geometria analitica Algebra y trigonometria con geometria. Teor�a y ejercicos resueltos de Bachillerato. Ejercicios propuestos en Selectividad y prueba de acceso para mayores de 25 a�os en la UNED. Revista electr�nica de matem�tica b�sica. Recursos matem�ticos desde el nivel pre-escolar hasta el nivel superior Las Formas En La Naturaleza. Matemáticas Y Comprensión De La Realidad Observable 2. El Espacio Y Su Medida. La Geometría (Ciudad de las Ciencias) Las Formas En La Naturaleza. Matemáticaslibraries statically 674 incompatible:: Standards context methodhtml statically on incompatible::libraries | 677.169 | 1 |
Middle Grades Mathematics Textbooks
A Benchmarks-Based Evaluation
For many mathematics teachers, the textbook is their primary guide to implementing the
curriculum. Consequently, Project 2061 began its evaluation of mathematics textbooks with
three basic propositions: First, good textbooks can play a central role in improving
mathematics education for all students; second, the quality of mathematics textbooks
should be judged mainly on their effectiveness in helping students to achieve important
mathematics learning goals for which there is a broad national consensus; and, third, an
in-depth analysis of much more than a textbook's content coverage would be required
to evaluate whether there is potential for students' actually learning the desired subject
matter.
Data on poor student performance from the Third International Mathematics and Science
Study and other research indicate that the middle school mathematics curriculum requires
urgent attention. It is in middle school that many students find themselves in mathematics
programs that are repetitious and non-challenging. As a result, their achievement and
interest in mathematics stalls, and they are unable to take advantage of the full range of
academic and career options in the future. For these and other reasons, middle school is a
critical leverage point for education reform effortsand offers a
productive focus for Project 2061's first evaluation effort.
With funding from the National Science Foundation, Project 2061 developed a unique
approach to curriculum materials evaluation. The Project 2061 curriculum-materials
analysis procedure uses selected learning goals from national or state standards or
benchmarks as the basis for an evaluation. (Much more information on the development and
application of this procedure will be available in Project 2061's Resources for
Science Literacy: Curriculum Materials Evaluation (AAAS, 2000), a forthcoming
print/CD-ROM tool.)
For this evaluation of middle school mathematics materials, analysts used Project
2061's Benchmarks for Science Literacy (AAAS, 1993) in the procedure to
identify to what extent textbooks address six important mathematics concepts and skills
and also provide instructional strategies that are likely to help students learn them.
While there are other, more abbreviated methods for evaluating materials, the Project 2061
procedure has been specifically designed to assess whether a material is satisfactory for
use in classrooms where literacy in mathematics and science is a goal for all students.
Late in 1997, the Carnegie Corporation of New York agreed to fund the first of a series
of evaluations of textbooks in mathematics and science. Work began in early 1998 on middle
school curriculum materials.
Project 2061's textbook evaluation has several distinct features that set it apart
from other evaluation efforts:
A rigorous and uniformly applied process.Analysts of the
middle-school mathematics textbooks were evenly divided between experienced, practicing
classroom teachers and higher education faculty who were knowledgeable about research on
mathematics learning and teaching. All were highly capable in mathematics content, and
extensively trained in the Project 2061 analysis procedure. Six independent two-person
teams evaluated each textbook.Each team was assigned two benchmarks
to use in the review of a textbook series. After completing their analyses, the teams met
to reconcile their ratings before proceeding to the next series of books. Continuing in
this way, each team analyzed a total of six series of books, using the same two
benchmarks.
An evidence-based analysis procedure. Using custom-designed software to document
what they found, analysts examined the student and teacher editions of the textbooks to
identify lessons, activities, teacher notes, assessments, and other materials that
addressed one or more ideas in each of six commonly taught benchmarks drawn from Project
2061's Benchmarks for Science Literacy. Next, they analyzed that content using
a set of research-based instructional criteria. All analysts looked for the same
instructional criteria in each textbook and used the same methodology and scoring
guidelines to arrive at their ratings. Analysts were required to provide specific evidence
from the materials to justify each of their ratings. A complete record of that evidence is
available for each textbook that was analyzed.
Key mathematics benchmarks. In creating its analysis procedure, Project 2061 found
that studying a material's treatment of a relatively small but carefully chosen set
of benchmarks can identify the strengths and weaknesses of the material as a whole in its
instructional design and support. Six benchmarks representing three important mathematical
strands—number, geometry, and algebra—were used to conduct the analysis. These
benchmarks are examples of the core mathematics content likely to appear in any middle
grades material. Specifically, they include a concept benchmark dealing with fractions and
operations on them; a skill benchmark dealing with equivalent forms of numbers; a concept
and a skill benchmark dealing with properties of shapes and computations of circumference,
area, and volume; and two concept benchmarks dealing with graphing and equations.
Research-based instructional criteria. The reviewers rated each textbook on 24
criteria derived from research on learning and teaching and on the craft knowledge of
experienced teachers. For example, reviewers rated the extent to which textbooks informed
teachers about prerequisite ideas or skills that students would need to achieve a
benchmark. They also considered whether the textbook provided appropriate assessment items
that focus on understanding benchmark ideas and whether it offered teachers advice on how
to use the assessment results to guide their classroom activities.
Evaluating Content
Six middle school benchmarks were selected as content criteria for the evaluation. The
content in these and other learning goals recommended in AAAS's Benchmarks
overlap substantially with the Curriculum and Evaluation Standards for School
Mathematics (National Council of Teachers of Mathematics [NCTM], 1989) and deal with
concepts and skills that nearly everyone would agree are important for middle school
students to achieve:
Number Concepts
The expression a/b can mean different things: a parts of size 1/b
each, a divided by b, or a compared to b.
Number Skills
Use, interpret, and compare numbers in several equivalent forms such as integers,
fractions, decimals, and percents.
Geometry Concepts
Some shapes have special properties: Triangular shapes tend to make structures rigid, and
round shapes give the least possible boundary for a given amount of interior area. Shapes
can match exactly or have the same shape in different sizes.
Geometry Skills
Calculate the circumferences and areas of rectangles, triangles, and circles, and the
volumes of rectangular solids.
Algebra Graph Concepts
Graphs can show a variety of possible relationships between two variables. As one variable
increases uniformly, the other may do one of the following: increase or decrease steadily,
increase or decrease faster and faster, get closer and closer to some limiting value,
reach some intermediate maximum or minimum, alternately increase and decrease
indefinitely, increase or decrease in steps, or do something different from any of these.
Algebra Equation Concepts
Symbolic equations can be used to summarize how the quantity of something changes over
time or in response to other changes.
Evaluating Instruction
After identifying textbook activities that address a part or all of the content in a
benchmark, analysts then rated each activity on how well it addresses 24 instructional
criteria. Arranged in seven broad categories, these instructional criteria are not
intended to espouse or reflect any particular theory or ideology of learning, beyond the
principles and strategies that are supported by the available research evidence. Much of
that evidence is summarized in Chapter 15 of Project 2061's Benchmarks for Science
Literacy. In addition, these instructional criteria are consistent with the principles
for effective mathematics learning and teaching found in NCTM's current revision of
its mathematics standards (NCTM, 1998). | 677.169 | 1 |
Matrices Definitions: square matrix, Diagonal matrix, Row matrix, Column matrix, transpose. Learn how to write and solve equations based on Algebra word problems Mathwords: Terms and Formulas from Beginning Algebra to Calculus. −. S. Home > Solving Equations > Addition Equations algebra homework help formulae Solving One Step Equations Addition Equations Learn how to solve one step equations in 2 easy steps Substitution. Free math lessons, formulas, calculators and homework help, in calculus, algebra, analytic geometry and linear algebra Free math lessons and math homework help from basic math to algebra, geometry and beyond. Covering pre-algebra through algebra algebra homework help formulae 3 with a variety of introductory and advanced lessons Algebra - Substitution "Substitute" means to put in business plan writer for mac the place of another. This topic is part of the TCS FREE high school mathematics 'How-to Library', and will help you to simplify algebraic expressions Introduction to Algebra. This course will make math come alive with its many intriguing examples of algebra in the world around you, from bicycle. Start browsing Purplemath's free resources below! Algebra is great fun - you get to solve puzzles! FREE online interactive hotel service essay quizzes on algebra, math games & formulas. Students, teachers, parents, and everyone can find solutions to their math. Get Free Algebra Help from Expert Online Tutor. Solves algebra problems and walks you through them.. Includes basic area, surface area, and volume formulas Get the free "Boolean Algebra Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. ADD/ADHD Tutoring Programs. In Algebra "Substitution" means putting numbers where the letters are:. Join our Online literature review service Tutoring, Avail from Basic to College Algebra Help and Gain a Complete Learning over Algebra Welcome to Free Math Help. Welcome to Algebra 1: Concepts and Skills. This section is a collection of lessons, calculators, and worksheets created to assist students and teachers of algebra. research paper on service learning Algebra Help. A Puzzle. What is the missing number? Learning GCSE Maths: Algebra, Fractions and Logic (Fun GCSE Maths revision quizzes to teach students in Year 10 and Year 11) You probably know Mathematics as 'Maths. An interactive math dictionary with enough math words, math terms, math formulas, pictures, …. Students, teachers, parents, and everyone can find solutions to their math. Wednesday July 05, 2017 S. Pre-Algebra: Pre-Algebra concepts are salon du livre pays d'essay presented in this unit, including order of operations, and writing algebraic expressions and equations.. Need help with math? Reviews basic geometric formulas commonly arising in algebraic contexts such as word problems. O. Practial Algebra Lessons: Purplemath's algebra lessons are informal in their tone. Substitution. When letters in a formula are replaced by numbers, it is called substitution. Purplemath. Technical Tutoring Home · Technical Tutoring business plan for buying a house Blog · algebra homework help formulae Site Index · Advanced Books · Speed Arithmetic · Math Index · Algebra Index · Trig Index · Chemistry Index. For the purpose of measuring time, the Earth's …. Free math lessons and math homework help from basic math to algebra, geometry and beyond. A secondary school revision resource for GCSE Maths about foundation level formulas, formulae, equations and index notation. Reading Tutoring; Writing Tutoring; Math Tutoring; Study Skills Tutoring; Homework Help; Specialized Programs. A list of Maths lesson starter activities and interactive exercises for students on the topic of Algebra Programs By Subject. MATHematics is your free resource for math review material from Algebra to Differential Equations! Example - Time. Please select a topic for math help: Algebra. Here are a few of the ways you. Find more Computational Sciences widgets in Wolfram|Alpha Algebra Calculator shows you the step-by-step solutions! The perfect study site for high. | 677.169 | 1 |
Hardcover(3rd ed)
Temporarily Out of Stock Online
Overview
A Survey of Mathematics: With Applications by Allen R. Angel, Stuart R. Porter
The sixth edition of this best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This book provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures, and introduces students to the uses of technology in mathematics. Exercise sets are now organized into Concept/Writing, Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research Activities. An updated Consumer Math section including updated material on sources of credit and mutual funds. Motivational, chapter-opening material demonstrates connections between math and various other disciplines. KEY MARKET For those who require a general overview of mathematics, especially in the fields of elementary education, the social sciences, business, nursing and allied health fieldsThe Akst/Bragg series' success is built around clear and concise writing, a side-by-side "teach by
example" approach, and integrated applications throughout that help students achieve a conceptual understanding. The user-friendly design offers a distinctive side-by-side format that pairs examples ...
Delves into how the central nervous system governs behavior Biopsychology, 9/e, introduces the study of
the biology of behavior; that is, the neural mechanisms of psychological processes in the central nervous system. This program combines biopsychogical science and student-oriented discussion, ...
The Bittinger Worktext Series recognizes that math hasn't changed, but students–and the way they learn
math–have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has aThrough many successful editions, the Angel team has developed a text that students can read,
understand, and enjoy. They've done this by pairing clear explanations (in short sentences!) with detailed examples and thorough exercise sets. Note: You are purchasing a ...
Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations
as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of ... | 677.169 | 1 |
Category: Medical
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The easy way to brush up on the math skills you need in real life Not everyone retains the math they learned in school. Like any skill, your ability to speak "math" can deteriorate if left unused. From adding and subtracting money in a bank account to figuring out the number of shingles to put on a roof, math in all of its forms factors into daily life. Math For Real Life For Dummies provides you with the simple formulas and theorems that you're likely to encounter in the workplace, the kitchen, and even when playing games. You can turn to Math For Real Life For Dummies to brush up on your math skills or to handle everyday encounters, like calculating restaurant tips, understanding interest rates, and figuring out percentages and odds. Packed with real-world examples that make sense, Math For Real Life For Dummies takes the stress out of your daily calculation encounters. Provides tips for understanding and using basic mathematical concepts Shows you how math helps the mind to reason and organize complicated situations or problems into clear, simple, and logical steps Covers all of the math skills you're likely to need in everyday situations If you're looking for a practical, plain-English guide to mastering everyday math skills, Math For Real Life For Dummies has you covered.
Category: Mathematics | 677.169 | 1 |
EA4B01DMA Discrete mathematics for OI
Goodies:
• sylabus - the most
important info about the course.
• Schedule of classes - weekly
outlines of lectures and a special printable version of slides.
We strongly recommend that you print them and
take them with you to lectures.
• Information on
midterms - times and topics covered.
Practice problems for
midterm 1 and
midterm 2.
Lecture notes: We recommend Rosen's Discrete mathematics
that covers most topics, but it can be a bit complicated for beginners at
times. Scheinerman's Mathematics: A Discrete Introduction is a
nice introduction to many of the topics we cover here and also to logic
and the art of proofs. For the topics not covered in these two books, see
lecture notes.
Homeworks:
Each is due in the lab the week after it was assigned, see the specification
in their headings. They will not be graded, so there is no need to worry,
the important thing is to switch on your brain and give it a good try. The
purpose of these homeworks is that students think about new topics
and master elementary techniques before we look at these things properly
in labs. | 677.169 | 1 |
Facts101 is your complete guide to Discrete Mathematical Structures. In this book, you will learn topics such as Counting, Relations and Digraphs, Functions, and Order Relations and Structures | 677.169 | 1 |
Nancy Anderson
Mathematical Studies SL
"This course is available at standard level (SL) only. It caters for students with varied backgrounds and abilities. More specifically, it is designed to build confidence and encourage an appreciation of mathematics in students who do not anticipate a need for mathematics in their future studies. Students taking this course need to be already equipped with fundamental skills and a rudimentary knowledge of basic processes.
The course concentrates on mathematics that can be applied to contexts related as far as possible to other subjects being studied, to common real-world occurrences and to topics that relate to home, work and leisure situations. The course includes project work, a feature unique within this group of courses: students must produce a project, a piece of written work based on personal research, guided and supervised by the teacher. The project provides an opportunity for students to carry out a mathematical investigation in the context of another course being studied, a hobby or interest of their choice using skills learned before and during the course. This process allows students to ask their own questions about mathematics and to take responsibility for a part of their own course of studies in mathematics.
The students most likely to select this course are those whose main interests lie outside the field of mathematics, and for many students this course will be their final experience of being taught formal mathematics. All parts of the syllabus have therefore been carefully selected to ensure that an approach starting with first principles can be used. As a consequence, students can use their own inherent, logical thinking skills and do not need to rely on standard algorithms and remembered formulae. Students likely to need mathematics for the achievement of further qualifications should be advised to consider an alternative mathematics course.
Because of the nature of mathematical studies, teachers may find that traditional methods of teaching are inappropriate and that less formal, shared learning techniques can be more stimulating and rewarding for students. Lessons that use an inquiry-based approach, starting with practical investigations where possible, followed by analysis of results, leading to the understanding of a mathematical principle and its formulation into mathematical language, are often most successful in engaging the interest of students. Furthermore, this type of approach is likely to assist students in their understanding of mathematics by providing a meaningful context and by leading them to understand more fully how to structure their work for the project." | 677.169 | 1 |
Objectives: This algebra based Physics course is for middle/high school students who are new to physics with no prior physics course work necessary. Students should have completed algebra I and geometry. This summer course will also give students a head start if they would like to prepare for the F=ma contest.
Homework: Homework will be assigned every week and can be worked and discussed in Saturday practice class | 677.169 | 1 |
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