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Saturday, May 3, 2014
Foundational Standards
At our last Tiered Algebra day, we spent an entire morning choosing foundational standards for Algebra 1 (specifically looking through the Appendix A standards that were identified for Algebra 1). We wanted to be make sure to state that we are not choosing Power Standards. Common Core specifically clarifies that all standards are equally important. In our core instruction, we need to be teaching all standards. However, we felt it might be helpful to identify some standards that were critical to the learning of other standards. We wanted our foundational standards to be ones that:
would help students learn other Algebra standards
would be necessary for life
might help bridge between 8th grade math and Algebra
An example is that if students have trouble solving linear equations, it is likely that they would have trouble solving systems of equations, quadratic equations, etc. In that way, solving linear equations is a foundational standard. After much discussion we came up with the following foundational standards/groups of standards: EQUATIONS/INEQUALITIES A.CED.1: Create equations and inequalities in one variable and use them to solve problems. A.REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. A.CED.4: Rearrange formulas to highlight quantities of interest, using the same reasoning as in solving equations.
SLOPE F.IF.6: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. S.ID.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
POLYNOMIAL OPERATIONS A.APR.1: Understand that polynomials for a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
MEANING OF A GRAPH F.IF.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of fcorresponding to the input x. The graph of f is the graph of the equation y = f(x).
A.REI.10: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
INTERPRET PARTS OF AN EXPRESSION
A.SSE.1: Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity.
EXPONENTS AND RADICALS
N.RN.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.
USE UNITS
N.Q.1: Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
It was a morning of long debates, so I would easily say that almost all of us would argue to change something about what we came up with...overall what to you think? Is there something you would add or remove? | 677.169 | 1 |
I recommend this because it is more than just a math class. You have to read and interpret the questions before you answer the problem. Once you interpret the question, solving the problem is easy. Statistics really forces you to think, which is essential for any math class.
Course highlights:
It is more than just learning probability. It also helps in the science field and allows you to use investigating skills .
Hours per week:
6-8 hours
Advice for students:
Make sure you do the homework! Practice makes perfect all the time.
Course Term:Fall 2017
Professor:Mrs. Hodge
Jun 01, 2017
| Would recommend.
Not too easy. Not too difficult.
Course Overview:
Because it'd a challenge. Not every one loves math. Thats only because they dont know what they're doing. But once you get the hang of it its actually enjoyable!
Course highlights:
The difficult units. As a whole class, we tried and solved it the best we could and we eventually got! It became easier as we moved further. | 677.169 | 1 |
Available in many languages, "Maths Formulas" is a perfect app that provides all basic and advanced formulas in mathematics. It's very convenient for all students in high school or university and engineers to look for any easy or complicated formulas | 677.169 | 1 |
The SciPy Stack is a collection of Open-Source Python libraries finding their application in many areas of technical and scientific computing. It builds on the capabilities of the NumPy array object for faster computations, and contains modules and libraries for linear algebra, signal and image processing, visualization, and much more. Accordingly, gaining a solid working knowledge on some of the basic functionality of the SciPy Stack to solve mathematical models numerically is clearly the first step before one can start using it to tackle large-scale computational projects either in the industry or in the academic world.
This practical course begins with an introduction to the Python SciPy Stack and a coverage of its basic usage cases. You will then delve right into the different functionalities offered by the main modules comprising the SciPy Stack (Numpy, Scipy, and Matplotlib) and see the basics on how they can be implemented in real-life scenarios. You will see how you can make the most of the algorithms in the SciPy Stack to solve problems in linear algebra, numerical analysis, visualization, and much more, including some practical examples drawn from the field of Machine Learning. By the end of this course, you will have all the knowledge you need to take your understanding of the SciPy Stack to a new level altogether, and tackle the trickiest problems in numerical and scientific computational programming with ease and confidence.
Table of Contents
Chapter:
Installation and Setup
The Course Overview
05m 47s
Python Installation
06m 28s
Chapter:
Python
Overview of Python in Engineering and Scientific Computing
03m 20s
on and the IPython (now Jupiter) Notebook
06m 40s
Chapter:
NumPy and its functionality
Working with NumPy Arrays
16m 52s
Avoiding For Loops in Some Mathematical Operations via NumPy Arrays
09m 48s
Matrices as an Efficient Way to Operate with Data
07m 55s
Implementation in NumPy of a Matrix Object and Some Operations
07m 19s
Functionality of NumPy for Reading and Writing Data
08m 54s
Chapter:
SciPy and its Functionality
General Introduction to SciPy
07m 11s
Statistics with SciPy
10m 59s
Fitting Curves with the SciPy Library
06m 0s
Solving Ordinary Differential Equations with the SciPy Library
14m 14s
SciPy Library Special Functions
07m 13s
Chapter:
Matplotlib
Two Dimensional Plots via Matplotlib (2D plots)
06m 35s
Three Dimensional Plots via Matplotlib (3D plots)
07m 27s
Scatter and Contour Plots via Matplotlib
05m 21s
Plotting Histograms via Matplotlib
03m 39s
Chapter:
Data Preprocessing and Machine Learning Language
Generalities on Machine Learning
06m 19s
Generalities on Working with Data: Getting it and Putting it in the Right Format | 677.169 | 1 |
The Babylonian mathematicians are the main cause for the origin of algebra several thousands years ago. The term algebra is it defines the numbers to be represented as variables .
Algebra is classified into two categories;
They are,
Ancient algebra and
Modern algebra.
Ancient algebra mainly deals with elementary level of solving problems which involves basic arithmetic operations only. Algebra mostly consists of letters and symbols. Each letter and
symbol has certain meanings. In this article we are going to see about algebra letters and meanings.
Meaning of letters in Algebra:
The word algebra means the branch of math that deals with the numbers denoted as letters or alphabets of English alphabets.
For example a number in general can be represented by `n` . The most common value or letter used in algebra is `x` .The area is denoted by
`A` , volume is denoted by `V` , length is denoted by `l` , width is denoted by `w` , height is
denoted by `h` , radius is denoted by `r` , time is denoted as `t` or `T` , base of a 3 -
dimensional object is `b` ,area of triangle is denoted by `Delta` ,side is denoted by `s` etc. | 677.169 | 1 |
Get Fundamental Cut-Set Matrix Assignment Help Now
Fundamental Cut-Set Matrix Qf
A fundamental cut-set matrix Qfdescribes the branches contained in a fundamental cut-set and their orientations. Each row of this matrix corresponds to a fundamental cut-set of the graph; the columns of the matrix correspond to the brandies of the graph.
The fundamental cut-set matrix Qf of a graph G with nt nodes and b branches corresponding to a tree T is an (nt - 1) × b matrix. It is given by
Transtutors comprises highly qualified and certified teachers college professors, subject professionals in various subjects like network systems etc. All our tutors are highly experienced and can clear your doubt regarding fundamental cutset matrix and can explain the different concepts to you effectively. | 677.169 | 1 |
Advanced Placement Calculus Worksheets
Free Advanced Placement Calculus Worksheets
Advanced Placement Calculus also known as AP Calculus exam is one of the most popular of all AP exams. It indicates one of the two AP Calculus courses offered by the College Board, AP Calculus AB and AP Calculus BC.
AP Calculus AB exam is taken by high school students around the world. AP Calculus BC includes additional topics to the topics of AP Calculus AB. Doing well in your AP Calculus exam could help you get to that dream college and achieve your goals. Our expert tutors give you the tips and tricks on differentiation, Integration and much more.
How to use eTutorWorld Worksheet
Take a tour on our free section of worksheets on AP Calculus to check out your Limits and Continuity, and Differentiation and Integration quotients.
Give your Math and Science grades and test scores a fillip with expert personal online tutoring. eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 5-12 and AP and community college courses, at your personal scheduled times, all with a Money-Back Guarantee. Try us today.
The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required. Learn more | 677.169 | 1 |
In a few classes, all it will require to pass an examination is notice using, memorization, and remember. Even so, exceeding within a math class will take a special type of exertion. You cannot only present up for your lecture and check out your teacher "talk" about geometry and . You study it by undertaking: paying attention in class, actively learning, and solving math issues – even if your instructor has not assigned you any. If you end up struggling to try and do very well inside your math course, then take a look at very best web page for solving math issues to discover the way you could become an improved math pupil.
Low-cost math professionals on the net
Math programs follow a normal development – each one builds on the awareness you've attained and mastered within the prior course. For those who are obtaining it hard to comply with new ideas in school, pull out your old math notes and overview earlier materials to refresh your self. Make sure that you fulfill the prerequisites just before signing up for your class.
Assessment Notes The Night time Just before Class
Despise any time a teacher calls on you and you've neglected the way to fix a certain issue? Prevent this instant by examining your math notes. This could assist you to ascertain which principles or issues you'd choose to go in excess of in class another day.
The considered performing homework each night time could appear aggravating, however, if you'd like to succeed in , it is actually essential that you repeatedly observe and learn the problem-solving strategies. Make use of your textbook or on-line guides to operate by way of top rated math challenges with a weekly foundation – even though you've no research assigned.
Utilize the Supplements That include Your Textbook
Textbook publishers have enriched modern day publications with excess materials (including CD-ROMs or on line modules) that will be utilized to assist students gain extra observe in . Many of these components may additionally consist of a solution or explanation guide, which often can allow you to with performing by way of math issues on your own.
Read Forward To remain Ahead
If you'd like to minimize your in-class workload or even the time you shell out on research, use your free time just after faculty or to the weekends to read through ahead to the chapters and ideas that can be included the subsequent time you will be in class.
Evaluate Previous Checks and Classroom Examples
The operate you do at school, for homework, and on quizzes can offer you clues to what your midterm or closing test will search like. Use your previous assessments and classwork to create a particular examine guidebook to your future test. Seem within the way your instructor frames inquiries – that is probably how they can seem with your test.
Discover how to Do the job With the Clock
That is a preferred examine suggestion for persons taking timed exams; specially standardized tests. In the event you have only 40 minutes for any 100-point take a look at, then you can optimally shell out 4 minutes on just about every 10-point dilemma. Get details regarding how prolonged the check will probably be and which styles of concerns might be on it. Then system to attack the simpler inquiries 1st, leaving your self ample time and energy to expend within the more demanding types.
Maximize your Methods to acquire math homework support
If you're getting a tough time understanding concepts in class, then be sure you get assist beyond course. Ask your buddies to make a review group and check out your instructor's business office hrs to go more than tough complications one-on-one. Show up at research and assessment classes when your instructor announces them, or hire a personal tutor if you need just one.
Speak To By yourself
If you are examining troubles for an exam, check out to explain out loud what approach and strategies you used to get your solutions. These verbal declarations will come in helpful through a exam once you must recall the methods you should just take to locate a remedy. Get more exercise by striving this tactic having a good friend.
Use Examine Guides For Additional Apply
Are your textbook or class notes not helping you comprehend whatever you really should be learning at school? Use examine guides for standardized tests, like the ACT, SAT, or DSST, to brush up on old product, or . Review guides usually occur equipped with complete explanations of the way to remedy a sample challenge, , and you simply can usually uncover exactly where would be the far better acquire mathdifficulties. | 677.169 | 1 |
IBmaths4u.com is the first forum introducing the addition of LaTeX mathematical typesetting for IB mathematics(HL,SL,studies). LaTeX is a professional-grade general typesetting system that centers around very pleasing mathematical presentation. Mathematical expressions are written in a markup style somewhat similar to HTML. You may include LaTeX graphics in any post here on IBmaths4u.com To include a LaTeX graphic, simply include your LaTeX code within the tags [ tex][ /tex]. without spaces. Or by using the rightmost button in editing bar as shown in the following image.
Basic Guidelines Lines and Text. \\ starts a new line, \ includes a space, \mbox{...} includes text | 677.169 | 1 |
Make a geodesic dome big enough to sit in. Solve one of the world's hardest two-piece puzzles. Pass a straight line through a curved slot. From prime numbers to paraboloids, Amazing Math Projects You Can Build Yourself introduces readers ages 9 and up to the beauty and wonder of math through hands-on activities. Kids will cut apart shapes to discover... more...
Synchronization processes bring about dynamical order and lead to
spontaneous development of structural organization in complex systems
of various origins, from chemical oscillators and biological cells to
human societies and the brain. This book provides a review and a
detailed theoretical analysis of synchronization phenomena in complex
systems with... more...
The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds,... more... | 677.169 | 1 |
Understanding Analysis (Undergraduate Texts in Mathematics)
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
"synopsis" may belong to another edition of this title.
From the Back Cover:
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.
Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler's computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book's cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
Review of the first edition:
"This is a dangerous book. Understanding Analysis is so well-written and the development of the theory so well-motivated t
hat exposing students to it could well lead them to expect such excellence in all their textbooks. ... Understanding Analysis is perfectly titled; if your students read it, that's what's going to happen. ... This terrific book will become the text of choice for the single-variable introductory analysis course ... "
― Steve Kennedy, MAA Reviews About the Author:
Stephen D. Abbott is Professor of Mathematics at Middlebury College. He is a two-time winner of Middlebury's Perkins Award for Excellence in Teaching (1998, 2010). His published work includes articles in the areas of operator theory and functional analysis, the algorithmic foundations of robotics, and the intersection of science, mathematics and the humanities.
Book Description Springer, 2010. Soft cover. Book Condition: New. Dust Jacket Condition: New. International13405600536
Book Description Springer405600539 | 677.169 | 1 |
What to expect: Approximately 1/3 of the exam will be
calculations and examples, the rematinder will be more theoretical
exercises.
You should review the main theorems and techniques from
each section. You will not be required to memorize proofs, but you should
have a general idea of what is involved. Similarly with homework
problems.
When studying, try to avoid a "memorizing list of facts"
mentality. Instead focus on "filling in pieces of a puzzle." A useful
exercise might be to figure out for each theorem what previous theorems
are used in the proof. This will show the relationships among the various
ideas. It is easier to remember the ideas if they fit into some
framework.
You might also try filling one side of a sheet of paper
with all the most important ideas. Finished? Good. Now start over with
a half sheet of paper. When you have finished with that, try again with a
quarter sheet. Keep going...
Mathematics is a subject that is best
learned by doing. You might do well to try solving some extra problems...
Exercises: You should not rely exclusively on these problems for your
studying, but they can be a big help. | 677.169 | 1 |
Linear Equations Tutor
By Francesco Grassi
Description
Learn to solve linear equations. The app generates equations based on random numbers, therefore always different! For every exercise the complete solution to get to the result is also provided. In mathematics linear equations are the first step to more complex equations. For students it is very important to learn how to solve linear equations in order to continue successfully the study.
The complete solution of the equation can be shared as a picture or as LaTeX code (interesting option for teachers who want to create professional texts).
There are 4 levels of difficulty:
-Level 1: very simple equations are proposed here, they can be solved with a few easy steps
-Level 2: the equations become a little more complicated and require more steps to be resolved. | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
Maple for Algebra presents the standard concepts of post-secondary algebra from the perspective of a PC-based, interactive computer algebra system. Illustrated by pen and pencil exercises, the step-by-step instructions apply Maple to standard problems. The advantage of using computer algebra is shown by solving problems graphically and numerically prior to showing the exact analytic solution. Problem paradigms are given in Maple laboratory exercises. Similar problems can be solved by editing the Maple worksheet containing the base problem.
Synopsis
This essential guide shows how to use Maple, the PC-based computer algebra system, to solve all types of problems in algebra. To reinforce the standard concepts of post-secondary algebra, each topic is illustrated with pen and pencil exercises first, followed by clear, step-by-step instructions for applying Maple to solve common problems. 200 illus.
Synopsis
This book shows how Maple can be applied to solve problems in algebra. The emphasis is on the standard concepts of post-secondary algebra as they are illustrated by pen and pencil exercises, followed by step-by-step instructions in applying Maple to standard problems. The advantage of using computer algebra is shown by solving problems graphically and numerically prior to showing the exact analytic solution. | 677.169 | 1 |
Competition Math For Middle School
ISBN-10: 1441488871
ISBN-13: 97814414888 the gifted math student, the new math coach, the teacher in search of problems and materials to challenge exceptional students, or anyone else interested in advanced mathematical problems. Competition Math contains over 700 examples and problems in the areas of Algebra, Counting, Probability, Number Theory, and Geometry.Examples and full solutions present clear concepts and provide helpful tips and tricks."I wish I had a book like this when I started my competition career."Four-Time National Champion MATHCOUNTS coach Jeff Boyd"This book is full of juicy questions and ideas that will enable the reader to excel in MATHCOUNTS and AMC competitions. I recommend it to any students who aspire to be great problem solvers." Former AHSME Committee Chairman Harold Reiter"A wonderful collection for beginning problem solvers that shows why we need more teachers like Jason Batterson." Art of Problem Solving Founder Richard Rusczyk | 677.169 | 1 |
Center for Recruitment and Retention of Mathematics Teachers
University of Arizona¤
October 18, 2017
Using Mapping Diagrams to Make Sense of Functions and Calculus
Part I
Functions, Equations, Linearity
What was covered and the edge of Part II.
Abstract: Participants
will learn how to use mapping diagrams (MD) to make sense of functions
and relate these to materials taught in calculus and in preparing for
calculus.
A mapping diagram is an alternative to a Cartesian graph that visualizes
a function using parallel axes. Like a table, it can present finite
date, but also can be used dynamically with technology.
An overview of basic function concepts with MD's will begin the session using worksheets and GeoGebra.
Connections of MD's to key concepts in studying calculus and preparing
to study calculus will follow showing the power of MD's to make sense of
function concepts of measurement, rate, composition, and approximation
related to calculus.
Background and examples will be available at Mapping Diagrams from
A(lgebra) B(asics) to C(alculus) and D(ifferential) E(quation)s. A
Reference and Resource for Function Visualizations Using Mapping
Diagrams. | 677.169 | 1 |
Expanding the walls of our classroom. This is an interactive learning ecology for students and parents in my Applied Math 40S class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.
Tuesday, May 29, 2007
BOB
The unit that we just finished about periodic functions is not that hard. We just have to read the questions carefully and understand what each value in the situation means. Just remember the word "DABC", like what Mr. K. said to help us remember. Mr. K. mentioned that quadratic equations are used in the real world, for example in tides, temparature, etc. which I found interesting. I think i am understanding the unit pretty well, and I hope I'll do good in the test tomorrow. =) | 677.169 | 1 |
Week 1
Topics
The first week of the term is devoted to getting you oriented. We will get
everybody logged into MyMathLab for the first time, and show
you around a bit. If you want to do it on your own, use the instructions on Getting Started.
MyMathLab is where the online materials and all homeworks and tests reside.
That is where you will be spending most of your time in this class.
Before you do the assignments, you should review the listed algebra
topics in Appendix A of the book. The material should be familiar to all of
you, so we won't spend a lot of time on it during the class meeting. Students
in previous terms haven't had any problems with it. Specifically, the first homework will cover the following material:
Section A-5: Integer Exponents and Scientific Notation
Rules of working with integer powers; convert from standard to scientific
notation and back.
Section A-6: Subsections - nth Roots of Real Numbers and Rational Exponents
and Radicals
Converting between root notation and fractional power notation; practice
the rules of working with powers some more; these are the same rules as in
chapter A-6, but now the exponents are fractions.
Assignments
Read all the information in the course syllabus.
If it is spelled out there, you are supposed to know about it. There is too much information to absorb at a first reading, but read it through now, and go back to look up specifics later.
Use the instructions in class or in the Getting Started guide to create an account in MyMathLab, and log in.
Complete HW 0 on course policies. This homework has no math in it, only questions about the course policies. Read the syllabus once, try to do this homework. If you don't know an answer, find it in the syllabus. You cannot do any assignment (except for HW 1) until you have passed HW 0 with a score of 100%. This is to insure that you are aware of the most important course policies.
Complete the first homework assignment in MyMathLab. This covers
the material from appendix A, and section 7.2. The assignment is
due at the end of week 1. For this assignment we won't enforce the
deadline until the end of week 3, to accommodate people who add the course late, but you should get
used to doing assignments on time, anyway. | 677.169 | 1 |
Georg-August-Universität, Göttingen, Germany
Paperback
Manufactured on demand: supplied direct from the printer
$51.00 (P)
This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since then, many other classes of "zeta-function" have been introduced and they are now some of the most intensively studied objects in number theory.
Professor Patterson has emphasized central ideas of broad application, avoiding technical results and the customary function-theoretic approach.
Review
'This is a clear and concise introduction to the zeta function that concentrates on the function-theoretical aspects rather than number theory … The exercises are especially good, numerous and challenging. They extend the results of the text, or ask you to prove analogous results. Very Good Feature: Seven appendices that give most of the function-theoretical background you need to know to read this book. The Fourier Theory appendix is a gem: everything you need to know about the subject, including proofs, in 11 pages!'
Allen Stenger, Mathematical Association of America Reviews | 677.169 | 1 |
Anyone who hates real analysis wasn't cut out to be a math major. That's a fact. Engineering or physics, ok. But how can you love math but hate the rigorous study of the real numbers?
It depends...
When I first looked at real analysis I hated it and most textbooks made it feel really unmotivated. Now that I know what I'm doing though it isn't that bad.
Any tips on preparation? Surviving?
Don't start with Rudin. Apostols analysis book is pretty nice, try that.
Examples make your own examples and get some kind of picture of what is going on and look for alternative definitions for things. Funnily enough I can't think of any off of the top of my head right now but I remember when I first looked at the subject the definitions of certain kinds of sets seemed really artificial and pointless but after looking through different textbooks and different sources I found some better (but equivelant) definitions that got to the point of what the set is.
Once you've got the sets part down the functions and sequences part of it isn't really that hard.
I've never actually taken a course, but I've self studied it for about 7 months now. Granted, this is the only rigorous, proof based part of math I've ever done, but I've never enjoyed studying anything more than this.
I started with Understanding Analysis by Stephen Abbott, then I moved on to Principles of Real Analysis by Aliprantis and Burkinshaw. The Aliprantis book is much harder than the Abbott one, but I've managed to work through about half of it on my own thanks to the excellent preparation I got by studying from Understanding Analysis first.
So if you want a book to prepare you for your Analysis course, I strongly recommend you get Understanding Analysis. Basically, if you're willing to put in hours and hours of work into understanding stuff you don't get, and into doing hard problems, you'll be fine. | 677.169 | 1 |
HSC Mathematics
HSC Mathematics Mathematics the smart way with HSC Mathematics preparation courses at CCE, the University of Sydney. General 2 courses and provides consolidation of key content and skills from the Mathematics General Preliminary course. The topics covered in this course include algebra and equations, similar figures and trigonometry, and earning money and taxation. This Extension 1 courses and provides consolidation of key content and skills from fundamental topics in the Mathematics Extension 1 course. The program covers circle geometry, polynomials, further trigonometry, applications of differential calculus (including (2 Unit) courses and provides consolidation of the key content and skills from some important topics from the HSC Mathematics course. The course covers applications of differentiation (including curve sketching and maxima & minima problems), integration General 2 courses and provides consolidation of key content and skills from the Mathematics General 2 HSC course. The topics covered in this course include loans and annuities, equations and linear functions, and area and volume. This course is designed to Extension 1 courses and provides consolidation of key content and skills from important topics in the Mathematics Extension 1 course. The program covers proof by mathematical induction, parametric representation, methods of integration, and permutations Extension 1 courses and focuses on the harder topics from the HSC Course. The program covers inverse functions, harder applications of calculus, the binomial distribution, and further probability. Study skills and examination techniques will also be Extension 1 HSC Exam questions, reviewing past papers, and practising interpreting questions (2 Unit) courses and provides consolidation of the key content and skills from some demanding topics from the HSC Course. The course covers logarithmic & exponential functions, trigonometric functions and physical applications of calculus, including: rates of HSC Exam questions, reviewing past papers, and practising interpreting questions and planning...
[More] | 677.169 | 1 |
Description: In this book the trigonometrical ratios are introduced as functions of the angle. The trigonometrical properties of the single angle are treated fully in the early chapters, and from the beginning the examples apply Trigonometry wherever it may be useful, to Geometry, Mensuration, Analytical Geometry, Physical formulae, etc.
Similar booksA Semester Course in Trigonometry by Marcel B. Finan - Arkansas Tech University The text represents a serious effort to produce exposition that is accessible to a student at the freshmen or high school levels. The chapters of this book are well suited for a one semester course in College Trigonometry. (10323 views)
Dave's Short Course in Trigonometry by David E. Joyce - Clark University This website is a short introduction to Trigonometry by a professor at Clark University. It is very easy to follow, is full of animations and study problems for the reader to work through. You should already be familiar with algebra and geometry. (9253 views) | 677.169 | 1 |
Accelerated Geometry
Two Terms Grade 9, 10, 11 Elective
Prerequisite: Algebra I or math dept recommendation
This course will include all the topics in a regular geometry course but at a more rigorous level and pace. Students taking this course will be on sequence to continue college bound mathematics courses. The course includes material on coordinates, congruence and symmetry, measurements, area and volume. It integrates algebra with geometry and is rich in applications and problem solving. Formal and informal proofs and constructions are also covered. | 677.169 | 1 |
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Graphic Organizers help students to see the relationships in information. This graphic organizer is a comparison matrix. According to Marzano's research, making comparisons is a highly effective strategy.
In this organizer, students are analyzing the forms of the quadratic function for similarities and identifying key characteristics that are evident in the equations themselves.
In Algebra 2 I use this chart on the first day of our unit on Quadratics. I open class with a Desmos activity that provides them opportunity to explore quadratics, followed by a card sort (Quadratics: Forms of Equations Card Sort - see link below). After these exploratory activities, students are ready to complete the graphic organizer.
Consider asking students to work on the organizer independently for a few minutes. Then allow students to work with classmates for a few more minutes. After students have worked together, ask students to explain their responses. Finish by clarifying any misunderstandings. | 677.169 | 1 |
Mathematics of Turbulence Tutorials
Overview
The long program opens with four days of tutorials that will provide an introduction to major themes of the entire program and the four workshops. The goal is to build a foundation and common language for the participants of this program who have diverse scientific backgrounds. | 677.169 | 1 |
* free online
Originally published in 1939, this book forms the first part of a two-volume series on the mathematics required for the examinations of the Institute of Actuaries, focusing on elementary differential and integral calculus. Miscellaneous examples are included at the end of the text. This book will be of value to anyone with an interest in actuarial science and mathematics.
Written By Experienced IB Workshop Leaders, This Book Covers All The Course Content And Essential Practice Needed For Success In The Calculus Option For Higher Level. Enabling A Truly IB Approach To Mathematics, Real-world Context Is Thoroughly Blended Wi
This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, so that when students finish the course, they have a solid foundation in the principles of mathematical thinking. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. The authors' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader. | 677.169 | 1 |
Elementary Surveying: An Introduction to Geomatics (11th Edition)
For freshman and sophomore courses in surveying. This is a highly readable best-selling text that presents basic concepts and practical material in each of the areas fundamental to modern surveying (geomatics) practice. Its depth and breadth are ideal for self-study. The Eleventh Edition includes more than 400 figures and illustrations to help clarify discussions, and numerous worked example problems to illustrate computational procedures.
Specifications of Elementary Surveying: An Introduction to Geomatics (11th Edition) | 677.169 | 1 |
Saturday, September 12, 2015
A Friendly Introduction to Number Theory 4th Edition by Silverman PDF Download
A Friendly Introduction to Number Theory, Fourth Edition is
designed to introduce readers to the overall themes and methodology of
mathematics through the detailed study of one particular facet—number
theory. Starting with nothing more than basic high school algebra,
readers are gradually led to the point of actively performing
mathematical research while getting a glimpse of current mathematical
frontiers. The writing is appropriate for the undergraduate audience and
includes many numerical examples, which are analyzed for patterns and
used to make conjectures. Emphasis is on the methods used for proving
theorems rather than on specific results | 677.169 | 1 |
DESCRIPTION
Were you looking for the book with access to MasteringPhysics? This product is the book alone and does NOT come with access to MasteringPhysics. Buy the book and access card package to save money on this resource. Walker's goal is to help students make the connection between a conceptual understanding of physics and the various skills necessary to solve quantitative problems. The pedagogy and approach are based on over 20 years of teaching and reflect the results of physics education research. Already one of the best-selling textbooks in algebra-based physics, The Fourth Edition strengthens both the conceptual foundations and the tools for problem solving to make the book even better suited to today's students.
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Calculators
WolframAlpha is so powerful (and not only for Mathematics) it deserves pages of its own. There are several links available and also slideshows to help you learn to use WolframAlpha. (WolframAlpha is still entirely free to use and so useful for teachers and students, though a new Pro option is now also available).
Using WolframAlpha widgets makes it possible to set up widgets for repeated use, older students for example need to solve absolute value equations.
To highlight a few of the calculators I have used recently. For students studying quadratic equations this calculator which shows the use of the quadratic formula from Math Warehouse is very useful as it shows full working on how to use the formula.
The graphing calculator I return to again and again is the Desmos graphing calculator, for example I was recently studying the modulus function with my sixth form students, looking at modulus equations and inequalities a picture speaks a thousand words! (Just type y=abs…) | 677.169 | 1 |
Algebra and Trigonometry: Graphing and Data Analysis
The goal of this book is to provide a solid mathematical foundation via visualization of real world data. This book uses technology as a tool to solve problems, motivate concepts, explore and preview mathematical concepts and to find curves of best fit to the data. Most mathematical concepts are developed and illustrated both algebraically and graphically, with the more intuitive and appropriate method presented first. The authors use their extensive teaching and writing experiences to guide and support readers through the typical difficult areas. | 677.169 | 1 |
Further Mathematics A Level
Introduction to the Course
Mathematics is the science of number, quantity and space. AS and A2 are the further development of GCSE concepts to allow problem solving in the real world. Further Mathematics is divided into Pure, Decision and Further Statistics. The full Advanced Level qualification is a two year course which consists of the AS and A2 courses.
Entry Requirements
Standard entry requirements including: grade 8 at Higher Tier in GCSE Mathematics. You will also need to be studying A Level Mathematics.
Students need to enjoy the subject and must have a positive attitude and be prepared to work consistently. Students need to be aware that Mathematics is not an easy option.
There are two papers sat at AS Level which are weighted 50% each and are marked out of 80. There are four papers sat at A Level which are weighted 25% each and are marked out of 75; there is no coursework.
Future Career Progression
You will be able to combine Further Mathematics with any other subject; recent research shows that people with A level Mathematics (any grade) earn, on average, 10% more than those without. Further Mathematics is ideal for those wishing to study Mathematics, Physics, Computer Science or Engineering at University | 677.169 | 1 |
· Includes charts, graphs, and tables to help at-risk students achieve standards in math
"synopsis" may belong to another edition of this title.
Book Description:
Not all students succeed in math with traditional teaching methods. Some individuals simply need the lesson presented in a different manner in order to achieve a comprehension "breakthrough." With the right approach, almost any student can grasp the vital concepts of basic math, algebra, or geometry.
About the Author:
Linda Ptacek is a recently retired classroom teacher with 35 years experience teaching at the secondary and postsecondary levels. | 677.169 | 1 |
Linear Algebra: Challenging Problems for Students
Synopses & Reviews
Publisher Comments
Working problems,writes Fuzhen Zhang in the preface, is a crucial part of learning mathematics. A good problem should be one through which one learns methods, uses techniques, and gains insights into the subject. The reader should find the collection of 200 problems in this book diverse, interesting, and challenging.
Linear Algebra: Challenging Problems for Students is a supplementary text for undergraduate and first-year graduate students majoring in mathematics, statistics, engineering, or related areas. The book will also be helpful for instructors teaching linear algebra and matrix theory. Based on the author's ten years' experience in teaching and research, it presents 200 problems of varying difficulty ranging from elementary to some which may baffle even professional mathematicians. Hints and solutions for all problems are found in the second half of the book.
Concise and clearly written, the problems in Linear Algebra are interesting, challenging, and up-to-date. This book will be of interest to students seeking to do further work in linear algebra on an independent basis, to those wishing to refresh their knowledge of the subject, and to those in seminar-style advanced linear algebra courses. | 677.169 | 1 |
This text prepares students for future courses that use analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced students while encouraging and helping weaker students. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind the mathematics and enabling them to construct their own proofs.
Designed as a "bridge" between sophomore-level calculus to graduate-level courses that use analytic ideas, this text provides an unusually friendly, but rigorous treatment. It is friendly because the text helps link proofs together in a way that teaches students to think ahead: "Why this Theorem?"
From the Back Cover :
>>>>
This text prepares readers for fluency with analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced readers while encouraging and helping readers with weaker skills. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing readers the motivation behind the mathematics and enabling them to construct their own proofs.0132296380 | 677.169 | 1 |
Mathematical Insights in Computing
Description
The existence of logical paradoxes, the mathematics of infinity, the possibility of DNA computing: We will tackle these and many other curiosities as we delve into fascinating results from theoretical computer science, the mathematical exploration of what computers can and cannot do.
Come learn how you can use prime factorization to encrypt your secrets, why there are some problems that no computer can ever solve, and what makes "This sentence is false" the surprising centerpiece of an intriguing theorem. We will explore programs that can output their own source code, debate philosophical questions in artificial intelligence, and learn about the legendary unsolved problems that have left modern theoretical computer scientists still puzzling.
Expect an exciting mixture of mathematics, philosophy, and theoretical computer science, with a focus on solving and understanding problems.
Please note that we will only study theoretical computers. Although this class will cover information that is essential for a future computer scientist to know, it will not teach programming. On the flip side, programming experience is not required.
For the application...
Prerequisites
Two years of high school algebra and precalculus, or equivalent knowledge.
Relevant experience
Please list the most advanced mathematics classes that you have taken, indicate your grades, and indicate whether they were honors, AP, IB, or equivalent.
Please also indicate any experiences that you have related to computer programming, mathematics, or problem-solving. School activities, books you've read, classes you've taken, hobbies and projects that you've done – anything you think is relevant.
Core-specific application question
The application question for this class consists of multiple parts. You should provide responses to all parts. These are designed to require some thought, so don't be discouraged if it takes you a while to come up with good answers. You can do it!
Part 1. You Give Me a Puzzle
Tell me a good math problem or logic puzzle that you have come across, one that you that really got you thinking, wondering, and exploring. Write as if you were describing the problem to a fellow student and include enough detail for someone else to understand and try to solve your problem.
Part 2. I Give You a Puzzle
You have a simple scale—it has two sides, into which you can place rocks to weigh them. The scale tells you whether the two sides are equal, or, if they aren't equal, which side is heavier.
There is also a store that sells Standard Rocks of known weight; there are rocks of weight 1 ounce, 2 ounces, and so on, all the way up to 40 ounces (and they have many rocks of each weight). Regardless of weight, each Standard Rock costs $10.
I give you a Mystery Rock of unknown weight; all you know is that it weighs an integer number of ounces between 1 and 40, inclusive. Your goal is to purchase as cheap a set of Standard Rocks from the store as possible, and use that set of rocks and your scale to find the weight of the Mystery Rock precisely, down to the last ounce.
You can only visit the store once, and must buy only one set of rocks that works for any Mystery Rock I give you to weigh. However, you can use your scale as much as you like.
As your answer, tell me which Standard Rocks you would buy, describe what procedure you would use to identify the weight of the Mystery Rock, and explain your reasoning. Try to spend as little money as you can: $60 or $50 are reasonable solutions. For a challenge, try for $40.
Don't be alarmed if this problem takes you a while to solve; you can do it! | 677.169 | 1 |
Description: Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach to Calculus. It focuses primarily on explaining the central theories and warns students of the areas where mistakes are traditionally made.
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Active Calculus by Matt Boelkins - Grand Valley State University Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. (1876 views)
A Summary of Calculus by Karl Heinz Dovermann - University of Hawaii The author introduces limits and derivatives, provides some rules for their computations, discusses some properties of differential equations, geometric properties of graphs, introduces the ideas of the definite and the indefinite integral, etc. (8988 views)
Calculus for Mathematicians, Computer Scientists, and Physicists by Andrew D. Hwang - Holy Cross The author presents beautiful, interesting, living mathematics, as informally as possible, without compromising logical rigor. You will solidify your calculational knowledge and acquire understanding of the theoretical underpinnings of the calculus. (6983 views) | 677.169 | 1 |
Description
The main objective of the conference is to bring mathematicians, industrialists, computer and IT technocrats etc. from different parts of the country together on one platform to interact with each other, exchange views and discuss the topi | 677.169 | 1 |
Math 609: Mathematical Methods for Systems Biology
Background and Goals:
Intended to provide a rigorous foundation for mathematical modeling of biological systems. Mathematical techniques include dynamical systems and differential equations. Applications to biological pathways, including understanding of bistability within chemical reaction systems, are emphasized. | 677.169 | 1 |
Medical student interested in mathematics
Hey guys- I know many of you may not be in medical school- but I'm interested in rekindling my math knowledge- mainly to expand my options as a future researcher. I just finished my second year- and this upcoming year, based on rudimentary calculations I should have 4-5 hours of time after hospital work everyday. My question is, what can I accomplish reasonably to learn?
I am interested in probability - I'd like to get to the level of nonlinear dynamics, probability theory- stochastic processes, random walk processes. I'd like to get the basics of math down as well- like a fundamental understanding of topology, linear algebra, nonlinear, combinatorial mathematics...
I don't know how much of this I can accomplish but I was wondering what would be reasonable and where to start?
Like I said- 5 hours a day of time+ maybe 1 of the weekends. I have a year of this available- fourth year I can add more time but its dependent on what I accomplish now.
My end goal is to apply this mathematical knowledge to better understanding neuroscience- and I believe a strong understanding in probability and the application of math at an advanced level is necessary...
But I'm not sure what kind of realistic expectations I can have.
Background: I am a medical student. I'm no math genius- but very capable of learning. My extent of mathematical education was differential equations in my senior year of high school...since then haven't touched it.
One guess is that in a year, you could do at most the equivalent of four 1 semester courses. That's my estimate at what a beginning undergraduate math major would do. So, what would a math major take if he placed out of differential equations? I suppose he'd take a semester of vector calculus, a semester or two of linear algebra and one other semester of something - perhaps topology or probablity. However, I don't know what the current math circulum is like. If you have an idea of a university where you'd like to do research, look at their undergraduate course catalog. | 677.169 | 1 |
Grade 11 - Texas Mathematics
Algebra II (Credit: 1.00)
Algebra II is a full-year high school course that is intended for the student who has successfully mastered the core concepts covered in the prerequisite course, Algebra I. Within this course, students will broaden their knowledge of quadratic and exponential functions, as well as systems of equations and inequalities. In addition, students will study logarithmic, square root, cubic, cube root, absolute value, rational, and inverse functions and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. Lastly, students will extend their knowledge of data analysis and numeric and algebraic methods. Students must have taken Algebra I as a prerequisite to this course. | 677.169 | 1 |
In depth advice on many aspects of taking a college math class from professors. These aspects include note-taking and studying, doing homework, studying and taking exams, and reading and understanding mathematics.
"The only way to learn mathematics is to do mathematics." ~Paul Halmos | 677.169 | 1 |
So You Want to Take Physics A Preparatory Course With Algebra and Trigonometry
by Rodney Cole1. Keeping It In The Ballpark. 2. A Visit To Lineland. 3. Those Special Functions. 4. Elements of Approximation and Graphing. 5. Probability and Error. 6. Return to Lineland. 7. Vectors, Displacement, and Velocity. 8. Life On A Sphere. 9. Force | 677.169 | 1 |
Presents college algebra, analytic geometry, trigonometry, and algebraic,
exponential, and logarithmic functions. The general purpose of this
course is to prepare the student for a course in a rigorous calculus
sequence by providing them with the necessary competencies in algebra,
functions, and analytic geometry, as well as competence in using a
graphing utility. This course prepares students for MTH 173-4. | 677.169 | 1 |
Description: The book emphasizes the computational aspects of modern abstract algebra. Author has integrated the software Mathematica into the discussions -- especially in the group theory sections -- but is careful not to make any logical reliance on this software.
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Advanced Algebra by Anthony W. Knapp - Birkhäuser This book includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. (848 views) | 677.169 | 1 |
Combinatorial Reasoning: An Introduction to the Art of Counting Set
Combinatorial Reasoning: An Introduction to the Art of
Counting and Solutions Manual
Written by two well-known scholars in the field,
Combinatorial Reasoning: An Introduction to the Art of
Counting presents a clear and comprehensive introduction to the
concepts and methodology of beginning combinatorics. Focusing on
modern techniques and applications, the book develops a variety of
effective approaches to solving counting problems.
Balancing abstract ideas with specific topical coverage, the
book utilizes real world examples with problems ranging from basic
calculations that are designed to develop fundamental concepts to
more challenging exercises that allow for a deeper exploration of
complex combinatorial situations. Simple cases are treated first
before moving on to general and more advanced cases. Additional
features of the book include:
• Approximately 700 carefully structured problems designed
for readers at multiple levels, many with hints and/or short
answers
• Numerous examples that illustrate problem solving using
both combinatorial reasoning and sophisticated algorithmic
methods
• A novel approach to the study of recurrence sequences,
which simplifies many proofs and calculations
• Concrete examples and diagrams interspersed throughout to
further aid comprehension of abstract concepts
• A chapter-by-chapter review to clarify the most crucial
concepts covered
Combinatorial Reasoning: An Introduction to the Art of
Counting is an excellent textbook for upper-undergraduate and
beginning graduate-level courses on introductory combinatorics and
discrete mathematics
Solutions manual to accompany Combinatorial
Reasoning: An Introduction to the Art of Counting
Written by well-known scholars in the field, Combinatorial
Reasoning: An Introduction to the Art of
Counting introduces combinatorics alongside modern
techniques, showcases the interdisciplinary aspects of the topic,
and illustrates how to problem solve with a multitude of exercises
throughout. The authors' approach is very reader-friendly and
avoids the "scholarly tone" found in many books on this topic | 677.169 | 1 |
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Product Description
This bundle contains three products:
1. Using Properties of Logs Check Point
- A brief checkpoint to uses properties of logs to condense and expand log functions. The short assessment also requires students to evaluate logs for important features, i.e. x-intercepts, asymptotes, other domain values.
2. Use Exponential Models and Solve a Contextual Problem with Logarithms
- This assignment is a contextual problem solving activity using logs and exponential functions to model radioactive decay and half-life.
3. Relating Logs as Inverses to Exponential Functions
- Students use transformations on a same base parent function to graph a log and explore its domain and range. Students also find an inverse for the log function and show how qualities of the inverse relate to qualities of the original function.
*These activities are sold separately in my store or together (here) at a discounted price.* | 677.169 | 1 |
Main menu
Solving Equations and Problems
Category:
K-12 Curriculum
Sessions:
1
Hours:
3
SKU:
TS120151
$75.00
Course Description:
This course is designed to help students who need to sharpen their skills or as a resource that teachers can employ to help struggling students stay up to speed. Energetic and enthusiastic Professor Terry Caliste teaches students step-by-step to first simplify the equation or problem, solve the equation using one step or two, and how to solve equations with a variable on both sides of the equation. At the conclusion of this course, students will be able to write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency | 677.169 | 1 |
Product Description
This class is very important for students who need to brush up on their algebra skills before entering Algebra 2 or Honors Algebra 2 in the coming school year. Students will review essential concepts from Algebra 1 while learning how these concepts are used in related math and science courses. The following Algebra 2 topics will be introduced: function analysis, systems of equations, and polynomial equations | 677.169 | 1 |
Mathematics Classes
Advanced Mathematics/Pre-Calculus
The integration of geometry, algebra, and trigonometry is the goal of pre-calculus. Detailed study of polynomial functions, exponential and logarithmic functions, trigonometric functions, analytic geometry, systems of equations, sequences, and probability constitute the core of the class. Students can be expected to model natural and man-made phenomena using material in the course. Limits of functions and a basic introduction to derivatives are the threads that tie pre-calculus to the full study of calculus.
Algebra I
Algebra is the study of numerical patterns and their abstract representations. Students represent and analyze these patterns using functions, operations, tables, and graphs. Equations in one variable, equations in two variables, simultaneous equations, polynomials, factoring, quadratic equations, and number sequences are some of the topics.
Algebra II
This course is intended to build upon the concepts developed in geometry and Algebra I. The course covers advanced topics in algebra such as polynomials and their graphs, division of polynomials, composite functions, zeros of polynomial functions, exponential and logarithmic functions, systems of equations, imaginary and complex numbers, and trigonometric functions. The properties of matrices and determinants will be covered also.
Students are encouraged to perform calculations by hand and electronic methods. Topics in this course are important for the SAT and other college entrance exams.
Geometry
Geometry is the study of the properties and relations of points, lines, surfaces, and solids. Deductive reasoning will be used to understand lines, angles, congruence, quadrilaterals, area, circles, polygons, and other geometric solids. Geometry is a basis for more advanced studies in algebra and pre-calculus. An understanding of geometry is important for the SAT as well as for a host of practical hands-on crafts.
Pre-Algebra
Students learn the basics of algebraic thinking while honing fundamental math skills. Students learn algebraic language and concepts. During the course they expand their ability to independently apply algebraic reasoning using real numbers, exponents, variables, ratios, proportions, equations, and inequalities. | 677.169 | 1 |
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I found the Algebrator helpful. I still have a lot to learn about using it. I do believe it was worth the money I paid for it. I have one more math class to take and I am sure I will put the Algebrator to good use then! P.W., Illinois Barbara, LA09-16:
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How is doing operations¿adding, subtracting, multiplying, and dividing¿with rational expressions similar to or different from doing operations with fractions? Can understanding how to work with one kind of problem help understand how to work another type? When might you use this skill in real life? | 677.169 | 1 |
The purpose of this study is to investigate the description of the radian from the textbook implying two-fold comprehensive properties and the comprehension of students of the two very properties of it : an angular property and a property of pure numbers.
1. In 2007, Mathematics curriculum has been revised, and along with that, so did the high school math textbooks. This raises a very interesting question. How are the two properties of the radian above introduced to high school textbooks?
2. How well do the second graders in high school recognize and understand the property of the radian as a pure number and the principle of Trigonometric functions?
In order to solve the first question, the lessons on the radian from the eighteen kinds of math textbooks for high school students, based on the revised 2007 curriculum of mathematics, are analyzed by comparing each one of them. In the fourteen kinds of the textbooks, one radian is defined only when the length of a radius is the same with that of an arc, that is, an angular property. Also, expressing the angular width with the property of the radian, which is also named the circular measure, is fully described in the textbook. The remaining four textbooks, unlike the first group of textbooks, deal with not only the above mentioned concept, but also with a property of pure numbers when explaining the radian. This can be highly noticeable, which distinguishes between the two groups.
In order to resolve the second task, 160 students who are focusing on the science course at B high school were asked to answer some questions as to how apprehensible the basic concept of a radian is and how comprehensible the trigonometric function is to them. The result was as follows: only 15.6 % of the students recognized the property of a radian in terms of a pure number. Moreover, it was just 5.6 % of the testee that were aware of the angular property and applied it when solving the questions.
From the result of the research conducted, it is visible that in the actuality there are many students who hardly understand what a radian signifies, but still work out the questions on the radian and the trigonometric function. What is worse, some students are still confused with an angle and a radian. Also, they misunderstand that is used only for a radian. Because of the lack of understanding when it comes to the properties of a radian, students have the tendency of grouping angles into rational numbers () or irrational ones. What's even more surprising is that these students failed to compare the angle of sin1 and sin2. Moreover, there are much fewer students who are aware of the reason why circular measure should be used with the unit of a radian. Also, few students are able to grasp and express the concept of trigonometric function clearly.
In order to facilitate the students comprehend the two properties of the radian, two conditions should be fulfilled : the specification of both properties of the radian on the textbook and repetitive, understandable explanation tailored for the students' level
Then, they will be able to grasp the radian and approach the trigonometric function with it.;본 연구의 목적은 각의 크기 단위와 동질량의 비라는 이중적 성질을 가지는 라디안에 대하여 교과서 서술과 학생들의 인식을 조사하고자 하는데 있다. 이를 위하여 다음과 같은 연구 문제를 설정하였다.
1. 2007 개정 수학과 교육과정에 따라 새로 개정된 고등학교 수학 교과서에서는 라디안의 두 가지 성질을 어떻게 도입하고 있는가?
2. 고등학교 2학년 학생들의 동질량의 비로서 라디안 정의에 대한 인식 슔 어떠한가?
'연구문제 1'을 해결하기 위해 2007 개정 수학과 교육과정에 따른 18종의 고등학교 수학 교과서에서 호도법 단원을 비교 분석하였다. 그 결과 14종의 교과서에서는 반지름의 길이와 호의 길이가 같을 때를 1라디안으로 정의하고 이러한 라디안을 사용하여 각의 크기를 나타내는 것을 호도법으로 정의하였으나 나머지 4종의 교과서에서는 약간의 차이가 있으나 1라디안을 정의하고 라디안을 단위로 하여 각의 크기 단위를 나타내는 방법을 호도법으로 정의하면서 반지름의 길이에 대한 호의 길이의 비로서의 라디안인 동질량의 비로서의 라디안의 성질을 명시하였다.
'연구문제 2'을 해결하기 위해 B 고등학교 2학년 자연반 학생 160명을 대상으로 동질량의 비로서 라디안 정의에 대한 인식쥼 검사지를 통해 조사하였다. 그 결과 동질량의 비로서의 라디안의 정의를 알고 있는 학생의 비율은 15.6%로 낮으며 각의 크기 단위로서의 라디안의 정의를 알고 활용하는 학생의 비율도 5.6%로 낮았다. 선행연구에서 살펴본 바와 같이 학생들은 라디안의 정의를 명확히 알지 못하고 라디안이나 삼각함수 문제를 다루고 있었으며 도()와 라디안을 혼동하여 사용하거나 를 라디안 단위에서 사용하는 것으로 인식하는 학생들이 많았다. 그래서 호도법에서 나타낸 각을 무리수나 (:유리수)형태의 집합으로 생각하기도 하였으며, 과 의 크기 비교가 서툴렀다. 또한, 라디안을 단위로 하는 호도법을 사용하는 이유에 대해 알고 있는 학생들은 적었으며, 삼각함수의 정의를 명확히 서술할 줄 아는 학생들은 거의 없었다.
이중적 성질을 가지는 라디안을 학생들이 이해하기 위해서는 교과서에서 두 가지 성질을 모두 명시하고 수업 중 반복적으로 설명한다면 학생들이 라디안을 이해하고 삼각함수를 학습 하는데 도움이 될 것이다. | 677.169 | 1 |
This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at largeThis—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts.
The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical concepts to areas like national security, homeland security and law enforcement, enterprise and e-government services, personal information and business transactions, and brain-like computers are also highlighted. | 677.169 | 1 |
GeoGebra is a complete and efficient educational software to learn and teach mathematics on Windows and adapted to different educational levels and purposes
Mathematics is one of the hardest subjects at school as you probably know. Almost all students of all levels have had problems with maths at some point. On some occasions, it's simply due to the wrong approximation to the subject, but having the correct resources could help to overcome this obstacle. GeoGebra is precisely a software designed to contribute towards teaching this science, adapted to all levels and that gathers different functions on the same easy-to-use interface.
To talk about its origin, we have to go back to the year 2001, with the first version of the app developed by Markus Hohenwarter. He believed in the development of an open source project that any member of the educational community could download for free, provided that he or she didn't want to use it with a commercial purpose.
Powerful software to learn and teach maths.
Later on, and thanks to different crowdfunding campaigns on platforms of the likes of Kickstarter, the software was launched as a desktop version for Mac, Windows PC (both as a standalone as well as an extension for Google Chome) and Linux, as well as a mobile version for Windows and Android tablets and iPad, and an APK for Android smartphones.
Supporting the teaching of maths
We can't forget that other sciences such as technology, engineering, computer science or physics are all based on maths. That's why it's so important that this program brings together different functions aimed at studying and learning about geometry, algebra or statistics.
It comes along with 6 different views that include all the study options and features that it's capable of offering:
2D graphical view: it allows us to carry out geometrical constructions and operations between objects. Here you'll also find out how to draw functions and represent different data visually.
Algebraic view: to represent algebraically or numerically objects present in other views of the program.
3D graphical view: as well as the objects represented in the 2D view, it's compatible with planes, spheres, cones, polyhedra and two-variable functions.
Spreadsheet view: template with cells organized into rows and columns to input and process numerical data. It comes along with tools for the statistical treatment of data.
Statistics and probabilities view: to represent different probability distribution functions and to calculate the latter in certain time intervals. It incorporates a calculator for statistical tests.
Some of the features of this software can be somewhat complex, it obviously depends on the level at which you're working. That's why it's always handy to get hold of any of the different official guides and tutorials to learn how to use it.
You can download it for free and in almost any language since it has a large user community that takes care of contributing towards its translation. That's quite common in open-source projects such as this one so you shouldn't have to worry about how much it costs unless you want to use it for commercial purposes | 677.169 | 1 |
MTH 111 Precalculus
Summer II 2013
Description:
The primary aim of MTH 111 is to prepare students for further study in mathematics, basic sciences, or engineering by providing an introduction to functions, properties of functions and various types of functions. MTH 111 is an intense preparation and lays the groundwork for the Calculus sequence at URI.
Thus MTH 111 is aimed at the student for whom it will be the first of an important
series of courses rather than a last math course.
Non-URI students should be sure to have prior approval from their
own schools to guarantee that credits will transfer.
Textbooks:Just-In-Time Algebra and Trigonometry (3rd Edition), Mueller and Brent. Fundamentals of Precalculus (2nd edition), Dugopolski,
with MyMathLab access code.
(Note: These two texts are packaged together in the bookstore. You will need
both of them. )
Prerequisites: You are expected to have a reasonable grasp of the two years of
high school algebra and elementary trigonometry.
Read the information sheet.
Accommodations: Any student with a documented disability
is welcome to contact me as early in the semester as possible so that
we may arrange reasonable accommodations. As part of this process,
please be in touch with Disability Services for Students Office at 330
Memorial Union, 401-874-2098. | 677.169 | 1 |
Saxon Math, a Homeschooler's Guide
I have extensive experience with Saxon Math as well as being mathematics individual; I've come to the conclusion that Saxon is the best math program for early math. I consider early math to be pre-geometry or algebra. Saxon provides a strong foundation and as the child gets older, they may be able to do their own math lesson. Saxon does lose appeal with the higher mathematics such as algebra, geometry and so on.
The math program reinforces concepts the the youth learned from previous lessons by re-introducing the concept in the lesson problems section. This method is a great foundation builder and helps to reinforce what is learned.
I do recommend the youth answer all of the math problems and not only a few. Repetition enforces what you learn. The youth should be able to complete all of the math problems in under an hour. Actually, I believe thirty minutes should do it. Follow through with the lesson problems and practice problems. These are vital for a youth's education. By building a strong base, they become strong within themselves.
Mathematics is a subject that must begin early. Yes, there are ideas out there that do not enforce an early learning of math. This is a mistake especially if the youth would like to enter science fields. I encourage all parents to begin the math early and to complete the book. You would not build a house on an incomplete foundation. Why construct an incomplete foundation for your child. | 677.169 | 1 |
Mathematics for Scientific and Technical Students
<P>This book covers all the basic mathematical concepts and techniques required in the study of scientific and technical courses at GNVQ/A level and technician level. It is ideal as a bridging text for degree courses and introduces students to more advanced mathematics encountered in higher education.</P> | 677.169 | 1 |
. N° de ref. de la librería BY021825
help students a thorough understanding of the meaning of problems. problem-solving skills to master quickly. For each topic selected exercises of varying difficulty. divided into basic standards. the ability to upgrade and expand innovative three levels to help students consolidate what they have learned. step by step to improve problem-solving skills. Contents Chapter several. the firs | 677.169 | 1 |
In addition to "stuff to play with" on the web (a Graphing Applet (for exploring slope and intercepts of straight lines), a Prime Factorization Machine, a Prime Number List, a Quadratic Equation Solver, and a Quadratic Function Plotter), this book's full text is available. It presents "The Numbers of Arithmetic" (the basics - an introduction to the real numbers, addition and subtraction, order of operations, fractions, decimals, and percents); a general Introduction to Algebra; Word Problems; Graphing and Straight Lines; Systems of Linear Equations; Polynomials; Rational Expressions; Exponents and Roots; and Quadratic Equations. You can also buy the book through a link on this site. Available at too. | 677.169 | 1 |
1001 Calculus Practice Problems For Dummies takes you
beyond the instruction and guidance offered in Calculus For
Dummies, giving you 1001 opportunities to practice solving
problems from the major topics in your calculus course. Plus, an
online component provides you with a collection of calculus
problems presented in multiple-choice format to further help you
test your skills as you go.
Gives you a chance to practice and reinforce the skills you
learn in your calculus course
Helps you refine your understanding of calculus
Practice problems with answer explanations that detail every
step of every problem
The practice problems in 1001 Calculus Practice Problems For
Dummies range in areas of difficulty and style, providing you
with the practice help you need to score high at exam time.
Patrick Jones has a master's degree in mathematics
from the University of Louisville and has taught at the University
of Louisville, Vanderbilt University, and Austin Community College.
Jones now primarily spends his time expanding his YouTube video
library as PatrickJMT and has amassed more than 280,000
subscribers | 677.169 | 1 |
Project Department:
Project Body:
CHAPTER ONE
INTRODUCTION
1.1 Background of the Study
It is widely believed that mathematics is very important to the economic, scientific and political development of any nation. It is because of this common phenomenon that made every nation in the world to make mathematics a compulsory subject in every aspect of educational system.
The principles of mathematics are generally understood at an early age. When missed, it give birth to anxiety which includes a feelings of tension, apprehension or fear that interferes with mathematics performance. Mathematics anxiety is a phenomenon that cuts across some students in secondary schools because they tend to miss its principles.
Umionyang (1997), referred to mathematics as the foundation for science without which a nation can never be prosperous and economically independent. He further noted that competence in mathematics provides many of the opportunity for personnel required by industry, science, technology and education. Considering the contributions of mathematics to the contemporary world, one would have expected mounting interest on it as a discipline that is truly the language of science and technology but the reverse seems to be the case.
From a personal study carried out, there is poor performance in mathematics examinations. It is ironical that in our pre-science and technologically-oriented world, the youths who would have taken charge of global affairs in the future; the running of industries and the means of production, research laboratories, space technology and international politics are shying away from the very subject that should have adequately prepare them for such roles. The student's flight in the secondary school is very alarming.
We are cognizant of the historical facts that the old indigenous cultures were pacesetters in mathematics and subsequently, made notable scientific discoveries. In Nigeria and Edo State in particular, the students performance in mathematics in secondary schools has continuously reflected poor performance over the years and this perhaps, could be attributed to the various problems associated with the teaching and learning of mathematics in secondary schools,
According to Uwadiae (2009) quoted in punch newspaper, 2009 that seventy seven percent (77%) of the candidates who sat for 2008 West African School Certificate Examination failed to get credit in mathematics. In view of this National challenge, this study sought to find out what could have influenced the problem, since mathematics was introduced into the syllabus with proper study, so many problems have been confronting effective teaching and learning of mathematics like
The attitude of students towards the learning of mathematics.
Unqualified teachers or using non- mathematics specialists to teach the subject in some Nigeria schools.
Lack of learning facilities e.g. mathematics laboratories in school.
Lack of appropriate method of teaching mathematics.
Overcrowding of mathematics syllabus.
The problems associated with teaching and learning of mathematics is seen from the lukewarm attitudes of some mathematics teachers and their ineffectiveness in mathematics education. Lack of student-teacher relationship has also been seen in the environment in which teaching and learning is conducted.
Teaching and learning of mathematics in secondary schools is very essential, no doubt because, it is regarded as a yardstick in the development of any nation.
1.2 Statement of the Problem
The importance of mathematics to the world and to a nation's technology breakthrough has been highlighted in the foregone section. This has been the reason why mathematics is given prominence in the school curriculum and timetable. However, in Edo State, the teaching and learning of mathematics have not been without problems. For some time now, there has been a growing concern over the poor teaching and learning of mathematics with the resultant [poor and falling standard in secondary schools' student performance in mathematics. The West Africa Senior School Certificate Examination and other related examination body recognized in Nigeria have always indicated decrease in number of passes.
In addition, students are likely to attend schools that are poorly constructed with inadequate teaching and learning facilities. The curriculum with an overcrowded syllabus. Most mathematics teachers lack teaching affective characteristic and insufficient teacher training program. On the side of students, is loss of interest in learning mathematics and the teachers not showing enough motivation to arouse student's interest in learning mathematics?
To what extent would all these problems of teaching and learning mathematics affect student performance in mathematics education? All these prompted the researcher to identify problems of teaching and learning of mathematics in some selected schools in Ovia North East Local Government Area of Edo State.
1.3 Purpose of the Study
The main purpose of this study is to find out the problems of teaching and learning of mathematics in Nigerian schools by considering;
The qualities of teachers teaching mathematics in Nigeria schools.
The activities of students toward learning of mathematics in Nigeria schools.
The factors militating against effective utilization of available instructional materials in the teaching and learning of mathematics.
It is the intention of the researcher to study the problems associated with the teaching mathematics in addition, the reasons behind the students' failure of mathematics and lack of interest in the subject will be elucidated upon during the course of this research work.
1.4 Significance of the Study
The need for this research is to elicit useful information that could be the problems associated with teaching and learning of mathematics in secondary schools. Not until useful ideas to the problems militating against mathematics education is unraveled, through a research of this kind, we will not be able to suggest useful and workable solutions to the problems.
The research will be of help to policy makers in education, in review of curriculum development and implementation, proper repositioning of teacher training program and also be of help to teachers as it will expose areas where the teachers need to put more efforts in the teaching of mathematics. It will further help teachers in employing better techniques and methods of teaching to the best understanding of the students. In addition, the findings of this research will help students concerned to appreciate the subject mathematics, expose the importance of mathematics, the wonders, fun and happiness it gives thereby encouraging them to put in more effort and to remove every negative sentiments, and fear students have towards the study of mathematics.
The study is an eye opener to the general public in making people see the usefulness of mathematics in day to day activities and the indispensible contribution of mathematics in nation building. It makes the society have a grasp of their action and inaction towards mathematical education.
1.5 Scope of the Study
This study is a quantitative survey that will cover five secondary schools selected in Ovia north East Local Government Area of Edo State. Both sexes of teachers and students shall be used as subjects to get information on the teaching and learning of mathematics through a self-report instrument (questionnaire).
1.7 Research Question
The following research questions are put forth to guide the researcher in this study:
Do mathematics teachers have the required qualification to teach mathematics effectively?
Are there enough teaching aids to teach mathematics effectively?
Is the mathematics syllabus overcrowded?
To what extent does the environmental influence affect the performance of student in learning mathematics?
How do students perceive mathematics as a student?
1.8 Definition of Terms
Problems: This can be seen as obstacle that is hindering the effectiveness of a thing.
Teaching: This is the process of imparting knowledge
Learning: This is a process whereby there is a relative permanent change in behaviour due to impartation of knowledge.
Academic Qualification: Is an academic skills quality or attribute that make somebody suitable for a teaching job.
Teacher Experience: This is a kind of skill acquired through being involved in teaching over a period of time.
Teaching Techniques: Is the procedure or skill required to impart mathematics knowledge to the student.
CHAPTER ONE INTRODUCTION We are living in a world that is rapidly progressing scientifically and technologically. The economic well being of any developing nation depends to a significant extent on h...Continue reading »
CHAPTER ONE 1.1. INTRODUCTION From the beginning of time man has been interested in the rate at which physical and non physical things change. Astronomers, physicists, chemists, engineers, business | 677.169 | 1 |
Education has become one of the fastest growing application areas for computers
in general and computer algebra in particular. Computer Algebra Systems (CAS)
make for powerful teaching and learning tools within mathematics, physics,
chemistry, biology, economics, etc. Among them are: (a) the commercial "heavy
weights" such as Casio ClassPad 330, Derive, Magma, Maple, Mathematica, MuPAD,
TI NSpire CAS, and TI Voyage 200, and (b) the free software/open source systems
such as Axiom, Euler, Fermat, wxMaxima, Reduce, and the rising stars such as
GeoGebra, Sage, SymPy and Xcas (the swiss knife for mathematics).
The goal of this session is to exchange ideas, discuss classroom experiences,
and to explore significant issues relating to CAS tools/use within education.
Subjects of interest for this session will include new CAS-based
teaching/learning strategies, curriculum changes, new support materials, and
assessment practices from all scientific fields.
Please send a copy of your abstract in text or PDF to the session organizers. | 677.169 | 1 |
handyCalc Calculator
handyCalc is a powerful calculator with automatic suggestion and solving which makes it easier to learn and use.With almost all the features you can imagine on a calculator, waiting for you to explore.* currency convert, unit convert, graph, solve equations | 677.169 | 1 |
Piecewise smooth and rectifiable paths and curves. Complex integration along curves. Antiderivatives. Cauchy's theorem: Goursat's version for a triangle, for star-shaped regions and their unions, homotopy version. Elements of homology and homological version of Cauchy's theorem.
Schwarz Lemma. Automorphisms of the disk. Homogeneity of the disk. Cayley transform. Automorphisms of the upper half-plane.
Möbius transformations. Riemann sphere. Holomorphic and meromorphic functions on the Riemann sphere. Automorphisms of the Riemann sphere.
Objectives:
This course will build on material covered in 214.
Initially it will cover some familiar material in
greater detail and then continue on to cover basic material in
complex analysis. | 677.169 | 1 |
The solution of linear ordinary differential equations (ODEs) is commonly taught in first-year undergraduate mathematics classrooms, but the understanding of the concept of a solution is not always grasped by students until much later. Recognizing what it is to be a solution of a linear ODE and how to postulate such solutions, without resorting to tables of solutions, is an important skill for students to carry with them to advanced courses in mathematics. In this study, we describe a teaching and learning strategy that replaces the traditional algorithmic, transmission presentation style for solving ODEs with a constructive, discovery-based approach where students employ their existing skills as a framework for constructing the solutions of first and second-order linear ODEs. We elaborate on how the strategy was implemented and discuss the resulting impact on a first-year undergraduate class. Finally, we propose further improvements to the strategy as well as suggesting other topics which could be taught in a similar manner | 677.169 | 1 |
...The college has one mini stadium and another playground. There are two hostels one for boys and one for girls. The College has two buildings having... Learn about: Mathematics Series, Basic Mathematics, Mathematical Statistics...
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...Actuarial Sciences, and Management etc. The department has been marching ahead in the direction of excellence in teaching and research and is committed... Learn about: Matrix Algebra, Mathematics Series...
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...Actuarial Sciences, and Management etc. The department has been marching ahead in the direction of excellence in teaching and research and is committed... Learn about: Mathematics Series, Mathematical Economics, Vector Algebra...
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...Actuarial Sciences, and Management etc. The department has been marching ahead in the direction of excellence in teaching and research and is committed... Learn about: Matrix Algebra, Mathematics Series, Mathematical Statistics...
More
...Mathematics is the study of topics such as quantity (numbers), structure, space and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians... Learn about: Mathematics Series, Mathematics Algebra, Mathematical Reasoning...
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...This course explains Business Mathematics in clear language, using realistic problems, such as linear equations, interests and quadratic equations. Whether you already work in business, or are hoping to obtain a career within business, this course will help you master Business Mathematics. Working... Learn about: Mathematics Series, Business Mathematics, GRAPHING FUNCTIONS...
More | 677.169 | 1 |
Elementary and Middle School Mathematics guides both new and experienced teachers through a basic understanding of mathematics and problem solving, and encourages them to think about their own perceptions and misconceptions about mathematics.
Book Description Pearson Education557040 | 677.169 | 1 |
Tip 2: Math books are meant to be read slowly.
Evelyn Woods never had to read a serious math text. You cannot
speed read it and expect to get any benefit out of it at all.
When you encounter a new concept in a math book, do not expect to
understand it on the first reading, no matter how carefully your
read it. You should go over each difficult paragraph several times.
If you are still uncomfortable with it, read ahead a page or so,
then come back to the difficult passage. And remember that math
books are meant to be read with paper and pencil in hand.
Use the paper and pencil to work through any steps that the book
skips over.
Tip 3: Always use a pencil to do math homework (and exams).
Don't ever try to do math in ink. You will make mistakes. Everybody
does. So be equipped to clean them up. If
you like mechanical pencils, great. If you prefer the old wooden kind,
then sharpen several of them before you start each homework. Make sure
you have a clean, usable eraser as well.
Although neatness might not get you extra points, it does help
keep you from confusion. Keep your work organized. Skip a line (or even two) between
each row of written calculations. You will be surprised at how much easier it
will be for you to follow your own work when it's not so densely packed
onto the page. Paper is cheap. Don't be afraid to use lots of it.
Tip 4: Your greatest assets are in the class with you.
Your classmates are in the same boat as you. Organize a study group.
Try to coax at least one of the top students in the class into your
group. I recommend that the group size be three to five. Try to meet
at least once per week. You will be working together on homeworks and
comparing your lecture notes.
You don't want to be in the group that works on math in between beers and
Monday Night Football plays. Choose as your group-mates those who have
a serious attitude.
When you form the group, it might be a good idea to inform your professor
that you have done so and who are the group members. You should explain
that if all of you turn in the same wrong answer on a particular homework
problem, it's because you worked on it together.
Tip 5: In your group activity, take turns.
See if you can find a room with a whiteboard. Have one person get up
and do a problem on the board, explaining what he or she is doing as
the problem unfolds. If the person at the board gets stuck, the others
in the group should try to provide hints or ask the person at the board
telling questions. If the person at the board is doing fine, the others
in the group should challenge him or her. Make the problem-doer justify
each step orally. If anybody in the group does not understand a step,
the person at the board ought to be able to explain it to his or her
satisfaction.
When one person is done with a problem, somebody else gets up and does
the next one on the board. And nobody weasles out.
Tip 6: You will be tested as an individual.
Despite the helpfulness of your group activities, in the end your grade
will be based upon your individual performance at solving problems.
Following your group get-togethers, be sure to go solo on a few exercises.
Tip 7: Try to see more than just procedures.
Again I urge you, learn the concepts, and the procedures will
seem obvious. And try to have some fun with it. Humanity invented math
largely because it is fascinating. Be fascinated. | 677.169 | 1 |
Calculus: Continuity With Piecewise Functions
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this file type before downloading and/or purchasing.
2 MB|2+ Keys
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Product Description
This FREE Item is a great EXTRA for the unit on Limits & Continuity for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. Students often struggle with piecewise functions and how to analyze accurately.
Lesson Objective:
In this exercise, students will graph the functions from the given constraints and then find the limits by using the graphs. They will also be asked to defend whether or not the function is continuous, based on the three part definition of continuity.
If you have any questions or comments
please contact me by email me at: jean@flamingomath.com | 677.169 | 1 |
This is a partially flipped class. This means that you are required to read and take notes from the corresponding
sections of
the book before the date listed in the table below. I
will still go over some important points in class, but lecture time is
minimized, so that there is time for group-work in class. Most
important: you have to constantly solve at home all of the
suggested exercises from the sections we cover. For exams (midterms and final), most of the questions will be very
similar (or even identical) with problems from the suggested assignment, from
the worksheets or from the examples presented in class.
Homework due
Thursday, Nov. 9: Obtain the equations
in standard form for an ellipse, hyperbola,
parabola from their syntetic definitions.
Nov. 7
Reflective properties of conics
# 59, 60
Exam 2 on
Tuesday, Nov. 14 covers all topics done between
Oct. 5 and Nov. 7. All
problems in the worksheets and all suggested
exercises
are potential exam questions. Anything marked as
"you should know" are also potential
(theoretical) exam questions
You can do at home any (or even all) of the
problems 1, 2, 3, 4, for some bonus.
The deadline to turn these in is Thursday, Nov. 16. You are allowed and
encouraged to talk about the problems, but each of you should turn in
their own work | 677.169 | 1 |
From basic math to precalculus, Microsoft Mathematics 4.0 can help you visualize and see mathematical concepts as you've never seen them before. This free downloadable tool includes step-by-step instructions and explains fundamental concepts. … includes a full-featured graphing calculator that's designed to work just like a hand-held calculator and ink handwriting support to recognize hand-written problems.
Summer Research Program in Ecology. There is a great REU program at Harvard Forest, primarily consisting of ecology projects. One project is interdisciplinary, involving computer scientists doing work in sensor networks and data provenance to capture, manage and process the data they collect. This is a great opportunity for students interested in a mixture of ecology field work and computer science research. -via ACM | 677.169 | 1 |
Quick Quadratic Transformation Book
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this file type before downloading and/or purchasing.
1 MB|2 pages
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Product Description
Covers all transformations of quadratic functions, including vertical and horizontal dilations. Requires students to identify vertices, mathc graphs to equations, graph a few quadratics, and describe changes. The varied student involvement allows for a quick interactive activity that can be student centered or instructor lead. Print two sided and fold in half for booklet style notes for spirals. When printing select flip on short edge for book format. | 677.169 | 1 |
Perpendicular Press of Iowa City, Iowa, announces publication of the first
English translation of a popular sixth grade mathematics textbook by the eminent
Estonian authors Enn Nurk and Aksel Telgmaa. First published in 1987,
Mathematics 6 took the Soviet education establishment by storm, winning the
national competition for best new math book that year.
Still used today by students from Moscow to Magadan, Mathematics 6 takes a
straightforward approach to exploring the fundamentals of numbers, providing the
standard algorithms of arithmetic necessary to master algebra and geometry.
Whether you are a fourth grade whiz kid looking for a little excitement in life,
or a high school senior stressed out about that upcoming state exit exam, you
will benefit from the clarity and depth this engaging book offers all readers.
Translated and adapted by Will Harte, Mathematics 6 includes: 59 carefully
designed lessons; 1118 exercises of varying degrees of difficulty; Four
"independent assignments" on key topics; "A Little History"
of the fascinating world of mathematics; "Check Your Understanding"
questions at the end of each chapter; | 677.169 | 1 |
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible. 9780471433347 U_9780471433347
Description du livre Wiley, 2011. Soft cover. État : New. International Edition. 948pp. Book cover and ISBN different from US edition. Territorial Restrictions maybe printed on the book. This is an international edition. N° de réf. du libraire 3275643116277 365_NEW_9788126532285471433347*SBC*##7294
Description du livre Wiley. État : New. 04714333499780471433347
Description du livre Soft cover. État : New. NEW - International Edition - ISBN 9788126532285 V43 | 677.169 | 1 |
Synopsis
This fun and colourful Practise & Learn book from CGP is a fantastic introduction to algebra for children aged 10-11! It's packed with a huge range of engaging questions and activities to help children develop all the crucial algebra skills - all fully up-to-date for the latest National Curriculum. Answers are included in a pull-out section, along with useful notes for | 677.169 | 1 |
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This activity is great to practice graphing equations in standard form. The equations are graphed on the same coordinate plane and reveal a design. Use it as guided practice to check for understanding after a lesson or as a review in later courses, or as a math center activity. I have even used it for sub days. Includes master and answer key. | 677.169 | 1 |
AE 1040 - Introduction to Quantitative Reasoning (3)
An introduction to various branches of mathematics including basic algebra, geometry, set theory, probability and statistics. Content involves work with rational numbers and word problems. Prerequisite(s): consent required. | 677.169 | 1 |
68 312Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject. The series is divided into three sections: Introduction Why Professor Strang created these videos How to use the materials Highlights of Calculus Five videos reviewing the key topics and ideas of calculus Applications to real-life situations and problems Additional summary slides and practice problems Derivatives Twelve videos focused on differential calculus More applications to real-life situations and problems Additional summary slides and practice problems About the Instructor Professor Gilbert St Industrial Revolution half of the world's coal came from Britain. We still rely heavily on it today to meet our energy needs but now we import more than we produce. Burning it introduces large amounts of gases into the atmosphere that harm the environment in a variety of ways 02
Page: 247ili and Chiliens?, 003918677
Author: WIENER, Charles.
Page: 168 564
Year: 1896
Place: Philadelphia
Publisher: H. C. Baird Cruise on the Friesland Meres?, 003538926
Author: SUFFLING, Ernest Richard.
Page: 32
Year: 1894 | 677.169 | 1 |
Description
This book aims to provide a quick review of MATLAB commands and teach the programming principals in a concise way. However, it is an excellent companion to practice and learn how to use MATLAB to solve Mechanical Engineering problems. It is developed to improve the programming skills of students and engineers and teach them how to use MATLAB for everyday engineering problems at school and at work.
Excellent and worth the buy! I used this book for my MATLAB course this spring, and it is actually one of the more helpful textbooks I have owned. There are detailed and clear examples for each section, and even some references to student work so that you can see what you will be able to do after the course. There are also examples of different applications outside of the course where you can use MATLAB to your benefit. I recommend buying this for future use and applications for engineering problems. | 677.169 | 1 |
Spring 2013: CSE5810 - Scientific Computing
7:43 AM on September 18, 2012
Graduate Special Topics Course Spring 2012
Modern science and engineering practices depend on computation. In a spiral fashion, the availability of faster computers is fueling a data explosion in all branches of these disciplines, and in turn demanding better computing resources. Developing efficient algorithms is a part of the equation. This course covers such mathematical algorithms. The algorithms in this area are primarily numerical. However, we go beyond theoretical understanding of numerical analysis, and code some of the algorithms in order to understand their structures and resource usage patterns. From this course the students are expected to become skilled in coding algorithms that are important for scientists and engineers today. | 677.169 | 1 |
Introduction to Applied Math offers a comprehensive introductory treatment of the subject. The author's explanations of Applied Mathematics are clearly stated and easy to understand. The reference includes a wide range of timely topics from symmetric linear systems to optimization as well as illuminating hands-on examples.
Renowned applied mathematician Gilbert Strang explains the theory and applications of applied mathematics with the clear style, examples and insights of an experienced teacher. This is an ideal book for students studying a first course on applied mathematics or as a reference for more advanced applied mathematicians.
About the Author:
Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College, of the University of Oxford, UK. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled "An Analysis of the Finite Element Method." Professor Strang served as SIAM's president from 1999-2000, chaired the US National Committee on Mathematics from 2003–2004, and won the Neumann Medal of the US Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences. | 677.169 | 1 |
About this Course: There is much more to mathematics than just calculations and solving equations. In this course we will examine several mathematical topics accessible to students with an understanding of high-school mathematics. These will be selected from among the following: voting methods; the mathematics of money; probability; graphs, paths and networks; tilings and polyhedra; number theory. (3 credits)
Prerequisites: Equivalent of MAP 103, or level 2+ on the mathematics placement examination, or permission of instructor.
Text: George Gilbert, Rhonda Hatcher: Mathematics - Beyond the Numbers, John Wiley & Sons (2000).
The course will cover material from Chapters 1,3,4,6,8. The textbook is intended to be read. Study the assigned sections before the lecture. This will greatly increase your comprehension, and enable you to ask intelligent questions in class. Further optional reading will be suggested below.
Grading: There will be 3 short tests, 40 minutes each, about once a month; all given in class - no makeups. If one short exam is missed because of a serious (documented) illness or emergency, the semester grade will be determined based on the balance of the work in the course. A final examination will be held on Friday, December 17, 11-1:30 (Period 2).
Students are expected to ensure when they register for this course that they will be available for the final examination, and that they do not have too many final exams on that date.
The final course grades in MAT 118 will be determined as follows:
Homework/Recitation/Quizzes 35%, Short Tests 10% each, Final Exam 35%
We will give up to 10% extra credit for a project, to be assigned later. You can do at most two projects. Incompletes will be granted only if documented circumstances beyond your control prevent you from completing the course work, according to strict University rules.
Recitation/Homework: You can not learn mathematics without doing mathematics. It is essential to actively take part in the recitation and to solve problems: Each week a homework assignment will be posted further down on this page (usually M or Tu). It is due the following week by F noon with your TA, so will not be accepted in class. Homework will be graded, returned, and discussed. While you may work together with others in the class (which can be a rewarding experience), write up your own solutions in your own words. Since homework earns credit, it is assumed that everyone submitting particular problems has solved them individually. The goal of the homework is to understand the material, not to merely hand in some paper. Late homework will not be accepted.
Special Needs:
If you have a physical, psychological, medical or learning disability that
may impact your course work, please contact Disability Support Services,
ECC (Educational Communications Center) Building, room 128, (631) 632-6748.
They will determine with you what accommodations are necessary and
appropriate. All information and documentation is confidential.
Students requiring emergency evacuation are encouraged to discuss their
needs with their professors and Disability Support Services. For procedures
and information, go to the following web site.
Note: All remaining course work is due Friday, December 17, by the end of the Final (you may submit papers with the exam). Preferably, leave work already earlier with your section leaders. Extra bonus credit from homework, the exams, and up to two projects below will be counted altogether as additional input, which we will use to improve your course grade based just on the regular scores by up to 25% (or one grade).
Projects: You can submit work on (not more than) two of the following problems. Some may require a little more careful reading of the material and examples in the relevant sections. If you choose two projects, then one should be a writing exercise, the other a project. Of course, partial solutions will earn partial credit. | 677.169 | 1 |
How round is your circle by John Bryant, Chris Sangwin
How do you draw a directly line? How do you establish if a circle is actually around? those may possibly sound like easy or perhaps trivial mathematical difficulties, yet to an engineer the solutions can suggest the adaptation among luck and failure. How around Is Your Circle? invitations readers to discover a few of the comparable basic questions that operating engineers take care of each day--it's demanding, hands-on, and fun.
John Bryant and Chris Sangwin illustrate how actual types are made from summary mathematical ones. utilizing hassle-free geometry and trigonometry, they consultant readers via paper-and-pencil reconstructions of mathematical difficulties and express them how you can build real actual versions themselves--directions incorporated. it is an efficient and enjoyable strategy to clarify how utilized arithmetic and engineering interact to unravel difficulties, every thing from retaining a piston aligned in its cylinder to making sure that automobile driveshafts rotate easily. Intriguingly, checking the roundness of a synthetic item is trickier than one could imagine. while does the width of a observed blade have an effect on an engineer's calculations--or, for that subject, the width of a actual line? whilst does a size have to be distinct and whilst will an approximation suffice? Bryant and Sangwin take on questions like those and brighten up their discussions with many desirable highlights from engineering heritage. Generously illustrated, How around Is Your Circle? finds a few of the hidden complexities in daily issues.
This booklet develops the topic of matrices with precise connection with differential equations and classical mechanics. it truly is meant to convey to the coed of utilized arithmetic, with out past various instructions. First, he extends the idea to workforce jewelry and different Ore-like extensions, and gives an operative scheme that permits one to set a Buchberger idea over any powerful associative ring. moment, he covers related extensions as instruments for discussing parametric polynomial structures, the proposal of SAGBI-bases, Gröbner bases over invariant earrings and Hironaka's idea.
Two forms of this linkage are shown in plate 4. 16. Without the link CQ we have an arrangement that has become known as the Peaucellier cell. The links are such that OA = OB = l1 , AP = BP = AC = BC = l2 . For practical convenience, AC ≈ 13 OA, which determines the maximum opening of the long arms: cos−1 (s) = l2 . 17. Using the Pythagorean theorem yet again we have that (OM)2 + (AM)2 = l21 , (PM)2 + (AM)2 = l22 . 17. The Peaucellier cell. Subtracting these gives (OM)2 − (PM)2 = l21 − l22 , and rewriting the left-hand side as a product results in (OM − PM)(OM + PM) = k2 , where k is a constant, and we have used k2 = l21 − l22 for dimensional consistency.
However, to make either of the linkages shown in plates 5 and 6 it is necessary to create links with three collinear pivots. This presupposes the ability to place three points in a straight line. 4 Guide Linkages This form of linkage relies on one of the pivots being itself guided in a straight line and the function of the other members is to magnify this movement so that one point on one of the links describes a much longer straight line. The point of this system is that although it requires a straight guide, this guide is considerably shorter and therefore easier and cheaper to make than a full-length guide.
All that is necessary is that AB = BP = CP = CD and BC = 12 AD. A model of Chebyshev's crossed linkage can be modified by uncrossing the links and then adding an arm. 14, with an accompanying schematic. The trace of P as it moves between A and D is a very close approximation to a straight line. 15. Roberts's approximate straight line. 14. 15, showing a substantial improvement. 06%. All these examples of Watt-type linkages involve two fixed points and three bars. In some sense the two fixed points lie on a fourth bar. | 677.169 | 1 |
Course MAT100
Precalculus/Prestatistics
Intensive and rigorous refresher of standard topics from algebra and trigonometry. The primary objective is to ensure a working knowledge of these subjects as preparation for future course work in calculus or statistics. Broadly speaking students will gain the computational skills needed for MAT103. In particular, the course aims to provide both a solid conceptual grasp of variables, equations, standard functions and their graphs as well as a deeper appreciation of the uses of mathematical analysis to model real-world phenomena in the social and life sciences. Satisfies the QR requirement. Fall Only.
Classes meet 3 times per week, for 50 minutes in the Fall semester only. The course is organized into small precepts with 20-30 students (if staffing resources permit).
In order to prepare adequately for future courses like MAT103, most students will need to work lots of practice problems outside of class. We anticipate that most students will need to spend approximately ten hours per week reading the text, reviewing class notes, solving homework problems and studying for quizzes and exams. The course will be quite fast-paced and it is essential to work steadily throughout the semester. Frequent feedback will be given to help students keep up and monitor progress.
The course grade will be based on several components: weekly homework assignments (~15%); in-class quizzes(~25%); 90-minute midterm exam(~25%); cumulative final exam scheduled by the registrar during the final exam period (~35%).
This course usually includes popular, but optional, weekly problem sessions with undergraduate course assistants.
Notes
We expect that many students who take this course will continue with MAT103 in the spring semester. Others may continue with a statistics or quantitative methods course in one of the social sciences instead.
If you just need to satisfy the Quantitative Reasoning requirement, and don't plan to take any additional math or statistics, you might consider a course like MathAlive instead. Our QR courses are usually offered in the Spring semester, often on a one-time-only basis. Check the Registrar's course offerings for a current listing of QR courses being offered.
Who Takes This Course
Students with significant gaps in their precalculus background who need to take at least one semester of calculus or statistics at Princeton.
Placement and Prerequisites
Although there are no formal prerequisites, we do assume that all students have had some precalculus courses in high school.
If math is not your strong suit, and if you did not take any math in your senior year or you took a gap year, you may find that you really need MAT100 in order to be successful in MAT103.
Strongly recommended for students who need to take MAT103 and have a math SAT score below 650.
If you are not sure if you need to take MAT100 as a preparation for MAT103, try to schedule your 103 class at the same time as MAT100 so that you can switch down if necessary a few weeks into the semester. | 677.169 | 1 |
Features
Includes a substantial amount of history, a large number of motivating examples, and an extensive list of references for further research of results or the history of a concept
Contains almost 100 worked-out exercises and over 1,000 homework problems (with selected solutions at the back of the book) to develop students' problem-solving skills
Summary
Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics.
The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students.
By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.
Table of Contents
Sequences and Their Limits Computing the Limits Definition of the Limit Properties of Limits Monotone Sequences The Number e Cauchy Sequences Limit Superior and Limit Inferior Computing the Limits-Part II
Real Numbers The Axioms of the Set R Consequences of the Completeness Axiom Bolzano-Weierstrass Theorem Some Thoughts about R
Continuity Computing Limits of Functions A Review of Functions Continuous Functions: A Geometric Viewpoint Limits of Functions Other Limits Properties of Continuous Functions The Continuity of Elementary Functions Uniform Continuity Two Properties of Continuous Functions
Infinite Series A Review of Infinite Series Definition of a Series Series with Positive Terms The Root and Ratio Tests Series with Arbitrary Terms
Sequences and Series of Functions Convergence of a Sequence of Functions Uniformly Convergent Sequences of Functions Function Series Power Series Power Series Expansions of Elementary Functions
Fourier Series Introduction Pointwise Convergence of Fourier Series The Uniform Convergence of Fourier Series Cesàro Summability Mean Square Convergence of Fourier Series The Influence of Fourier Series
Functions of Several Variables Subsets of Rn Functions and Their Limits Continuous Functions Boundedness of Continuous Functions Open Sets in Rn The Intermediate Value Theorem Compact Sets | 677.169 | 1 |
Description
Advanced Maths is a command line tool for calculating advanced maths functions, it diplays every step it calculates and provides you with as full an answer as it can. To download the pre-compiled binary packages go to the project homepage | 677.169 | 1 |
DESCRIPTION
Mathematical skills and concepts lie at the heart of chemistry, yet they are an aspect of the subject that students fear the most. Maths for Chemistry recognizes the reality of chemical education today, and the challenges faced by many students in equipping themselves with the maths skills necessary to gain a full understanding of chemistry. Working from basic yet essential principles, the book builds the student's confidence by leading them through the subject in a steady, progressive way from basic algebra to quantum mathematics. Opening with an introduction to the 'language' of maths and fundamental rules of algebra, the book goes on to cover powers, indices, logs and exponential functions, graphical functions, and trigonometry, before leading the student through both differentiation and integration and on to quantum mathematics. With its modular structure, the book presents material in short, manageable sections to keep the content as accessible and readily digestible as possible.
CONTENTS
PREFACE TO THE SECOND EDITION; INSTRUCTIONS FOR THE TUTOR; INSTRUCTIONS FOR THE STUDENT; SYMBOLS | 677.169 | 1 |
Description
At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations. Copious exercises are included.show more
About Tom Leinster
Tom Leinster has held postdoctoral positions at Cambridge and the Institut des Hautes Etudes Scientifiques (France), and held an EPSRC Advanced Research Fellowship at the University of Glasgow. He is currently a Chancellor's Fellow at the University of Edinburgh. He is also the author of Higher Operads, Higher Categories (Cambridge University Press, 2004), and one of the hosts of the research blog, The n-Category Cafe.show more
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Lund University
Ordinary Differential Equations I
Official Course Description
Description
Ordinary differential equations are one of the most important mathematical tools within the natural sciences. They can be used to describe anything from population dynamics to quantum mechanics.
In this course some classical solution methods for first order equations will first be discussed. After this, linear equations of higher order with constant coefficients and first order systems will be studied. Power series solutions will be introduced for linear equations with variable coefficients. The last part of the course will focus on general theorems about existence and uniqueness. These theorems are important since most differential equations lack explicit solutions. | 677.169 | 1 |
Review Sheet for WebCT Test 3 on Paper 3
To review, skim through the
links below
and skim through the student papers.
In addition, carefully go over class notes and the worksheets.
I am happy to help with anything you don't understand in
office hours and/or the WebCT bulletin board.
In addition to what I wrote below,
be sure that you know importance of these ideas within the context
of mathematics, and applications to real-life.
Some other guidelines
for the mathematics:
Understand how Newton's method of approximation is really the
tangent line approximation used to find a root.
Given two functions in two unknowns, understand how to find the
Jacobian matrix and the Wronskian (the determinant), and plug points into
them to find values.
Understand how to use Newton's method to find a root (where something
is 0).
Understand that Tapia was working with complicated des. He
wanted to know about them and find their max/mins. This is equivalent to
finding a root of the derivative (ie where the derivative is 0),
so a version of the Newton method called the weak Newton method is
used.
Understand the definition of distance in taxicab geometry as
|x2-x1| + |y2-y1|, and understand how to use it.
Understand that taxicab geometry is useful for taxicab drivers
in a city set on a grid and also for ecological distance between species.
Know why SAS does not hold in taxicab geometry
Understand that Schattschneider was looking at transformations that
preserve the taxicab distance between points
and proved that there were only 8 of them.
She worked in soap bubble geometry - the geometry of minimal surfaces.
These have applications in chemistry, biology and packaging.
One of the things that
she proved was that three surfaces meet along a smooth curve at
120 degree angles.
Understand the definition of mean curvature and how to apply it
to different surfaces.
Understand that soap films have constant mean curvature.
Understand that a spherical
bubble has the least amount of surface area for a
given volume.
Understand that a Buckyball is a molecule comprised of
60 carbon atoms arranged in a form similar to a soccer ball,
and that mathematical properties have applications to chemisty
and physics.
Understand Euler's formula and when it applies
Understand the Icosahedron
Understand how to form a Buckyball from an Icosahedron.
Understand the question "Can you hear the shape of a drum?"
and her solution to the problem.
Understand the definition of a mathematical drum.
Understand that sound-alike drums must have the same area
and perimeter, and know how to apply this.
Know that an F-test is used for testing numerical data, not the percentage
or proportions of a sample for a particular category.
Know that a better test for analyzing proportional data
is a chi-squared test.
Know how to find the expected value of
elements in a table and what this means.
Understand that it seems that Hrabowski has matured statistically
from his 1977 article "Graduate School Success of Black
Students from White Colleges and Black Colleges" to his
1995 article "Enhancing the Success of African-American Students in the
in the Sciences: Freshmen Year Outcomes".
Know some basics of statistics from Dr. Richie's comments
Understand that he works in the field of graph theory, which
has many applications to real life, such as organizing a schedule of
teams playing each other during a season.
Know the definitions of a path and a cycle.
In one of Dean's papers, a lemma that he proves discusses
the number of paths it takes in order to decompose a graph made up
of 1 , 2 or 3 cycles, and know why decomposition is important.
Know that his proof of the lemma is by contradiction. | 677.169 | 1 |
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Mathematics
Introduction to tutors and students
Video of Mathematics at Oxford University
Why study mathematics?
Wonderful theorems, beautiful proofs, great applications.
David Acheson, 1089 and All That
Mathematics is the language of science and logic, and the language of argument. Science students are often surprised, and sometimes daunted, by the prevalence of mathematical ideas and techniques which form the basis for scientific theory. The more abstract ideas of pure mathematics may find fewer everyday applications, but their study instills an appreciation of the need for rigorous, careful argument and an awareness of the limitations of an argument or technique. A mathematics degree teaches the skills to see clearly to the heart of difficult technical problems, and provides a "toolbox" of ideas and methods to tackle them.
Who is this course good for?
If you enjoy doing mathematics and understanding where maths comes from.
If you want to solve problems, whether abstract or practical.
If you enjoy a challenge and want to explore new and fascinating areas of mathematics.
Adventures in mathematics
Video of Derek Moulton
What's in the course?
As an undergraduate in mathematics, you will firstly cover the basics. At Oxford, the first year course has no options - we aim to teach you core material, covering ideas and techniques fundamental to later years. These topics include linear algebra, groups, differentiation, integration, probability, statistics, geometry, dynamics, optimisation, Fourier series, and multivariable calculus. Some of these you will have met in some form already as part of your studies (for example, integration and differentiation). At university, however, it's not sufficient to know how to integrate and how to differentiate (though this is pretty essential!). We need to know what kind of things can be integrated and what kind of things can't be, what happens when there are discontinuities in the function, and whether there are key properties that functions must have in order to be integrable.
From the second year onwards you can choose certain options as part of your course. In the second year, you take 3 short options from 8 courses, and 5 or 6 long options from a choice of 9 courses. You also continue learning some core material, including differential equations and complex analysis. Short options include graph theory, number theory, projective geometry, and special relativity. Long options include topology, quantum theory, probability, and numerical analysis. There is a range of pure and applied courses on offer, and many people at this stage continue taking a mixture of both.
In the third year, there are around 48 different courses on offer, of which you choose 8, and no compulsory courses. It is at this point that many students begin to specialise. If you choose to continue to the fourth year, there are around 59 courses on offer, of which you again choose 8. You can, in effect, create your own degree tailored to your personal mathematical interests - which may in the end differ wildly from those you started your degree with! Regardless of what courses you end up studying we look forward to exploring the world of mathematics with you.
Problems to think about
Imagine a knight on a chessboard (8x8 grid). Is it possible, using the knight's move (an L-shape - that is, moving three squares in one direction, then one square perpendicular to that line) to visit all the squares on a chessboard? Does it matter where the knight starts? Is it possible to visit all the squares on a chessboard precisely once? Is this possible for all sizes of grid? What determines whether this is possible or not?
Alumni Stories
Robin Fellerman
Robin read for a BA in Mathematics at St Edmund Hall, matriculating in 2004.
Please contact us for feedback and comments about this page. Last update on 17 December 2015 - 16:03. | 677.169 | 1 |
SPECIAL EDUCATION GRADES 9 - 12
Resource Specialist Program (RSP)
(Updated
29-Jan-2014)
RSP students can participate in the regular math and/or language art classes
that are collaboratively taught both by the RSP teacher and the core subject
teacher or in a pull out RSP math and language arts class taught by the RSP teacher
if available. These RSP students receive instruction in the grade level standards.
Modifications as stated in the Individualized Education Program are maintained.
RSP
Algebra IP UC/CSU (2 sem.) Gr. 9-12
Student who qualify for RSP Algebra IP
are enrolled in a math class utilizing the collaborative model. Algebra I is
a college preparatory course aligned
to the California Algebra I standards and designed for capable mathematics
students.
This course uses a modern approach that stresses mathematical structure. Topics
such as linear equations, quadratic equations, functions, inequalities, polynomials,
and linear graphing are studied.
An Algebra I student should have demonstrated
a readiness to succeed in this course by having successfully completed all
previous math courses. A recommendation
from the student's current math teacher in middle school will indicate
the student has the motivation and sufficient mastery of math skills necessary
to be successful in Algebra I.
RSP Geometry P UC/CSU (2 sem.) Gr. 9-12
Students who qualify for RSP Geometry
P math are enrolled in a math class utilizing the collaborative model. Geometry
P is aligned to the California State Standards
and is a college preparatory mathematics course for ninth through twelfth grade
students. Students enrolling in Geometry should have successfully completed
both semesters of Algebra IP or both years of Algebra A and Algebra B, and
have a
good understanding of Algebra I concepts.
This is an advance mathematics course
covering such topics as logic and reasoning, constructions: properties of plane
closed figures and three dimensional figures,
congruence, and similarity.
RSP Algebra IIP UC/CSU (2 sem.) Gr. 9-12
Students who qualify for RSP Algebra
IIP are enrolled in a math class utilizing the collaborative model. Algebra
IIP is an advanced College preparatory mathematics
course for serious math students. Topics include problem solving and graphing
with both linear and quadratic equations and inequalities, combinations, permutations,
logarithms, arithmetic and geometric progressions, and complex numbers. Algebra
II students should have demonstrated a readiness to succeed in this course
by having successfully learned skills in Algebra I and Geometry. A recommendation
by the student's Geometry teacher will indicate the student has sufficient
math skills necessary to be successful in Algebra II.
RSP Study Skills (2 sem.)
Gr. 9-12
Students may be assigned to a study skills class for one period a
day. This class focuses on teaching study skills so the students can successfully
pass
their
classes.
RSP Careers/Transition (2 sem.) Gr. 12
This course focuses on preparing students
for the world of work. Students participate in classroom activities involving
completion of job applications,
interview
techniques, and employment preparation. Students are placed on job
sites for practical application
of skills learned in the classroom. | 677.169 | 1 |
Book Description This book's organizing principle is the interplay between groups and rings, where "rings" includes the ideas of modules. It contains basic definitions, complete and clear theorems (the first with briefsketches of proofs), and gives attention to the topics of algebraic geometry, computers, homology, and representations. More than merely a succession of definition-theorem-proofs, this text put results and ideas in context so that students can appreciate why a certain topic is being studied, and where definitions originate. Chapter topics include groups; commutative rings; modules; principal idealdomains; algebras; cohomology and representations; and homological algebra. For individuals interested in a self-study guide to learning advanced algebra and its related topics. Book Info Contains basic definitions, complete and clear theorems, and gives attention to the topics of algebraic geometry, computers, homology, and representations. For individuals interested in a self-study guide to learningadvanced algebra and its related topics.
To my wife Marganit and our two wonderful kids, Danny and Ella, whom I love very much
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gives attention to the topics of algebraic geometry,... | 677.169 | 1 |
Teachers-guide-lower-secondary-mathematics.pdf - Secondary Mathematics Syllabus (Grades 9 and 10) ... you to research and look for new and challenging ways of facilitating ... towards solutions to problems.
Teachers-guide-lower-secondary-mathematics.pdf - Secondary Mathematics Syllabus (Grades 9 and 10) ... you to research and look for new and challenging ways of facilitating ... towards solutions to problems.
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Author: Carson-Dellosa Publishing Publisher: Carson-Dellosa Publishing ISBN: 1624426026 Size: 58.19 MB Format: PDF, ePub View: 756620400 Size: 57.49 MB Format: PDF, Kindle View: 6757018 Size: 74.88 MB Format: PDF, Mobi View: 285300X Size: 20.30 MB Format: PDF, ePub, Docs View: 722125984 Size: 53.72 MB Format: PDF, Docs View: 7292 DownloadRead Online
This 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 |
Mathematical Models For Society And Biology
Hardcover | December 27, 2001
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Mathematical Modeling for Society and Biologyengagingly relates mathematics to compelling real-life problems in biology and contemporary society. It shows how mathematical tools can be used to gain insight into these modern, common problems to provide effective, real solutions.
Beltrami's creative, non-threatening approach draws on a wealth of interesting examples pertaining to current social and biological issues. Central ideas appear again in different contexts throughout the book, showing the general unity of the modeling process. The models are strikingly novel and based on issues of real concern. Most have never appeared in book form. Through the relevance of these models mathematics becomes not just figures and numbers, but a means to a more refined understanding of the worldPREFACE; CRABS AND CRIMINALS; IT ISN'T FAIR: MUNICIPAL WORKERS, CONGRESSIONAL SEATS, AND THE TALMUD; WHILE THE CITY BURNS; CLEAN STREETS; THE COIL OF LIFE; MEASLES AND BLOOD CLOTS; SARDINES AND ALGAE BLOOMS; RED TIDES AND WHAT EVER HAPPENED TO THE RED SQUIRREL ?; SUBMARINES AND TRAWLERS; AFTERTHOUGHTS ON MODELING; APPENDIX; CONDITIONAL PROBABILITY; REFERENCES; SOLUTIONS TO SELECT EXERCISES; INDEX
Editorial Reviews
Reviews"One has here a wealth of interesting applications -- selected to motivate the large group of readers outside engineering and the physical sciences who can benefit from mathematical modeling but are seldom shown how it can be useful for their own areas." - Thomas Seidman, University of Maryland "This is a delightful collection of essays that take the reader from the specific application to the more general mathematical methods...I enjoyed reading the author's style that draws the reader into the subject and motivates the mathematical methods that follow." - Daniel Zelterman, Yale University "This is one of the best texts I have seen for undergraduate modeling courses. It is less formal and much more engaged than most in real questions from the very start. Yet the material is accessible and does not require an excessive amount of background." -Bruce N. Lundberg, University of Southern Colorado | 677.169 | 1 |
Unlike other teacher certification test preparation material, our FTCE Middle Grades Math study guide drills all the way down to the focus statement level, providing detailed examples of the range, type, and level of content that appear on the test. Completely aligned with current FTCE exam, this book provides the support you need to study and pass the exam with confidence! This study guide includes one This study guide is perfect for college students, teachers, and career-changing professionals who want to teach Middle Grades Math in Florida.
Best FTCE Middle Grades Mathematics 5-9 025 + Free Online Tutoring. This guide provides updated exam questions based on recent changes to the exam along with similar test questions focused on the real exam content. The exam includes challenging practice questions that are seen on the real exam. The test questions are aligned with the exam to get you exposed to the best preparation to pass your FTCE Middle Grades Mathematics 5-9 025. The FTCE Middle Grades Mathematics 5-9 025 test will give you a good idea of what to expect on the exam day, which will increase your confidence in passing the exam.
Current, state-aligned, and comprehensive, this study guide will provide the content and practice you need to pass the FTCE Middle Grades Math 5-9 certification test the first time. It covers all the relevant competency areas including: mathematics through problem-solving and reasoning; mathematical representations; mathematical connections; number sense, concepts, and operations; algebraic thinking; data analysis and probability; geometry and spatial sense; and measurement. Once you've mastered the content, practice for the real exam with a 146-question sample test that includes full answer rationales. Move forward with your teaching career—get an XAMonline guide and get certified!
Ftce Middle Grades Mathematics 5 9 Flashcard Study System has been writing in one form or another for most of life. You can find so many inspiration from Ftce Middle Grades Mathematics 5 9 Flashcard Study System also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Ftce Middle Grades Mathematics 5 9 Flashcard Study System book for free.
FTCE Middle Grades Mathematics 5 9 Secrets Study Guide has been writing in one form or another for most of life. You can find so many inspiration from FTCE Middle Grades Mathematics 5 9 Secrets Study Guide also informative, and entertaining. Click DOWNLOAD or Read Online button to get full FTCE Middle Grades Mathematics 5 9 Secrets Study Guide book for free.
Die Watergate Aff re has been writing in one form or another for most of life. You can find so many inspiration from Die Watergate Aff re also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Die Watergate Aff re book for freeWolfgang Amadeus Maus has been writing in one form or another for most of life. You can find so many inspiration from Wolfgang Amadeus Maus also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Wolfgang Amadeus Maus book for free. | 677.169 | 1 |
Purposes of Algebraic Literacy Course: The Algebraic Literacy (AL) course prepares students for mathematics pathways which include college algebra, pre-calculus, and other courses requiring a background beyond the Mathematical Literacy (MLCS) course. The focus of the AL course is on building understanding of mathematical systems with a dual emphasis on symbolism and application. The Algebraic Literacy course includes quantitative topics from areas besides algebra, which supports the needs of both STEM (Science, Technology, Engineering, and Math) bound students and other students. Use of graphing technology is assumed throughout. Some students will take Algebraic Literacy as their first math experience at college, while others will be taking AL after completing the Mathematical Literacy course.
Prerequisites to Algebraic Literacy Course: Basic proportional reasoning and algebraic reasoning skills, and some function skills, are required prior to the Algebraic Literacy course. Students should be able to do the following prior to this course:
Understand proportional relationships in a variety of settings, including paired data and graphs.
Apply properties of algebraic expressions, including distributing, like terms, and integer exponents.
Construct equations and inequalities to represent relationships
Understand how to solve linear equations by reasoning
Understand how to write and use linear and exponential functions
The New Life Project recommends that students needing minor remediation be provided any needed instruction for these areas in either a short-term format ('boot-camp') or just-in-time (within the course). Students needing extensive learning experiences in these skills or prerequisites to these skills should take a course like Mathematical Literacy for College Students prior to the AL course.
Content Goals of MLCS:
Numbers and Polynomials
Functions
Geometry and Trigonometry
Modeling and Statistics
The content is intended to be integrated and connected.
Learning Outcomes of Algebraic Literacy: These are listed within the content goal structure, even though some outcomes would be addressed in multiple goals. Some outcomes are clarified by selected exemplar(s). Courses preparing students for STEM-pathways should consider the Additional Outcomes listed.
1. Numbers and Polynomials: Students will develop and apply concepts of polynomials to investigate and describe relationships and solve problems.
Understand the use of parameters and variables, including appropriate replacement sets. [Identify which symbols represent parameters and which represent variables. Represent situations with polynomials or equations. Identify domain and range.]
Show procedural fluency with polynomial expressions, including basic factoring. [Perform flexibly operations of adding, subtracting, and multiplying on polynomials. Perform limited division. Understand and perform limited factoring, such as common factors and difference of squares.]
Use equations, inequalities, and systems of equations & inequalities to represent situations, and find solutions via symbolic, numeric and graphic methods. [Solve linear equations and inequalities flexibly by multiple methods. Use systems of equations in two or three variables, and solve by multiple methods.]
Use exponential and power equations to represent situations, and find solutions via numeric and graphic methods. [Recognize which model – linear, exponential, or power – is appropriate. Solve exponential and power equations with technology.]
Use symbolic procedures to manipulate formulas and literal equations. [Solve for a stated variable. Paraphrase a formula in alternate forms, such as without fractions.]
2. Functions: Students will understand the basic algebraic functions in terms of fundamental concepts such as rate of change, input/output variables, domain & range, and parameters, and use multiple representations of functions.
Understand basic algebraic functions – linear, exponential, and power. [Represent functions in alternate forms – symbolic, graphic, and numeric. Identify appropriate replacement sets for a function in a given situation. Determine the range for a function given a domain.]
Identify and write the appropriate function for a situation or set of ordered pairs. [Determine the correct pattern for the data. Determine the initial value. Determine the slope or multiplier or coefficient for the function.]
Determine whether a discrete or continuous model is appropriate for a situation.
Understand properties of basic algebraic functions. [Determine a rate of change in an interval for any function. Determine an extreme value (minimum or maximum) for functions by using technology. Predict the effects of changing a parameter in a given function.]
Understand the three basic trigonometric functions in the context of right triangles. [Given a right triangle with known sides, calculate the sine, cosine, and tangent of each acute angle. Given the sine and cosine of an angle, calculate the tangent. Given a rate of change on a graph, calculate the tangent.]
Use the three basic trigonometric functions. [Use technology to calculate the sine, cosine, or tangent of an acute angle. Use trigonometric functions to solve problems in a right triangle.]
4. Modeling and Statistics: Students will develop and apply basic concepts of modeling and statistics to investigate and describe situations and solve problems.
Use basic concepts of measurement and data. [Determine precision and accuracy of basic measurements. Identify a measurement as being nominal, ordinal, or interval.]
Understand theoretical and modeled relationships. [Know when errors from predicted values has two components versus one. Understand the predictive validity and reliability of each type of relationship. Know when extrapolation is reasonable.]
Use technology to generate models (linear, exponential, or power) given appropriate data. [Use regression to generate a model. Use a model to make predictions.
Understand how to judge which model is a better choice. [Understand the difference between correlation and causation. Make reasonable interpretations of correlation values for a regression. Given a scatterplot, identify which type of model is the best fit when the pattern is relatively clear.] | 677.169 | 1 |
5 283æologist?s manual for its most interesting ruins?, 003194732
Author: RUSSELL, Thomas O'Neill.
Page: 195Childcare, education, working conditions, healthcare, crime … these issues are hotly debated in today's society. They are also issues that Robert Owen, seen by some as a visionary and by others as a knave and a charlatan, sought to address in the early 1800s. This unit uses a series of essays written by Owen to explore the ideas of this important and controversial figure 53We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and videoThe aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can help us. In particular, the student will learn the following: proofs can help you to really see WHY a result is true; problems that are easy to state can be hard to solve (Fermat's Last Theorem); sometimes statements which appear to be intuitively obvious may turn out to be false (the Hospitals paradox); the answer to a question will often depend crucially on the definitions you are working with. Target audience: suitable for anyone with a knowledge of elementary algebra and prime numbers, as may be obtained by studying A level mathematics | 677.169 | 1 |
ISBN 13: 9781591665465
Prealgebra
Algebraic expressions and linear equations are applied throughout a thorough review of operations on integers, fractions, decimals, percents, and radicals. Students explore relations and functions using equations, tables, and graphs. Chapters on statistics and geometry extend foundational concepts in preparation for high school courses.Highlights-Dominion Through Math exercises illustrate how mathematics can be used to steward God's creation for His glory.-Problem Solving questions in each chapter promote critical-thinking skills and introduce the students to different problem-solving strategies.-Math-in-Use studies feature Bible characters, mathematicians, scientists, and artists and highlight the math the person used.-Math and Scripture features in each chapter highlight mathematical applications in God's Word.-A Chapter Review at the end of each chapter includes a vocabulary review and some exercises.-An expanded cumulative review is included in each section.-Expanded explanations with numerous examples are included.-Skill Check questions provide immediate feedback. | 677.169 | 1 |
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