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Synopses & Reviews
Synopsis
Well-known and highly regarded, Discrete Algorithmic Mathematics is an outstanding text for a half- or full-year course in discrete mathematics. Written in a clear and lively style, the book's emphasis is on themes and ideas, making it more coherent and extensive than other discrete mathematics textbooks. | 677.169 | 1 |
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JEE Mathematics book includes material in precise manner to help CBSE and non-CBSE students in understanding NCERT mathematics in an easy and better way. Theory is completely based on JEE Mains new pattern including major formulas, more than 1000 short cut methods, concepts, techniques and illustrations. JEE Mathematics accommodates level based problems starting from easy to tough levels; followed by Assertion and Reason type questions, NCERT Drill and more than 4000 multiple choice questions from previous year papers for practice. It contains 11 years chapter wise JEE Mains solved question papers and exclusively solved paper of JEE Mains 2017 exam for complete preparation of engineering entrance exams. | 677.169 | 1 |
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Unformatted text preview: Notes on matrices and systems Patrick De Leenheer * January 13, 2009 1 Matrices Matrices are tables of generally complex numbers. Examples: A = 1 2 3 4 ,B = 1 2 3 4 5 6 Matrix A is said to be square because it has equally many rows and columns, namely 2. Matrix B on the other hand is rectangular and has 2 rows and 3 columns. A general matrix X may have n rows and m columns, and we sometimes write X ∈ R n × m if all entries of the matrix are real numbers, or X ∈ C n × m if they are complex. Special matrices are row vectors ( n = 1) and column vectors ( m = 1). Operations on matrices We can add matrices X and Y if (and only if) both have the same number of rows and columns, and this is done entrywise: 1 2 2 1 + 1 3 2 0 = 2 5 4 1 We cannot add the matrices A and B defined earlier. We can multiply matrix X and Y (if and only if) matrix X has the same number of columns as the matrix Y has rows, i.e. if and only if X ∈ C n × m and Y ∈ C m × p . The result of the multiplication is a matrix Z = XY ∈ C n × p , i.e. it has the same number of rows as X and the same number of columns as Y . So what is Z ? Let's specify each of its entries. Denoting [ Z ] ij as the entry in the i th row and j th column of Z , we have that [ Z ] ij = m X k =1 [ X ] ik [ Y ] kj , for i = 1 ,...,n and j = 1 ,...,p. Notice that this formula is also given by the dot product of the i th row of X and the j th column of Y . For example, we can calculate AB (but not BA; why not?) and AA which we denote for short as A 2 : AB = 9 12 15 19 26 33 ,A 2 = 7 10 15 22 We can multiply a matrix by a scalar : If X ∈ C n × m and α ∈ C then [ αX ] ij = α [ X ] ij . For example, 2 A = 2 4 6 8 . The following rules are easily verified, provided that the operation makes sense. The matrix 0 is a matrix having only zero entries, and the matrix I n is a matrix in R n × n with all diagonal entries equal to 1, and off-diagonal entries equal to 0: [ I n ] ii = 1 for all i = 1 ,...,n and [ I n ] ij = 0 * Email: [email protected] Department of Mathematics, University of Florida. 1 if i 6 = j . ( A + B ) + C = A + ( B + C ) A + 0 = A = 0 + A A + B = B + A A + (- A ) = 0 = (- A ) + A ( AB ) C = A ( BC ) I n A = A = AI m A ( B + C ) = AB + AC AB and BA are not necessarily the same, even if both exist (can you give an example?). Determinants : Given a square matrix X ∈ C n × n , we can associate a complex number to it, denoted as det A . I am not giving the general definition which requires some linear algebra , but here is how you compute the determinant for matrices in C 2 × 2 and C 3 × 3 : det a b c d = ad- bc, det x 11 x 12 x 13 x 21 x 22 x 23 x 31 x 32 x 33 = x 11 x 22 x 33 + x 12 x 23 x 31 + x 13 x 32 x 21- x 13 x 31 x 22- x 21 x 12 x 33- x 11 x 23 x 32 We say that X is singular if and only if det X = 0, and non-singular otherwise....
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Encyclopedia of Mathematics
Description: The Encyclopedia of Mathematics wiki is an open access resource designed specifically for the mathematics community. The original articles are from the online Encyclopaedia of Mathematics, published by Kluwer Academic Publishers in 2002. With more than 8,000 entries, illuminating nearly 50,000 notions in mathematics, the Encyclopaedia of Mathematics was the most up-to-date graduate-level reference work in the field of mathematics.
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Encyclopaedia of Mathematics by Michiel Hazewinkel - Springer The Online Encyclopaedia of Mathematics is the most up-to-date and comprehensive English-language graduate-level reference work in the field of mathematics. It comprises more than 8,000 entries and illuminates nearly 50,000 notions in mathematics. (13650 views)
Advanced Problems in Mathematics: Preparing for University by Stephen Siklos - Open Book Publishers The book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects. It is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in mathematics. (1380 views) | 677.169 | 1 |
This worksheet has 6 different types of equations all in one variable. It includes one-step equations, two-step equations and multi-step equations some with fractions, some with distribution. Each cluster has 15 problems. A student starts at cluster
This is a simple practice worksheet where students will identify all subset of the real numbers that a given number is a member of. There are also opportunities to estimate square roots without using a calculator.
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TEACHING EXPERIENCE
I am a certified high school teacher possessing a BS and MA in mathematics. Currently I teach at Edwards Middle School in Brunswick, Ohio. Primarily I teach algebra I to 8th graders.
MY TEACHING STYLE
I consider myself a Socratic-Constructivist. I realize that my students learn more when they answer their own questions and make their own discoveries. My role is to guide and assist the students in this process.
HONORS/AWARDS/SHINING TEACHER MOMENT
As a student teacher I won an award for Excellence in Student teaching. I have been the Teacher of the Year for my school and I am a Jennings Scholar.
MY OWN EDUCATIONAL HISTORY
I possess a B.S. in mathematics from The Ohio State University, an M.A. in mathematics from Cleveland State University and an M.Ed. with an emphasis on technology from Cleveland State University.
ADDITIONAL BIOGRAPHICAL INFORMATION
I have been teaching since 1998, though I took two years off when my daughter was born. | 677.169 | 1 |
Introduction to Tropical Geometry (Graduate Studies in Mathematics)
DescriptionTropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics.This the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature. | 677.169 | 1 |
Everything important for prospective students
Dates for freshmen in summer term 2018
The students should complete in their freshmen term the following courses: • Analysis I (lecture/exercise/tutorial) • Lineare Algebra I (lecture/exercise/tutorial) • One lecture in the applied field More information here: Course Overview Mathematics SoSe 2018. | 677.169 | 1 |
Algebra and Geometry (Softcover)
"This text gives a basic introduction and a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and various aspects of geometry including groups of isometries, rotations, and spherical geometry." — From the back cover
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Description
Continued from the back cover: "The emphasis is always on the interaction between these topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many of the ideas are developed gradually throughout the book. For example, the definition of a group is given in Chapter 1 so that it can be used in a discussion of the arithmetic of real and complex numbers; however, many of the properties of groups are given later, and at a time when the importance of the concept has become clear. The text is divided into short sections, with exercises at the end of each."
Products related to "Algebra and Geometry (Softcover)"This book is based on lectures given to advance undergraduates and is well-suited as a textbook for a second course in complex function theory. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics." — From the back cover
"This new book is an excellent resource for those mathematicians, physicists, engineers, and scientific computing researchers who currently use Clifford algebra methods in their investigations. It is also appealing to those who would like to quickly become familiar with the theory and computational practice in some of the most recent and fascinating applications of Clifford algebras." — From the back cover
"Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs, but which required the algebra of the Renaissance for a thorough understanding. Through coordinate geometry, various geometric construction tools can be associated with various fields of real numbers. This book is about these associations." — From the back cover
"Numbers and Geometry is a beautiful and relatively elementary account of a part of mathematics where three main fields—algebra, analysis, and geometry—meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book." — From the back cover
"The book contains an amazing wealth of material relating to the algebra, geometry, and analysis of the nineteenth century.... Written with accurate historical perspective and clear exposition, this book is truly hard to put down." — Zentralblatt für Mathematik (review of the first edition, taken from the back cover)Catalan numbers crop up in chess boards, computer programs, and even train tracks. This comprehensive text presents a clear introduction to one of the truly fascinating topics in mathematics." — From the back cover
"It is especially important to give meaning to the lessons, providing a broader base for the memory. Relate a skill to real life—money to earnings and allowance, averages to sports scores." — Kathryn Stout, B.S.Ed., M.Ed., Author
"In addition to its use as a companion volume to computer graphics or geometric modeling courses, this volume would also make a good mathematics reference book, in particular for practitioners in the field of geometric modeling. Furthermore, because of its broad coverage and emphasis on explanation it could even be used as text for introductory mathematics courses on some of the covered topics, such as topology (general, combinatorial, algebraic, and differential) and geometry (differential and algebraic)." — From the back cover
"This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems." — From the back cover
"The Volume Library, which is revised and updated annually, was designed for interested, well-informed people—students and adults who need an authoritative reference book for their home book-shelves, and parents who want to keep abreast of the subjects their children are studying in school."—Preface | 677.169 | 1 |
About this book
MATH FOR THE AUTOMOTIVE TRADE, 5E is an up-to-date, highly practical book that helps your students develop a real-world understanding of math concepts and applications in the modern automotive repair trade. Written at a beginner's level, this book is a comprehensive instructional workbook that shows your students how to solve the types of math problems faced regularly by automotive technicians. Unique to MATH FOR THE AUTOMOTIVE TRADE, 5E are realistic practice exercises that allow your students to determine if their answers fall within manufacturers' specifications and repair orders that are completed by finding the appropriate information in the professional literature and reference material, included in the book's valuable appendices.Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. | 677.169 | 1 |
Algebra I: High School: The lessons in the Algebra I course offer a supplement to help you better understand what you learn in the classroom. The video lessons break down chapters into bite-sized and engaging components, making learning fun and appealing. After each short video lesson, you can take the corresponding quiz to see how well you understand the information.
Money Skill: MoneySKILL is a FREE online reality based personal finance course for young adults developed by the AFSA Education Foundation. This interactive curriculum is aimed at the millions of high school and college students who graduate each year without a basic understanding of money management fundamentals. The course is designed to be used as all or part of a grade for courses in economics, math, social studies or where personal finance are taught. | 677.169 | 1 |
This book is intended as a text for a problem-solving course at the first or second-year university level, as a text for enrichment classes for talented high-school students, or for mathematics competition training. It can also be used as a source of supplementary material for any course dealing with algebraic equations or inequalities, or to supplement a standard elementary number theory course. There are already many excellent books on the market that can be used for a problem-solving course. However, some are merely collections of prob lems from a variety of fields and lack cohesion. Others present problems according to topic, but provide little or no theoretical background. Most problem books have a limited number of rather challenging problems. While these problems tend to be quite beautiful, they can appear forbidding and discouraging to a beginning student, even with well-motivated and carefully written solutions. As a consequence, students may decide that problem solving is only for the few high performers in their class, and abandon this important part of their mathematical, and indeed overall, education.
"I have nothing but praise for this book, and I can't imagine a mathamtician who wouldn't want to own it."
MAA ONLINE
"This book contains over 300 examples and then over 700 exercises for the reader. The authors have even included a fourth chapter with hints and answers to the exercises. So, even if the solution isn't given in the back, at least the reader will have some hint about which direction to start looking. The book provides a nice introduction into many of the problems-solvers' 'tricks of the trade.' There is a lot presented here, so the reader (especially an undergraduate) may want to take the following approach: read just a few pages at a time, work out some of the exercises, then take some time to digest the material before going on." | 677.169 | 1 |
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Mathematics
The mathematics faculty is committed to ongoing scholarly activity that includes searching for new mathematical results, placing modern mathematics in its cultural and educational context, producing pedagogical materials of high quality, working with area K-12 educators, and consulting with area businesses and organizations.
The mathematics faculty serves the Winthrop community by providing counsel on mathematical and statistical issues and serves the larger community through consulting and participation in discipline-specific professional organizations.
Most undergraduate students will take a course offered by the Department that meets the Quantitative Skills General Education requirement, such as MATH 101, MATH 150, MATH 151, or MATH 201. An online Mathematics Placement Exam is available to all students (incoming, transfer, and current) to determine which course is best for each student.
The Department of Mathematics operates a Mathematics Tutorial Center where students enrolled in all mathematics courses may obtain individual assistance. In addition, some courses will use tutoring software which is available for students in BANC 173 and SIMS 114.
The Department embraces the use of technology: all students in calculus courses are now required to take MAED 200: Introduction to Mathematica. This course introduces students to Mathematica, which is a mathematical software package of amazing power. | 677.169 | 1 |
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angle suplements, angle complements and radical expressions were a nightmare for me until I found Algebrator, which is really the best algebra program that I have ever come across. I have used it through many math classes – Algebra 2, Algebra 2 and Algebra 1. Simply typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my math homework would be ready. I truly recommend the program. | 677.169 | 1 |
This identify encompasses a publication and a pair of audio CDs. Basque is the language spoken by means of the Basque those that dwell within the Pyrenees in North primary Spain and the adjacent area of south west France. it's also spoken through many immigrant groups world wide together with the united states, Venezuela, Argentina, Mexico and Colombia.
Uncomplicated Algebra is a piece textual content that covers the normal issues studied in a contemporary user-friendly algebra direction. it really is meant for college kids who (1) don't have any publicity to common algebra, (2) have formerly had an uncongenial event with easy algebra, or (3) have to overview algebraic thoughts and methods.
Additional resources for Elementary Experiments in Psychology
Example text
But the question arises: Which curves in the xy-plane are graphs of functions? This is answered by the following test. The Vertical Line Test A curve in the xy-plane is the graph of a function of x if and only if no vertical line intersects the curve more than once. The reason for the truth of the Vertical Line Test can be seen in Figure 13. If each vertical line x a intersects a curve only once, at ͑a, b͒, then exactly one functional value is defined by f ͑a͒ b. But if a line x a intersects the curve twice, at ͑a, b͒ and ͑a, c͒, then the curve can't represent a function because a function can't assign two different values to a.
87 The function P is typical of the functions that arise whenever we attempt to apply calculus to the real world. We start with a verbal description of a function. Then we may be able to construct a table of values of the function, perhaps from instrument readings in a scientific experiment. Even though we don't have complete knowledge of the values of the function, we will see throughout the book that it is still possible to perform the operations of calculus on such a function. C. Again the function is described in words: C͑w͒ is the cost of mailing a large envelope with weight w. | 677.169 | 1 |
Using the Symmetries of the Cube and Tetrahedron as a Vehicle for Introducing Some Clifford Algebra to High School Students and Undergraduate College Students
Abstract
This paper outlines how Clifford Algebra can be presented to high school or college students to deal with the symmetries of the Platonic solids. I concentrate on the cube but all five solids are discussed.
Mathematics Subject Classification
51-01 97-01
Keywords
Rotations Symmetry groups for the cube and tetrahedron Clifford algebra for high school and undergraduate college students Platonic solids | 677.169 | 1 |
* "Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics.
* The book contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics.
* The problems are clustered by topic into self-contained sections, that begin with elementary facts, followed by a number of carefully selected problems and an extensive discussion of their solutions.
* Should benefit undergraduate students, advanced high school students, instructors, and coaches.
* "Treasures" is similar in structure to "Challenges", but with more emphasis on unconventional examples, essay answers, and creative thinking.
"synopsis" may belong to another edition of this title.
From the Back Cover:
"Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus of "Treasures" is on engaging a wider audience of undergraduates to think creatively in applying techniques and strategies to problems in the real world.
The problems are clustered by topic into self-contained sections. Unlike "Challenges," however, "Treasures" begins with elementary facts, followed by a number of carefully selected problems and an extensive discussion of their solutions. This discussion then leads to more complicated and more intellectually challenging problems, as well as their solutions. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools and strategies that will be useful beyond the classroom and in a number of disciplines.
"Mathematical Olympiad Treasures" reflects the depth of experience of two seasoned professors and coaches from the United States and Romanian Olympiad teams. | 677.169 | 1 |
Department of Mathematics
Mathematics originated in handling the concepts of number, magnitude, and form in prehistoric ages, and has been developing ever since. On the one hand, mathematics develops for its own sake, without aiming at specific applications. Meanwhile, because of its abstract and logical nature, mathematics is the foundation of various other disciplines, including the natural sciences, engineering, medicine, and the social sciences. In reality, there is no clear dividing line between pure and applied mathematics, and their interaction sometimes brings us unexpected breakthroughs.
The department of Mathematics consists of 6 research groups, all of which have been making substantial contributions to the developments of mathematics. Our department is ranked among the top three in the country.
We offer a program with 32 new students enrolled annually leading to post-gradute degrees of Masters of Science. We also offer a Ph.D. program with possibly 16 new students enrolled annually. In addition, there is a special program that excellent undergraduate students with strong mathematical backgroud can be enrolled in the graduate school before graduation. So far, ten students successfully used this program.
Graduate courses are prepared so as to meet various demands of students. Besides introductory courses for first year students, a number of topics courses are given for advanced students. Students learn more specialized topics from seminars under the guidance of thesis advisors.
Our department has our own library equipped with about 500 academic journals and 50,000 books in mathematics, both of which graduate students can use freely. Also by an online system, students as well as faculty members can look up references through Internet. | 677.169 | 1 |
Introduction
Abstract
This book is about the study of systems of differential equations (DEs), or more precisely, systems of 1st-order ordinary differential equations. As we shall see, any higher-order system of differential equations can be reduced to a 1st-order system and thus the study of first-order systems suffices for the general theory. Many systems of differential equations model the motion of something, and for this reason systems of DEs are often referred to as dynamical systems.
The purpose of this introduction is not only to present a number of examples which serve to illustrate the main concepts and ideas involved in the study of dynamical systems, but also to give some of the initial mathematical definitions for these concepts. Do not be concerned with the complexity of some of these examples or the physics behind them. For now, just read and get an overview of what dynamical systems are (if you do not already have experience with them from elsewhere). | 677.169 | 1 |
Applications of Exponential Growth or Decay Precalculus Project You have studied Exponential growth and decay functions. You will now investigate...
Applications of Exponential Growth or DecayPrecalculus ProjectYou have studied Exponential growth and decay functions. You will now investigate this topic in detail for the next weeks and will make a final presentation.1.You will be researching this topic for the •Background (History; who, why, what)•Applications in the real world. (General applications in 2-3 areas)2.You will identify how it can be used specifically in oneof the following fields: •Health (disease control)•Nuclear Reaction•Seismology, Geology•Human Resources (population growth)•Marketing•Finances (banking and interest)•Environmental Science (ecology, waste management)•Computer Science (internet traffic)3.You will define the following in your own wordsterms and explain the relevance:•Initial amount•Principal•Rate•Doubling time•Half-life•Natural base e4.You will find one real world problem, see #2 above, and apply the method of exponential growth or decay to solve a problem. You will identify what the problem is showing all steps in the process and find a solution. You will use multiple representation of the problem; tables, graphs, function models (equations f(x)). You may use excel or the graphing calculator but the process used must be included in your presentation.Specifically, I am looking for a presentation of 10-12 minutes. It will include all of the above. If the worked out problem includes any technology, (graphing calculator, spreadsheet, etc.) a printout should be included. It will be presented in class the week before the final exam and will count as half(50%) of your final exam grade.Extra Credit:Find a book that could be used as an "anchor text" for your senior project which goes into detail on this topic and discusses the many applications of exponential growth and decay | 677.169 | 1 |
All the math you'll ever need : a self-teaching guide by Stephen L Slavin(
Book
) 13
editions published
between
1989
and
1999
in
English
and held by
1,536 WorldCat member
libraries
worldwide
Reviews the practical math skills used in everyday personal and professional life; offers techniques for working with decimals
and fractions; and demonstrates methods of figuring discounts, calculating interest rates, and working out time, rate, and
distance problems
Practical algebra : a self teaching guide by Peter H Selby(
Book
) 4
editions published
in
1991
in
English
and held by
982 WorldCat member
libraries
worldwide
The fundamentals of algebra and how it relates to arithmetic
Economics : a self-teaching guide by Stephen L Slavin(
Book
) 36
editions published
between
1988
and
2014
in
English
and held by
736 WorldCat member
libraries
worldwide
Math essentials : conquer fractions, decimals, and percentages--get the right answer every time! by Stephen L Slavin(
Book
) 4
editions published
between
1998
and
2000
in
English and Undetermined
and held by
662 WorldCat member
libraries
worldwide
Provides the skills needed to compute answers to everyday calculations and refresh rusty math skills and sharpening current
skills. Helps overcome math anxiety by reviewing vital math skills, from dealing with word problems to calculating odds and
percentages. Exercises are in test format providing practice for test-taking
Chances are : the only statistics book you'll ever need by Stephen L Slavin(
Book
) 2
editions published
in
1998
in
English
and held by
470 WorldCat member
libraries
worldwide
A hands-on guide to learning statistics, discussing presentation, arithmetic operations, frequency distributions, percents,
probability, and other topics; with chapter reviews, exercises, and solutions
Precalculus : a self-teaching guide by Stephen L Slavin(
Book
) 9
editions published
between
2001
and
2005
in
English
and held by
365 WorldCat member
libraries
worldwide
This self-teaching guide includes an algebra review and complete coverage of exponential functions, log functions, and trigonometry.
The book also features frequent self-tests and exercises
Geometry : a self-teaching guide by Stephen L Slavin(
Book
) 10
editions published
between
2003
and
2005
in
English
and held by
352 WorldCat member
libraries
worldwide
An unbeatable study companion for geometry students This thorough, easy-to-use guide from the author team behind the precalculus
Self-Teaching Guide walks students through key concepts in geometry. Students work at their own pace as they progress through
plane, solid, and analytic geometry, ending with geometric applications for calculus
Macroeconomics by Stephen L Slavin(
Book
) 26
editions published
between
1994
and
2014
in
English
and held by
317 WorldCat member
libraries
worldwide
Introduces more math review than other products to help students get past math phobias through consistent practice. This book
encourages students to fill in tables and graphs and work problems as they read to actively engage with the material
Microeconomics by Stephen L Slavin(
Book
) 26
editions published
between
1994
and
2014
in
English and Undetermined
and held by
298 WorldCat member
libraries
worldwide
Presents a student-friendly, step-by-step approach. This book introduces math review to help students get past math phobias
through consistent practice. It allows students to fill in tables and graphs and work problems as they read to actively engage
with the material
The great American economy : how inefficiency broke it and what we can do to fix it by Stephen L Slavin(
Book
) 2
editions published
in
2017
in
English
and held by
169 WorldCat member
libraries
worldwide
Many Americans feel that the economy is no longer working for them and that "the American Dream" has become a sham. This book
explains the underlying reasons for this gloomy outlook and lays out a clear plan for making the American economy work for
everyone, not just the top 1 percent. The heart of the problem, says economist Steve Slavin, is gross inefficiency. Since
the end of World War II, America has been wasting vast amounts of its resources. As examples he cites the following key sectors:
Healthcare--we spend nearly twice as much as other industrialized nations but achieve no better results; Education--just half
of our eighteen-year-olds can function at an eighth-grade level, while many European and Asian countries do far better educating
their young people; Transportation--by relying on cars instead of mass transit, we spend much more than comparable nations;
The military--several decades after the Cold War our military budget continues to be almost 40 percent of the world's total
military spending, while few politicians ever question the necessity for such massive outlays. In these areas and other sectors
of the economy, Slavin proposes sweeping changes to eliminate inefficiency. These would include a restructuring of our healthcare
system to make it affordable for all, a major push toward public transportation, increased emphasis on quality results from
our education system, ways to eliminate waste throughout our vast military-industrial complex, and a renewed emphasis on manufacturing.--
Business math by Stephen L Slavin(
Book
) 7
editions published
in
2007
in
English
and held by
126 WorldCat member
libraries
worldwide
"Building on Slavin's Quick Business Math: A Self-Teaching Guide, this text creates a concise introduction to the general
principles of a business math course. Introducing Business Math defines basic terms and concepts, describes the key features
and characteristics of strategies and tools that practitioners use in their field, and provides students with a strong background
with which to apply their newly acquired knowledge"--Publisher's description
Introduction to economics by Stephen L Slavin(
Book
) 12
editions published
between
1989
and
1996
in
English
and held by
125 WorldCat member
libraries
worldwide
Jelly bean economics by Stephen L Slavin(
Book
) 2
editions published
in
1984
in
English
and held by
95 WorldCat member
libraries
worldwide
Basic mathematics by Stephen L Slavin(
Book
) 4
editions published
between
2002
and
2006
in
English
and held by
36 WorldCat member
libraries
worldwide
Math basics made easy : teach yourself how to add, subtract, multiply and divide by Stephen L Slavin(
) 2
editions published
in
2012
in
English
and held by
0 WorldCat member
libraries
worldwide
There's an unspoken weak spot in our society, most adults can't do basic math. Singing Turtle Press, publisher of the award-winning
Algebra Survival Guide, is coming to the rescue, though, with a new book that helps adults master foundational math concepts.
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Heya peeps ! Is someone here know about 6th +garde math book? I have this set of problems regarding it that I just can't figure it out . Our class was tasked to answer it and understand how we came up with the answer . Our Algebra professor will select random people to answer it as well as explain it to class so I need comprehensive explanation about 6th +garde math book. I tried answering some of the questions but I guess I got it completely incorrect. Please help me because it's a bit urgent and the deadline is close already and I haven't yet figured out how to solve this.
I have a good recommendation that could help you with math . You simply need a good software to clarify the problems that are hard . You don't need a private teacher, because firstly it's very costly , and secondly you won't have it near you whenever you need help. A software is better because you only have to purchase it once, and it's yours forever . I advice you to check out Algebra Helper, because it's the best. Since it can solve almost any algebra problems , you will surely use it for a very long time, just like I did. I purchased it a long time ago when I was in Remedial Algebra, but I still use it sometimes .
Registered: 16.04.2003
From: the wastelands between insomnia and clairvoyance
Posted: Wednesday 10th of Apr 07:57
I agree. Algebra Helper not only gets your homework done faster, it actually improves your understanding of the subject by providing very useful tips on how to solve similar problems . It is a very popular online help tool among students so you should try it out.
Wow, that's amazing news ! I was so annoyed but now I am quite thrilled that I will be able to improve upon my grades! Thank you for the reply guys! So then I just have to get the software and do my homework for tomorrow. Where can I find out more about it and purchase it?
I understand, math programs are always limited to mathematical symbols only. But this program has taken things a step further. Visit and experience it for yourself.
I remember having difficulties with side-angle-side similarity, point-slope and decimals. Algebra Helper is a truly great piece of algebra software. I have used it through several math classes - Algebra 2, Intermediate algebra | 677.169 | 1 |
Learn how to use matrix operations to determine the probabilities that an object will end up at a certain location. The lesson is designed as an introduction to matrix operations and is a step-by- step guide through the process that can be used in many secondary math classes. | 677.169 | 1 |
Algebra: In Simplest Terms
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This comprehensive, 26-program course takes the viewer step by step to a thorough understanding and working knowledge of the concepts and practical, real-life applications of algebra. Using on-location documentary segments, studio presentations, and state-of-the-art computer graphics to provide the most effective means of communicating course material, the course offers an innovative and varied approach to instruction. | 677.169 | 1 |
About this product
Description
Description
This write-in workbook is an invaluable resource to help students improve their Maths and English skills and help prepare for Level 1 and Level 2 Functional Skills exams. The real-life questions are all written in a Plumbing context to help students find essential Maths and English theory understandable, engaging and achievable. Written by Gary Taylor, lecturer with a wealth of experience in the Construction Multi-Skills and Plumbing industries, this workbook is an effective resource to support Maths and English learning in the classroom, at work and for personal study at home.
Author Biography
Andrew Spencer has studied education both within Australia and overseas. He has a Bachelor of Education, as well as a Masters of Science in which he specialised in teacher education. Andrew has extensive experience in teaching secondary mathematics throughout New South Wales and South Australia for well over fifteen years. He has taught a range of subject areas including Maths, English, Science, Classics, Physical Education and Technical Studies. His sense of the importance of practical mathematics continued to develop with the range of subject areas he taught in. Adapting UK author Gary Taylor is a lecturer with a wealth of experience in the Construction Multi-Skills and Plumbing industries. | 677.169 | 1 |
construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language of proof construction and critical analysis. Randall Maddox guides the reader with a warm, conversational style, through the task of gaining a thorough understanding of the proof process, and encourages inexperienced mathematicians to step up and learn how to think like a mathematician. A student's skills in critical analysis will develop and become more polished than previously conceived. Most significantly, Dr. Maddox has the unique approach of using analogy within his book to clarify abstract ideas and clearly demonstrate methods of mathematical precision. | 677.169 | 1 |
R.G. Bartle - The Elements of Integration
There was a time when an undergraduate student of mathematics was expected to develop technique in solving problems that involved considerable computation; however, he was not expected to master theoretical subtleties such as uniform convergence or uniform continuity. The student was expected to be able to use the Implicit Function Theorem, but was not expected to know its hypotheses. The situation has changed. Now it is generally agreed that it is important for all students — whether future mathematicians, physicists, engineers, or economists — to grasp the basic theoretical nature of the subject. For, having done so, they will understand both the power and the limitation of the general theory and they will be better equipped to devise specific techniques to attack particular problems as they arise.
This text has developed from my experience in teaching courses in elementary real analysis at the University of Illinois since 1955. My audience has ranged from well-prepared freshman students to graduate students; the majority in these classes are usually not mathematics majors. Generally they have taken at least the equivalent of three semesters of non-rigorous calculus, including multiple integrals, vector calculus, line integrals, infinite series, and the like.
It would be desirable to have the students take a semester either in linear or modern algebra before this analysis course, for such a background facilitates the study of rigorous analysis. However, since the students I encounter do not all have this background, I purposely delay the study of analysis and first explore the notion of an ordered field to provide practice in giving proofs. Thus the first six sections of this text are mostly preparatory in nature; they can be covered in about three weeks in a normal class and more rapidly in a well-prepared one. | 677.169 | 1 |
CHECK ALGEBRA HOMEWORK
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Mathematics Infographic about the Quadratic Equation
Use this review to help students understand the different aspects of quadratic functions. Transformations, roots, zeros, line of symmetry, vertex, minimum and maximum points can be easily referenced by students. Your students will love it! Now included is a fill in the blank option.
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Resources
Course Resources
MATH 140A: Real Analysis
What is it about?
Part A of the sequence first contends with question: what is a real number? In following this course, it will be revealed that there are actually several equivalent answers to this question, whether it be a construction of the real numbers through dedekind cuts or cauchy completion of the set of rational numbers. Later on, the course will provide you some basic ideas in topology and an introduction to an important idea: a metric. See, as it turns out, there are actually many ways to define distance on a set other than the euclidean metric. In having to deal with any arbritrary metric that could possibly be defined, a study of metric spaces and properties derived from subsets of metric spaces are sessed out in brutal, yet interesting detail. Exotic and curious conterexamples, like the cantor set or the discrete metric, will challenge your preconceived notions of how the theory of metric spaces work!
How does this course fit into the bigger picture of Mathematics?
Mathematical analysis and metric spaces is the cornerstone of analyzing properties of sequences, functions, spaces, transformations and equations. Also, the inherent rigour of this course provides you a glance of what it may take to prove ideas in other fields of mathematics.
Where can I apply this material?
Successive approximations is intimately tied with numerical analysis
Point-set Topology
How difficult is the material?
There are several sources of difficulty. For instance, this course may be the first time that mathematical rigour is applied to proofs which are not necessarily trivial. Additionally, not all proofs are obvious through 'plugging' and 'chugging' assumptions until you reach the conclusions. Many times you will have to take a step back and understand the mechanism of how assumptions can lead to a conclusions. Many other times, you might need to rely on a 'trick' or a necessary identity in order to complete a proof. | 677.169 | 1 |
The first thing you need to know is that Math Composer is meant for math teachers and/or instructors. And the second thing you need to know about Math Composer is that it is a tool you can use to create a variety of math documents, such as math tests, math worksheets, math exams, and so on. The application covers arithmetic, geometry, algebra, trigonometry, calculus, physics and chemistry.
The minimum system requirements for running Math Composer are: Pentium 350MHz processor or better, 128MB of RAM memory, 20MB of free disk space, monitor capable of 800 x 600 resolution, Windows operating system (98, XP, Vista, or 7). After looking at these requirements, it's safe to say that any modern PC can easily meet these system requirements. It must be mentioned here that Mac OS X is not supported and there are no plans to add support for this operating system.
The project you're working on takes up the main part of the application's interface; you can also find a File Menu and a toolbar with buttons for various functions the application has to offer. This simple layout makes it very easy to get accustomed to the Math Composer interface.
When you launch the application you are presented with a "Welcome to Math Composer" prompt that allows you to load some sample projects. You are well advised to do so – it will help you see what you can do with this application. Speaking about that, here's a quick look at Math Composer's main features: create various diagrams or figures using snap-together elements, edit quotations and text with the full-featured test and equation editor, create any style of coordinate grid, graph any equation you want, print out documents, and more. You have 30 days to uncover all the features and play with all the functionality Math Composer has to offer.
Create diagrams, edit text, create grids, edit equations – these functions and more are put at your disposal by Math Composer so you can create math documents.
Pros The minimum requirements for running Math Composer are quite low; installing Math Composer will take little time and effort. There are some samples you can load. The interface is very easy to use. With Math Composer you can create diagrams and figures, edit text and equations, create grids and graphs, and more. | 677.169 | 1 |
Applied Mathematical and Physical Formulas Pocket Reference
If complex mathematical formulas are your nemesis, then this is the book for you! Comprehensive, practical and dependable, this text brings together, in three parts, thousands of formulas, rules, and figures that allow the reader to simplify, evaluate, and/or refresh information learned in school. This desktop reference shows how to solve every kind of math and physics problem a person is likely to encounter in both school and business. Applied Mathematical and Physical Formulas Pocket Reference explains plainly how to find answers quickly, learn key formulas and definitions effortlessly, study rapidly and learn more effectively ‐ from primary mathematical rules to physical definitions and constants.
Features
Presents all formulas, rules and definitions accurately and clearly.
Covers metric units of measurement by use of U.S. units of measurement (USCS) and tables of equivalence metrics.
Reviews the essentials of algebra, geometry, trigonometry and analytical geometry.
Conveys the application of differential equations and integral calculus fundamentals. | 677.169 | 1 |
Students frequently have difficulty determining whether a given real-life situation is best modeled as a linear relationship or as an exponential relationship. One root of such difficulty is the lack of deep understanding of the very concept of "rate of change." The authors will provide a lesson that allows students to reveal their misconceptions and improve their understanding of this significant concept as they explore the structural connections between these two mathematical relationships. Students will develop flexible thinking by comparing the structure of linear and exponential relationships and translating fluently between and within representations. The lesson focuses on tabular, graphical, and algebraic representations in a way that allows time for rich discussions and debate. The lesson is best used after students have some experience working with linear and exponential relationships separately, typically toward the end of a first-year algebra class or an integrated mathematics class. (Contains 4 figures and 2 tables.) | 677.169 | 1 |
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Fun math practice improve your skills with free problems in 'solve a system of equations by graphing: word problems' and thousands of other practice lessons. Free interactive calculus calculator for derivatives, integrals or anything else you might want to calculator just type it directly into this free online tool. Online precalculus video lessons to help students with the notation, theory, and problems to improve their math problem solving skills so they can find the solution. Browse and read pre calculus problem solver problem solvers solution guides pre calculus problem solver problem solvers solution guides dear readers, when you are.
Pre calculus represents the advanced form of algebra that has many topics such has sets,real numbers complex numbers,inequalities,quadraticfunctions. | 677.169 | 1 |
Mathematical Model
May 1st, 2015
Studypool Tutor
Price: $10 USD
Tutor description
)
Mathematical ModelMathematical model), but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, statisticians, operations research analystsand economists use mathematical models most extensively. Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap, with a given model involving a variety of abstract structures. Examples of mathematical modelsPopulation Growth. A simple (though approximate) model of population growth is the Malthusian growth model. A slightly more realistic and largely used population growth model is the logistic function, and its extensions. Model of a particle in a potential-field. In this model we consider a particle as being a point of mass which describes a trajectory in space which is modeled by a function giving its coordinates in space as a function of time. The potential field is given by a function V : R3 R and the trajectory is a solution of the different | 677.169 | 1 |
Listed below are the topics that will be on your final
exam. Please DO NOT PANIC! All of the problems are the easier types for
each topic. Many of the items from the
beginning we have still been applying.
You will survive! I chose topics that we either haven't done in a while or that are a little more difficult and posted videos of them for you to study. Let me know if you have any questions. May the Final exam be ever in your favor.
Decimal to percent
Is/of = percent/100
Percent increase/decrease
Discounts
Simple interest
Solutions of equations
Solving systems
Complex Fractions
Sum of interior/exterior angels
Area of rectangle
Volume of cylinder
Surface area of prism
Pythagorean Theorem
Special triangles
Simplifying radicals
Factoring
Solving Quadratic Equations
Distance Rate problems
Work Rate problems
Simplifying expressions
Evaluate expressions
Order of operations
Solve equations/inequalities
Variable expressions
Simplifying expressions
Absolute values
Exponent rules
Fraction operations
Items in blue were not specifically covered in class and will be offered as extra credit on the final exam | 677.169 | 1 |
Mathematics and Finance
The financial crises of the past decade have shown financial markets to be very dynamic, affecting many aspects of our lives. And that there is a growing demand for people with insight in financial mathematical models and their suitability to model aspects of the (financial) world. The breadth, width, and diversity, of products, processes, and regulations in the financial world is staggering and quantitative models are everywhere and play a dominant role. So, both knowledge of the former and insight and skill regarding the latter are necessary to participate in this world, too much to cover in one minor program. What is possible is this: introduce you to some important areas of finance and at the same time create an opportunity to find out what it would take to go deeper into the field of mathematics (perhaps specializing in Financial Engineering, but not necessarily).
Specifically, in this minor you encounter the three core finance courses from the minor Finance as well as a more rigorous mathematics course named Probability for Finance, a bit like you might find in the master Applied Mathematics and which requires the course Mathematical Structures as preparation. To be honest, the course is more probability than finance, and this is because if you want to truly understand some of the models used in finance, some deep and fundamental (more than you are used to) mathematics is needed. So, doing these courses you can prepare yourself a bit (in case you want to continue in math) and find out what studying mathematics or mathematical finance would entail and whether you like that or not. It is a selection minor because it is a demanding minor and we want to ensure as much as we can that those who take it do this for the right reasons and have a high probability to succeed.
Intended for
Students from LR, WB, MT, TN, MST, TI, EE, and TW (see note below), provided they possess ample prerequisite skills and knowledge. Good knowledge of and strong skills in mathematics, enthusiasm for abstract mathematics. Specifically required: probability and statistics at the level of TU courses based on A Modern Introduction to Probability and Statistics by Dekking et al, or equivalent. Being able to solve three quarters of the problems from the book, and not just the computational exercises but also the insight ones, is what you should aim for.
Learning objectives
After successful completion of the minor Mathematical and Finance the student:
understands the workings of a number of financial products and the interaction between products in financial markets;
has some experience with the application of probabilistic and statistical methods in financial and economical problems;
has acquired the skills to work with concepts and structures required for a rigorous foundation of (abstract) analysis and stochastics;
has acquired knowledge and skills to manipulate and analyse, with mathematical rigor, stochastic processes and models relevant for finance.
The diagram below provides an overview of the minor Finance and the minor Mathematics and Finance and should help you decide which suits you best. Three of the courses are considered core finance courses and present in the programme of both minors, these are the red squares. For the minor Finance one should add the green courses, for Mathematical and Finance the blue ones. The courses are plotted with respect to two axes, the horizontal one ranging from fundamental to applied and the vertical one ranging from general to (more specific) finance. The character of each minor is now clear from the picture: Mathematics and Finance adds courses on the fundamental side, Finance on the applied side. Some courses are in fact quite general in nature, but focus on finance applications (Time Series, Monte Carlo).
Courses
Principles of Asset TradingWI3418TU, 6 ECTS Financial products are used in two ways: as an investment and as a means of attracting investors. How does this work and how can one make smart choices? What choices do companies make to finance their ventures?
Option Valuation Methods WI3405TU, 6 ECTS While doing Matlab assignments you are introduced to the partial differential equation of Black and Scholes (Nobel prize 1997). You learn to price several kinds of options by computer algorithms. Insights from stochastic models are transformed into numerical methods to price and hedge products and portfolios.
Introduction to Mathematical Finance WI3417TU, 6 ECTS This course is at the mathematical core of the minor. It focuses on building and analyzing models that can be applied in finance. An example is the stochastic model for stock or interest rate movement, which provides a basis to price American options.
Mathematical Structures TW1010, 6 ECTS This course covers basic structures from mathematics, such as the natural numbers, induction, real numbers and completeness, functions and continuity, convergence of sequences of numbers and functions as well as series of them. All this is needed to attain the entrance level of the next course:
Probability for Finance TW3401TU, 6 ECTS Mathematical finance requires a more rigorous foundation in probability than (non-mathematics) students are familiar with. This course covers probability essentials built on this foundation. Mathematical Structures and Introduction to Mathematical Finance are prerequisites. In addition to expanding your knowledge about probability, doing this course will train you in reading tersely written mathematical texts. It is a tough course, but fun!
Clinic WI3420TU, 0 ECTS Weekly drop-in service hour: one of the instructors is available for questions and the department aims to have work space available. Entirely optional!
Note for AM students As Mathematical Structures is part of the BSc programme Applied Mathematics, for you this course of the minor Mathematics and Finance is replaced by Times Series and Risk Management. However, the minor Mathematical Finance was created not specifically for you, for the following reason: if you do the minor Finance and choose TW3560 (Voortgezette Kansrekening) you have something which is almost equivalent to the combination of both finance minors, a minor Finance XL.
The motivation letter should consist of a numbered list, addressing the following four items/questions. For each, write a short and original answer of no more than 60 words.
Why you want to enrol in this minor and not the (regular) minor Finance?
The mathematics courses in this minor are hard---why do you think you can do it?
What is the most interesting and/or beautiful piece of mathematics you know? Why?
Anything you might want to add that may convince us this minor really is for you.
What is important for you to know is that this is a demanding minor, intended for students that know why they want to do it and that are willing to do the hard work it takes to learn and practice the mathematicians way of thinking (which almost surely is different from what you are used to). The selection procedure is intended to ensure as much as we can that you have chosen it for the right reason and that you have what it takes to succeed. | 677.169 | 1 |
Michael Ruhlman's groundbreaking New York Times bestseller takes us to the very "truth" of cooking: it is not about recipes but rather about basic ratios and fundamental techniques that makes all food come together, simplyRatio and Proportion—Research and Teaching in Mathematics Teachers' Education offers its readers an intellectual adventure where they can acquire invaluable tools to turn teaching ratio and proportion to professionals and school children into an enjoyable experience. Based on in-depth research, it presents a deep, comprehensive view of the topic, focusing on both the mathematical and psychological-didactical aspects of teaching it. The unique teaching model incorporates both theoretical and practical knowledge, allowing instructors to custom-design teacher courses according to their speci?c needs. The book reports on hands-on experience in the college classes plus teachers' experience in the actual classroom setting. An important feature is the extensive variety of interesting, meaningful authentic activities. While these activities are on a level that will engage pre- and in-service mathematics teachers in training, most can also be utilized in upper elementary and middle school classes. Accompanying the majority of these activities are detailed remarks, explanations, and solutions, along with creative ideas on how to conduct and expand the learning adventure. While primarily written for educators of mathematics teachers, this book can be an invaluable source of information for mathematics teachers of elementary and middle school classes, pre-service teachers, and mathematics education researchers.
Ratios provide an extremely effective method of understanding company accounts. At their most basic this usually involves taking one figure from the published accounts and dividing it by another - however, this seemingly simple process can reveal an enormous amount about both the nature and performance of a company. 'Ratios Made Simple' looks at ratios from the perspective of an investor, providing a toolkit for investors to use to accurately analyse a company from its accounts. This book is divided into nine chapters, with each chapter looking at a different aspect of potential concern to an investor: 1. Profitability Ratios 2. Investment Ratios 3. Dividend Cover 4. Margins 5. Gearing 6. Solvency Ratios 7. Efficiency Ratios 8. Policy Ratios 9. Volatility For each ratio, financial expert Robert Leach provides a detailed definition, explains how it works, describes its use. Investors are also given a simple explanation of how to calculate each ratio, what the ratio means and how the investor should apply the answers in making investment decisions. This book provides the investor with an essential guide to the use of these powerful analytical tools - tools that should form a vital part of an investor's decision-making process.
Required reading for anyone starting, running, or growing a business, Business Ratios and Formulas, Second Edition puts answers at the fingertips of business managers, with nearly 250 operational criteria and clear, easy-to-understand explanations that can be used right away. The Second Edition includes approximately fifty new ratios and formulas, as well as new chapters covering ratios and formulas for e-commerce and human resources and projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Studies on the evolutionary aspects of diet and molecular studies included in this volume indicate that human beings evolved on a diet that was balanced in the essential fatty acids (EFA). In fact, the ratio of omega-6/omega-3 EFA was 1/1 whereas present day diets in both developed and developing countries have a much higher ratio, between 5/1 and 50/1. Additional studies show that a high ratio of omega-6/omega-3 EFA is detrimental to health and may lead to the development of chronic diseases. Improving the dietary ratio by decreasing the omega-6 fatty acids and increasing the omega-3 fatty acids is essential for brain function and for the management of cardiovascular disease, arthritis and cancer. A ratio of 4/1 or less leads to lower dosage and to the reduction of adverse effects of drugs. This volume should be of interest to a large and varied audience of researchers in academia, industry, and government; cardiologists, geneticists, immunologists, neuroscientists, and cancer specialists; as well as nutritionists, dietitians, food scientists, agriculturists, economists and regulators.... The From the Hardcover edition. | 677.169 | 1 |
Solving Differential Equations
Differential equations, those that define how the value of one variable changes with respect to another, are used to model a wide range of physical processes. You will use differential equations in chemistry, dynamics, fluid dynamics, thermodynamics, and almost every other scientific or engineering endeavor. A differential equation that has one independent variable is called an ordinary differential equation or ODE. Examples of ODEs include the equations to model the motion of a spring or the boundary layer equations from fluid dynamics. A partial differential equation (PDE) has more than one independent variable. The Navier-Stokes equations are an example of a set of coupled partial differential equations ...
With Safari, you learn the way you learn best. Get unlimited access to videos, live online training,
learning paths, books, interactive tutorials, and more. | 677.169 | 1 |
NCERT Solutions for CBSE Class 10 Maths
Gurmeet Kaur
Dec 14, 2017 10:54 IST
Class 10 Mathematics NCERT Solution
To develop better foundation on every concept, NCERT books play a vital role. With simple and easy language, they ensure a better understanding of all tough and advanced concepts. A detailed analysis of the last 10 years exam question papers of board classes, it is found that most of the questions have been asked from the NCERT textbooks.
Some of the prominent reasons to follow the NCERT books, are: • NCERT books cover the basics and fundamentals on all topics of Physics, Chemistry and Biology. • NCERT books are written and published by highly educated and reputable persons and institutions after a great research. • NCERT books explain all the concepts in a very simple and lucid manner.
Practice NCERT Exercise Questions:
At the end of every chapter of NCERT books, some questions are given from the whole set of topics included in the chapter. These questions are provided to test the students' understanding and learning over the topics that they have learned in the chapter. Practicing the NCERT exercise questions, will help students get a strong hold on the given topics and concepts and help them prepare well for the final exams.
So if you want to achieve the maximum marks in the board exams then make it a habit to read the NCERT books thoroughly and solve the exercise questions given at the end of every chapter. This will surely help you to get the desired results.
Thus, keeping in mind the immense importance and significance of the NCERT Textbooks for a student, Jagranjosh experts have prepared the chapterwise NCERT Solutions for Class 10th Mathematics. | 677.169 | 1 |
traditional A level Mathematics text book in use in the '70s and '80s in UK Schools. It covers all of the material needed for the Pure Mathematics part of the curriculum namely Equiations and Inequalities, Graph sketching,Partial Fractions, Logaritmic and Trigonometric functions, Calculus (Differentiation, Integration and Applications), and the basic conic section functions. Loads of worked examples and exercises mean that this book can be used as a complement to contemporary texts which tend to be a little thin in this area. The text does not cover "modern" topics such as matrices, groups, etc. but is nevertheless a good book to dip into. | 677.169 | 1 |
Hi, my high school classes have just started and I am stunned at the amount of "visual basic" creating font "root symbol" homework we get. My concepts are still not clear and a big homework is due within 3 days. I am really upset and can't think of anything. Can someone guide me?
I am a frequent user of Algebrator and it has really helped me understand math problems better by giving detailed steps for solving. I highly recommend this online tool to help you with your algebra stuff. You just need to follow the instructions given there.
I remember having often faced difficulties with scientific notation, multiplying matrices and dividing fractions. A really great piece of algebra program is Algebrator software. By simply typing in a problem homework a step by step solution would appear by a click on Solve. I have used it through many math classes – Algebra 2, Intermediate algebra and Intermediate algebra. I greatly recommend the program. | 677.169 | 1 |
The instruction manual of arithmetic for Engineers and Scientists covers the most fields of arithmetic and makes a speciality of the tools used for acquiring suggestions of assorted periods of mathematical equations that underlie the mathematical modeling of various phenomena and methods in technology and know-how. to deal with various mathematical backgrounds, the preeminent authors define the fabric in a simplified, schematic demeanour, fending off specific terminology anywhere attainable.
Person review is a certified perform vital to Human source Managers, Executives and somebody making judgements approximately staff. eventually, we have a transparent, functional advisor with methodologically-grounded descriptions of the way to effectively do it. The authors have prepare a special new publication with the next key good points: *case reviews and utilized examples displaying "how to" behavior person overview; *the booklet offers the reader with a conceptual constitution and the study and literature helping the method; and * it may be used as a textual content or supplemental textual content in classes on team of workers choice, evaluationQuick Examples 1. 2 2 √ + is in radical form. x 53 x 2x −1/3 + 2x −1 is not in radical form because x −1/3 appears. 5 1 is in radical form, but (1 + x 2 ) −1/2 is not. 3. √ 1 + x2 2. Exponential Form An expression is in exponential form if there are no radicals and all powers of unknowns occur in the numerator. We usually write such expressions as sums or differences of terms of the form Constant × (Expression with x) p quick Examples 1 As in x −3/2 3 2 4 x − 3x −1/3 is in exponential form. 3 6 x is not in exponential form because the second expression has x in the 2. | 677.169 | 1 |
Course Description
Although we may not always recognize it, we use basic geometry skills regularly in everyday life. For instance, we consider whether a picture on the wall is parallel with the floor, or we calculate the area of a room when installing new carpeting.
Geometry is also an integral part of many other areas of study, including physics and other natural sciences. This course provides a more rigorous mathematical foundation for both practical and theoretical geometric thinking.
The course begins by considering basic figures such as points, lines, and planes, and then expands into the concepts of parallelism and perpendicularity as well as more complicated geometric figures such as polygons (triangles, quadrilaterals, and so on) and circles. The course considers mainly two-dimensional figures, but two lessons on three-dimensional geometry provide more complete coverage of the subject.
Each successive lesson in the course builds on previous lessons, culminating in lessons that teach the student how to calculate lengths, areas, and volumes of more complicated figures. In addition to its in-depth discussion of the mathematical aspects of geometry, the course also includes lessons on how to draw various figures using a compass and straightedge as well as a lesson on strategy for solving real-world geometry problems.
The course concludes by applying all that the student has learned to a brief introduction to trigonometry, thereby providing a jumping-off point for a more rigorous study of geometry as well as other areas of mathematics. By the end of the course, the student should feel comfortable tackling a range of basic to moderately difficult geometry problemsThis self-paced All-In-One Math Course reviews the basics of arithmetic, algebra and geometry. This condensed course covers the following material: Arithmetic: reviewing the use of numbers, signs and symbols, how to perform various operations, how...
Fear fractions no more. And learn whether to add first or multiply first in a string of operations. Whether you are struggling with basic math functions in a course today, you are taking a new job that demands understanding of math, or you simply ne...
Beginner to Intermediate Algebra is intended for students who need to gather a basic understanding of how to perform Algebra operations. This course will benefit current students and adult learners who need to know how to perform basic Algebra opera...
This course will provide the learner with a better understanding of the underlying concepts of geometry. Through readings, lessons, quizzes and independent explorations, the learner will leave the course with more complete understanding of geometry ...
Calculus is a mathematical tool that is required in a variety of scientific, technical, and other professional fields. Because it is a higher-level area of math, many people think it is a subject that they can never understand. Unfortunately, such a...
Large sets of numbers can be daunting, and characterizing them in a few words or numbers can be even more daunting. This course considers how to take data sets--whether large or small--and describe them using a few numbers (descriptive statistics). ...
Find out how algebra is simply a natural extension of the math you learned in elementary school. Basic Algebra is designed for all students who need a basic understanding of algebraic operations including simplifying, factoring, solving equations an...
Physics is a foundational science on which many of the concepts of chemistry, geology, biology, and other natural sciences rely. Because physics is a math-intensive subject, it is sometimes intimidating to those who wish to study it. This course fo...
Perhaps nothing is more representative of modern technological culture than electronic devices. But how do these often mysterious black boxes really work? This course presents an overview of the fundamentals of electric/electronic circuit analysis, ...
Statistics are used in a variety of contexts ranging from scientific experiments to political advertisements and beyond. Because statistics can be used to mislead, an understanding of the topic can be helpful for more than just the mathematical skil...
An understanding of algebra is a foundational skill to virtually all topics in higher-level mathematics, and it is useful in science, statistics, accounting, and numerous other professional and academic areas. This course builds a bridge between sim...This online course will prepare you to take the GED (General Educational Development) test. The testing format will be explained and broken down to highlight the current four testing areas along with the content each of these sections will cover. T...
$150.00
3.7 CEUs 37h
Course Lessons
Average Lesson Rating:
"Extraordinarily Helpful"
(254 votes)
Lesson 1 - Geometry Terms and Motivation
To begin the course, we first discuss why the study of geometry can be beneficial, both in school and work as well as in daily life. 16 Total Points
Lesson 1 Video A
Lesson 1 Video B : How to Take an Exam
Review 2 Articles: Free Graph Paper Download; Geometry Glossary
Complete: Lesson 1 Assignment
Complete: Lesson 1 Exercises
Complete Exam: Lesson 1 Geometry Terms and Motivation
Lesson 2 - Geometric Reasoning and Measurement
To aid in our discussion of geometry, this lesson reviews some fundamental principles of geometric reasoning and measurement that will aid our analysis throughout the course. 10 Total Points
Lesson 2 Video
Review Article: Geometric Shapes
Complete Exam: Lesson 2 Geometric Reasoning and Measurement
Lesson 3 - Angles and Parallelism
In this lesson, we introduce the concept of an angle and discuss the relationships among angles formed by intersecting lines. 9 Total Points
Lesson 5 - Triangles II: Congruent Triangles
This lesson uses concepts from our introduction to triangles in the previous lesson and applies them to congruent triangles. 13 Total Points
Lesson 5 Video
Complete: Lesson 5 Exercises
Complete Exam: Lesson 5 Triangles II: Congruent Triangles
Lesson 6 - Triangles III: Similar Triangles
This lesson concludes our focus on triangles by considering another sense in which we can understand congruence and similarity 7 Total Points
Lesson 6 Video
Review Article: Similar triangles
Complete Exam: Lesson 6 Triangles III: Similar Triangles
Lesson 7 - Quadrilaterals
This lesson introduces quadrilaterals, or four-sided polygons. We study the basic properties of quadrilaterals and go on to identify special quadrilaterals and to derive formulas for their areas. 10 Total Points
Lesson 7 Video
Review 2 Articles: Quadrilateral Overview; Types of Quadrilaterals
Complete Exam: Lesson 7 Quadrilaterals
Lesson 8 - Polygons
Having studied three- and four-sided figures (polygons), we now turn to arbitrary n-sided polygons. 17 Total Points
Lesson 8 Video
Complete: Lesson 8 Exercises
Complete Exam: Lesson 8 Polygons
Lesson 9 - Circles
The course now turns from polygons to circles. A circle is vastly different from a polygon, and it requires a different approach to understanding its properties and calculating corresponding values. 10 Total Points
Lesson 9 Video
Complete Exam: Lesson 9 Circles
Lesson 10 - Composite Figures
This lesson combines the principles of previous lessons and applies them to composite figures, which are composed of (or can be broken down into) various simpler figures. 10 Total Points
Lesson 10 Video
Complete Exam: Lesson 10 Composite Figures
Lesson 11 - Classical Construction
This lesson takes a slight break from the analytical approach to geometry and considers how to perform some simple "classical constructions" using a pencil, compass, and straightedge. 10 Total Points
Lesson 11 Video
Review Article: Geometrical Construction
Complete Exam: Lesson 11 Classical Construction
Lesson 12 - Practical Geometry Problems
This lesson takes a break from introducing new geometry concepts and turns instead to application of what we already know to practical situations. 10 Total Points
Lesson 12 Video
Review Article: Geometry Word Problems
Complete Exam: Lesson 12 Practical Geometry Problems
Lesson 13 - Three-Dimensional Geometry I
In this lesson, we introduce three-dimensional geometry as an extension of two-dimensional geometry. 10 Total Points
Lesson 13 Video
Review Article: Solid Geometry
Complete Exam: Lesson 13 Three-Dimensional Geometry I
Lesson 14 - Three-Dimensional Geometry II
In this lesson, we extend our knowledge of two-dimensional geometry and what we have learned thus far about three-dimensional geometry to the analysis of simple polyhedra as well as spheres and cylinders. 10 Total Points
Lesson 14 Video
Complete Exam: Lesson 14 Three-Dimensional Geometry II
Lesson 15 - Geometry and Trigonometry
In this lesson, we introduce trigonometry, which expands on our knowledge of circles, angles, triangles, and other aspects of geometry. 53 Total Points
Lesson 15 Video
Take Poll: What do you think about this course?
Take Survey: Program Evaluation Follow-up Survey (End of Course)
Complete Exam: Lesson 15 Geometry and Trigonometry
Complete: The Final Exam
208
Total Course Points
Show More
Learning Outcomes
By successfully completing this course, students will be able to:
Define basic geometry terms.
Define geometric reasoning and measurement.
Describe angles and parallelism.
Describe properties of triangles.
Describe congruent triangles.
Describe similar triangles.
Solve problems involving Quadrilaterals.
Solve problems involving Polygons.
Solve problems involving circles.
Describe classical construction.
Solve practical geometry problems.
Describe three-dimensional geometryGeometry 101: Beginner to Intermediate Level
Course Number:
9770452
Languages:
English - United States, Canada and other English speaking countries
Student Testimonials
"Course was a bit difficult for me, instructor was available and helped me when I needed help!" -- Marcus M.
"This was a great course. I learned a lot about Geometry and am excited to use what I learned here in my high school. It was definitely better than some of the other Universal courses I took because this instructor, Mr. Clark, was more organized and thorough with his lessons, and it was easier to understand him than other university's instructors." -- Hannah Z.
"He was an excellent teacher...the lessons were very clear and easy to understand. I also like the 15 lesson layout." -- Rayna K. | 677.169 | 1 |
Developmental Mathematics Curriculum Available
The HFC Mathematics Department will now offer new courses for the fall 2014 semester for developmental students. This new effort will make developmental education more affordable for students.
In the current developmental/pre-college level math program at HFC, students are expected to progress within each course at a set pace.
For students who intend to study science, technology, engineering and mathematics (STEM) fields, the HFC developmental/pre-college level math program currently consists of the following three traditional courses:
MATH 074: Pre-Algebra;
MATH 080: Beginning Algebra; and
MATH 110: Intermediate Algebra.
An alternate STEM route will be available starting the fall 2014 semester. The redesigned program consists of 12 mastery-learning based modules with flexible pacing divided among the following three 4-credit courses:
MATH 077: Preparation for Algebra;
MATH 089: Introduction to Algebra Part 1; and
MATH 109: Introduction to Algebra Part 2.
These courses are appropriate for following students:
Students who require more time to master mathematical concepts. For example, a student can spend more time completing material on fractions than would be possible in a class in which the pace is set by the instructor for the entire semester. The student sets his or her own pace.
Students who are taking the developmental mathematics courses as refreshers and are able to move quickly through the material. These students – without paying additional tuition – may complete more than one course in a single semester and will have saved a semester of tuition and time.
Students who progress at a standard pace but prefer this alternate means of instruction.
Although instruction is computer-based to allow for the individual student to learn at his or her own pace, these are NOT online classes. Attendance on campus during scheduled class time is required and a mathematics instructor as well as student tutors are present and available during class to provide additional help and encouragement. The size of each class is limited to 24 students.
If more than one semester is required to complete a course, the student will start the next semester from where he or she left off after demonstrating mastery of the material already learned. In a traditional class, repeating a course means repeating all of the material in the course along with those who are learning it for the first time. That is not the case with this new program.
In addition, students save money with this program. A single set of course materials, which includes the textbook(s) and two-year access to online materials, is used for all three courses and will cost around $200. Costs for the course materials for the three traditional courses could easily be double or triple that amount – even with used textbooks – since there are three separate textbooks required and at least two separate online access code purchases required. This is in addition to the prospect of saving a semester (or even two) of tuition and time.
"The key goals for this new program are to help students become successful in mathematics and move more quickly to the courses where college credits are earned," said Scott Barnett, one of the HFCC mathematics instructors who redesigned the curriculum.
The fall 2014 semester begins Thursday, Aug. 28.
MATH 077 is available for the fall 2014 semester. To review up-to-date course offerings in the Mathematics Dept., please visit WebAdvisor at Once on the WebAdvisor page, click "Search for Sections" in the lower right hand portion of the page. A login is not required to view course offerings.
For further information about the new math curriculum, please contact Barnett at 313.845.6496 or sebarnett@hfcc.edu. | 677.169 | 1 |
Stewart or Swokosky for an introduction to Calculus?
I am currently working from the Morris Kline: An Intuitive Approach to Calculus. I am beginning to understand why the math is done and what is happening throughout the problem. So far I am about to start the Chain Rule.
My school uses Stewart for all their Calculus series and I have read from multiple sources that it is a poor textbook. Sokowski: Calculus 6th edition was given to me by a teacher along with Hardy.
I will work on the Hardy and Apostol book after Calculus 2 to become better at proofs because I want to be a Mathematician.
Are Stewart and Sokowski both generally the same dumbed down books or is Sokowski a bit better? | 677.169 | 1 |
Links
Mathematics for 3D Game Programming and Computer Graphics, Second Edition
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Mathematics for 3D Game Programming and Laptop or computer Graphics, Second Edition Description
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This edition fully updated second illustrates the mathematical concepts that a game programmer would need to develop a expert quality 3D engine. Even though the book is intended for applications in game development, several problems to appeal to the public interest in 3D graphics. It begins at a fairly simple level in areas such as vector geometry and linear algebra, and then progresses to a lot more advanced topics in 3D game programming such as illumination and visibility determination. Certain attention is given to derivations of critical results, so that the reader is forced to endure gaps in the theory. The book assumes a working understanding of trigonometry and arithmetic, but also contains sections that discuss the critical tools utilized in these disciplines, such as trigonometric identities, differential equations and Taylor series. Mathematics for 3D Game Programming and Laptop or computer Graphics, Second Edition | 677.169 | 1 |
This lesson assumes a background understanding of the basic parameters for an exponential function and gives students an...
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This lesson assumes a background understanding of the basic parameters for an exponential function and gives students an opportunity to discover how exponential growth affects monetary stature. This gives students an opportunity to get comfortable with computations utilizing the exponential growth equation by integrating a popular culture cartoon to spark interest.
Material Type:
Drill and Practice
Author:
Kyle Heffelbower
Date Added:
Sep stand-alone instructional resource begins with reviewing trigonometric ratios and generates the unit circle and graph of...
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This stand-alone instructional resource begins with reviewing trigonometric ratios and generates the unit circle and graph of the sine function.
Material Type:
Development Tool
Author:
Kyle Heffelbower
Date Added:
Oct | 677.169 | 1 |
The objective of writing this book is to provide NCERT Solutions for students that presents its contents in a way that makes learning interesting, while, at the same time, highlights the strategy to solve the problems.
The book will help students focus on a small number of straightforward, repeated, fundamental concepts; and will also guide them in applying the concepts in different ways to solve a variety of problems.
While developing the NCERT Solutions, the following three points were kept in mind:
1. Providing unit-wise solutions of NCERT for classes XI & XII
2. Developing an in-depth understanding of the basics, and the strategy to solve the questions | 677.169 | 1 |
Official Course Description:
This course is an overview and an introduction to selected topics from different
areas of mathematics which are not usually covered in introductory classes. The goal is to
develop an understanding for interesting mathematical questions beyond the standard first and
second year curriculum. Rather than proving all results in full detail, we visit several different
areas of mathematics, thus illustrating the breadth and beauty of mathematics.
Topics vary; past instances of this course have included combinatorial game theory, hyperbolic
and spherical geometries, manifolds, Fourier analysis and wavelets, the Banach-Tarskiparadox,
dynamical systems and chaos, and others.
For students in Mathematics and ACM, this course is designed to be taken at the same time
as Analysis I and/or . It is open to anyone with interest and some experience in mathematics
(for others, General Mathematics and Computational Science I is recommended). Instead of a
final exam, students write a term paper on a mathematical subject of their choice and present it
to the class. | 677.169 | 1 |
Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. In this textbook, Joao Hespanha covers the key topics of the field in a unique lecture-style format, making the book easy to use for instructors and students. He looks at system representation, stability, controllability and state feedback, observability and state estimation, and realization theory. He provides the background for advanced modern control design techniques and feedback linearization, and examines advanced foundational topics such as multivariable poles and zeros, and LQG/LQR. The textbook presents only the most essential mathematical derivations, and places comments, discussion, and terminology in sidebars so that readers can follow the core material easily and without distraction. Annotated proofs with sidebars explain the techniques of proof construction, including contradiction, contraposition, cycles of implications to prove equivalence, and the difference between necessity and sufficiency. Annotated theoretical developments also use sidebars to discuss relevant commands available in MATLAB, allowing students to understand these important tools. The balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review. Solutions to the theoretical and computational exercises are also available for instructors. * Easy-to-use textbook in unique lecture-style format * Sidebars explain topics in further detail * Annotated proofs and discussions of MATLAB commands * Balanced chapters can each be taught in two hours of course lecture * Solutions to exercises available to instructors
Product Details
Promotional Information
Linear Systems Theory gives a good presentation of the main topics on linear systems as well as more advanced topics related to controller design. The scholarship is sound and the book is very well written and readable. -- Ian Petersen, University of New South Wales This book provides a sound basis for an excellent course on linear systems theory. It covers a breadth of material in a fast-paced and mathematically focused way. It can be used by students wishing to specialize in this subject, as well as by those interested in this topic generally. -- Geir E. Dullerud, University of Illinois, Urbana-Champaign
About the Author
Joao P. Hespanha is professor of electrical engineering at the University of California, Santa Barbara, where he is associate director of the Center for Control, Dynamical Systems and Computation.
Reviews
"This is a splendidly written textbook; in fact, the next time I teach linear systems theory, I intend to use it. It covers the right amount of theory and presents the material at a perfect level for students. It has many exercises, most of which are well suited for beginning engineering graduate students."--Alan J. Laub, Elements of Computation Theory Linear Systems Theory | 677.169 | 1 |
Maths Terms And Tables
In language it is common for a parent, teacher or student to make use of a dictionary to check the spelling, meaning, pronunciation or origin of a word. In mathematics, however, where language can often prove to be a stumbling block, it is rare for a dictionary to be consulted. In this publication we have tried to give brief and simple explanations of terms without sacrificing accuracy. view full description | 677.169 | 1 |
Essential Mathematics for Cambridge Secondary 1 Stage 7 Pupil Book
Sue Pemberton, Patrick Kivlin, and Paul Winters
Description
Endorsed by Cambridge International Examinations, the Essential Mathematics for Cambridge Secondary 1 series has been created for the international student. Written by an expert author team with an experienced examiner it provides complete coverage of the syllabus. Providing comprehensive, clear theory notes followed by worked examples, the text helps students apply the knowledge they have learnt. Learning Outcomes are provided at the start of each chapter to clearly map topics in the text to the syllabus. Numerous exercises are included, with clear progression, and problem-solving and real life applications embedded throughout. End-of-topic and end-of-section questions are designed to assess understanding, not only of the current topic but also of the ways in which different topics might be combined in examinations. | 677.169 | 1 |
Demonstrates the challenges & fascinations of mathematical modelling & enables students to develop the skills required to examine real life problems. The various techniques & skills are introduced to the reader through the discussion of a variety of carefully selected problems & exercises, largely drawn from industrial contexts. Maple is used for the problems discussed & for many of the exercises, with suggestions & commands provided for readers unfamiliar with this software package.
This work familiarises students with mathematical models (PDEs) and methods of numerical solution and optimisation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.
A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.
Solutions Manual to An Introduction to Mathematical Modeling has been writing in one form or another for most of life. You can find so many inspiration from Solutions Manual to An Introduction to Mathematical Modeling also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Solutions Manual to An Introduction to Mathematical Modeling book for free.
Mathematical models are increasingly being used to examine questions in infectious disease control. Applications include predicting the impact of vaccination strategies against common infections and determining optimal control strategies against HIV and pandemic influenza. This book introduces individuals interested in infectious diseases to this exciting and expanding area. The mathematical level of the book is kept as simple as possible, which makes the book accessible to those who have not studied mathematics to university level. Understanding is further enhanced by models that can be accessed online, which will allow readers to explore the impact of different factors and control strategies, and further adapt and develop the models themselves. The book is based on successful courses developed by the authors at the London School of Hygiene and Tropical Medicine. It will be of interest to epidemiologists, public health researchers, policy makers, veterinary scientists, medical statisticians and infectious disease researchers.
Mathematical Modelling in One Dimension demonstrates the universality of mathematical techniques through a wide variety of applications. Learn how the same mathematical idea governs loan repayments, drug accumulation in tissues or growth of a population, or how the same argument can be used to find the trajectory of a dog pursuing a hare, the trajectory of a self-guided missile or the shape of a satellite dish. The author places equal importance on difference and differential equations, showing how they complement and intertwine in describing natural phenomena.
This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions.
In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done,what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems). | 677.169 | 1 |
DESCRIPTION: Mike Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Precalculus has evolved to meet today's course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online. New Internet-based Chapter Projects apply skills to real-world problems and are accompanied by assignable MathXL exercises to make it easier to incorporate these projects into the course. In addition, a variety of new exercise types, Showcase Examples, and video tutorials for MathXL exercises give instructors even more flexibility, while helping students build their conceptual understanding | 677.169 | 1 |
Mathway Math Problem Solver
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On-line math problem solver that will solve and explain your math homework step -by-step. It not only shows you the answer, it shows you how to do it. | 677.169 | 1 |
This is part one of a two-part manual for teachers using SMSG high school text materials. The commentary is organized into four parts. The first part contains an introduction and a short section on estimates of class time needed to cover each chapter. The second or main part consists of a chapter-by-chapter commentary on the text. The third part is a collection of essays on topics that cannot conveniently be dealt with in the main part of the commentary in connection with a particular passage. The fourth part contains answers to Illustrative Text Items and the solutions to the problems. Chapter topcis include: introduction to formal geometry; sets, points, lines, and planes; distance and coordinate systems, angles; congruence; parallelism; and similarity. (MN) | 677.169 | 1 |
HSC Mathematics Extension 2
If your child is studying HSC Mathematics Extension 2, they will be assessed on the contents of both the Extension 1 Course (worth 2 units) and the Extension 2 course (worth 2 units). They will also sit two Mathematics exams for both their trials and the external HSC. The Extension 1 course provides the foundations for much of the Extension 2 work.
For these reasons, we strongly recommend that Extension 2 students enrol in Package A, described below.
Please note that Package B covers only 2 out of 4 units being examined in HSC Mathematics Extension 2.
THIS PROGRAMME COMPRISES
PRIOR Weekly Classes
A 3 hour class each week, during school terms. Classes progress systematically through all the topics in the course. All classes are taught by Harry Mav.
PRIOR Workshops
Unlimited access to FREE workshops (subject to availability), which run 7 days a week throughout the year, including the April, July and October school holidays. In workshops, your child will receive assistance with PRIOR or school work. PRIOR tutors have exceptional knowledge, superb communication skills and are inspiring role models.
PRIOR Lesson Notes
Comprehensive, easy-to-follow PRIOR lesson notes, which have been researched, developed and constantly updated in accordance with the current NSW Board of Studies syllabus and examinations.
PRIOR Exams
8 PRIOR exams, held at your child's normal class time, to assess your child's strengths and weaknesses and provide you with feedback on their progress. Exams are held at your child's normal class time. Each exam is marked and returned to your child at their class the following week.
PRIOR Homework
Weekly PRIOR homework and marking, to reinforce the work covered in class and further develop your child's knowledge, understanding and skills.
2017 Commencement
Friday 4:30pm to 7:30pm, commencing on 3 February.
YOUR CHILD WILL ALSO RECEIVE
PRIOR Startup Kit
Includes a detailed PRIOR course summary, 3 PRIOR revision books, a PRIOR Calculus Companion and a storage folder for homework, notes and exams. | 677.169 | 1 |
Arithmetic With Polynomials And Rational Expressions
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
30
Rewrite Rational Expressions
Standard
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HSA.APR.6
20
HSA.APR.7
(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
22
Understand The Relationship Between Zeros And Factors Of Polynomials
Standard
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HSA.APR.2
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
16
HSA.APR.3
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
16
Use Polynomial Identities To Solve Problems
Standard
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HSA.APR.4
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 – y2)2 + (2xy)2 can be used to generate Pythagorean triples.
18
HSA.APR.5
(+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.1
16
Creating Equations
Create Equations That Describe Numbers Or Relationships
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HSA.CED.1
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
31
HSA.CED.2
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
27
HSA.CED.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non- viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
19
HSA.CED.4
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm's law V = IR to highlight resistance R.
20
Reasoning With Equations And Inequalities
Represent And Solve Equations And Inequalities Graphically
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HSA.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).
19
HSA.REI.11
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
17
HSA.REI.12
Graph the solutions to a linear inequality in two variables as a half- plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
18
Solve Equations And Inequalities In One Variable
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HSA.REI.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
30
HSA.REI.4
Solve quadratic equations in one variable.
23
HSA.REI.4.a
Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form.
17
HSA.REI.4.b
Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
20
Solve Systems Of Equations
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HSA.REI.5
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
19
HSA.REI.6
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
24
HSA.REI.7
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x2 + y2 = 3.
20
HSA.REI.8
(+) Represent a system of linear equations as a single matrix equation in a vector variable.
15
HSA.REI.9
(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).
13
Understand Solving Equations As A Process Of Reasoning And Explain The Reasoning
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HSA.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.
19
HSA.REI.2
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
18
Seeing Structure In Expressions
Interpret The Structure Of Expressions
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HSA.SSE.1
Interpret expressions that represent a quantity in terms of its context.
17
HSA.SSE.1.a
Interpret parts of an expression, such as terms, factors, and coefficients.
14
HSA.SSE.1.b
Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P.
13
HSA.SSE.2
Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).
20
Write Expressions In Equivalent Forms To Solve Problems
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HSA.SSE.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
17
HSA.SSE.3.a
Factor a quadratic expression to reveal the zeros of the function it defines.
15
HSA.SSE.3.b
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
14
HSA.SSE.3.c
Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
14
HSA.SSE.4
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.
14
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Headquartered in | 677.169 | 1 |
Mathematics (MATH)
A study of topics necessary to an understanding of the elementary school curriculum, such as set theory, real numbers and geometry. Not for major or minor credit. Prerequisites: elementary education major and MATH 111 or equivalent with a grade point of 2.000 or better, or departmental consent.
MATH 502. Mathematics for Middle School Teachers 5 credit hours
A study of the mathematical knowledge which forms the theoretical foundations of, the applications of, and extensions of middle school mathematics. This capstone course serves to reinforce mathematics skills learned in prerequisite courses and assists students in recognizing the unifying principles within their mathematical experiences. Prerequisites: MATH 111, 121, 123, 144, 501, and STAT 370 or equivalent with a grade point of 2.000 or better in each.
MATH 511. Linear Algebra 3 credit hours
An elementary study of linear algebra, including an examination of linear transformations and matrices over finite dimensional spaces. Prerequisite: MATH 243 with a grade point of 2.000 or better.
MATH 513. Fundamental Concepts of Algebra 3 credit hours
Defines group, ring and field, and studies their properties. Prerequisites: MATH 415 and 511 with a grade point of 2.000 or better, or departmental consent.
MATH 525. Elementary Topology 3 credit hours
Studies topological spaces, open and closed sets, bases for topology, continuous mappings, homeomorphisms, connectedness and compactness, Hausdorff and other spaces, with special emphasis on metric spaces. Prerequisite: MATH 415 with a grade point of 2.000 or better.
General education advanced issues and perspectives course. Studies the development of mathematics from antiquity to modern times. Solves problems using the methods of the historical period in which they arose. Requires mathematical skills. Prerequisites: MATH 511 and two additional courses at the 500 level or above, with a grade point of 2.000 or better in each.
MATH 531H. Introduction to the History of Mathematics - Honors 3 credit hours
General education advanced issues and perspectives course. Studies the development of mathematics from antiquity to modern times. Solves problems using the methods of the historical period in which they arose. Requires mathematical skills. Honors section. Prerequisites: MATH 511 and two additional courses at the 500 level or above, with a grade point of 2.000 or better in each.
MATH 545. Integration Techniques and Applications 3 credit hours
Studies the basic integration techniques used in applied mathematics. Includes the standard vector calculus treatment of line and surface integrals, Green's Theorem, Stokes's Theorem, and the Divergence Theorem. Also includes the study of improper integrals with application to special functions. Prerequisite: MATH 344 with a grade point of 2.000 or better.
MATH 547. Advanced Calculus I 3 credit hours
Covers the calculus of Euclidean space including the standard results concerning functions, sequences and limits. Prerequisites: MATH 344 and 415 with a grade point of 2.000 or better in each.
MATH 548. Introduction to Complex Variables 3 credit hours
Study of complex numbers, analytic functions, differentiation and integration of complex functions, line integrals, power series, residues and poles, and conformal mapping with applications. Prerequisites: MATH 344 with a grade point of 2.000 or better.
MATH 551. Numerical Methods 3 credit hours
Approximating roots of equations, interpolation and approximation, numerical differentiation and integration, and the numerical solution of first order ordinary differential equations. Some computer use. Prerequisites: MATH 344 and 451 with a grade point of 2.000 or better, or departmental consent.
MATH 553. Mathematical Models 3 credit hours
Covers case studies from the fields of engineering technology and the natural and social sciences. Emphasizes the mathematics involved. Each student completes a term project which is the solution of a particular problem approved by the instructor. Prerequisite: Math 344 with a grade point of 2.000 or better, or departmental consent.
MATH 555. Differential Equations I Prerequisite: MATH 243 with a grade point of 2.000 or better, or departmental consent.
MATH 555H. Differential Equations I - Honors Honors section. Prerequisite: MATH 243 with a grade point of 2.000 or better, or departmental consent.
MATH 580. Selected Topics In Math 1-3 credit hours
Topic chosen from topics not otherwise represented in the curriculum. May be repeated up to a maximum of 6 hours credit with departmental consent. Prerequisite: departmental consent.
MATH 615. Elementary Number Theory 3 credit hours
Studies properties of the integers by elementary means. Prerequisite: MATH 344 with a grade point of 2.000 or better, or departmental consent.
MATH 621. Elementary Geometry 3 credit hours
Studies Euclidean geometry from an advanced point of view. Prerequisite: MATH 344 with a grade point of 2.000 or better, or departmental consent.
MATH 640. Advanced Calculus II 3 credit hours
A continuation of MATH 547. Prerequisites: MATH 511 and 547 with a grade point of 2.000 or better in each.
MATH 655. Differential Equations II 3 credit hours
A continuation of MATH 555 (but with more emphasis on theoretical issues) that covers higher order differential equations, systems of first order equations (including the basics of linear algebra), some numerical methods, and stability and behavior of solutions for large times. Prerequisite: MATH 555 with a grade point of 2.000 or better, or departmental consent.
MATH 657. Optimization Theory 3 credit hours
Introduces selected topics in linear and nonlinear optimization. Develops the revised simplex method along with a careful treatment of duality. Then extends the theory to solve parametric, integer and mixed integer linear programs. Prerequisite: MATH 511 with a grade point of 2.000 or better.
MATH 713. Abstract Algebra I 3 credit hours
Treats the standard basic topics of abstract algebra. Prerequisite: MATH 513 with a grade point of 2.000 or better, or departmental consent.
MATH 720. Modern Geometry 3 credit hours
Examines the fundamental concepts of geometry. Prerequisite: MATH 513 with a grade point of 2.000 or better, or departmental consent.
MATH 725. Topology I 3 credit hours
Studies the results of point set and algebraic topology. Prerequisite: MATH 547 with a grade point of 2.000 or better, or departmental consent.
MATH 743. Real Analysis I 3 credit hours
Includes a study of the foundations of analysis and the fundamental results of the subject. Prerequisite: MATH 640 with a grade point of 2.000 or better, or departmental consent.
MATH 745. Complex Analysis I 3 credit hours
Studies the theory of analytic functions. Prerequisite: MATH 640 with a grade point of 2.000 or better, or departmental consent.
MATH 751. Numerical Linear Algebra 3 credit hours
Includes analysis of direct and iterative methods for the solution of linear systems, linear least squares problems, Eigenvalue problems, error analysis, and reduction by orthogonal transformations. Prerequisites: MATH 511, 547, 551 with a grade point of 2.000 or better in each, or departmental consent.
MATH 753. Ordinary Differential Equations 3 credit hours
Covers existence, uniqueness, stability and other qualitative theories of ordinary differential equations. Prerequisite: MATH 545 or 547 with a grade point of 2.000 or better, or departmental consent.
MATH 755. Partial Differential Equations I 3 credit hours
Studies the existence and uniqueness theory for boundary value problems of partial differential equations of all types. Prerequisite: MATH 547 with a grade point of 2.000 or better, or departmental consent.
MATH 757. Partial Differential Equations for Engineers 3 credit hours
Includes Fourier series, the Fourier integral, boundary value problems for the partial differential equations of mathematical physics, Bessel and Legendre functions, and linear systems of ordinary differential equations. Prerequisite: MATH 555 with a grade point of 2.000 or better.
MATH 758. Complex and Vector Analysis for Engineers 3 credit hours
A survey of some of the mathematical techniques needed in engineering including an introduction to vector analysis, line and surface integrals, and complex analysis, contour integrals and the method of residues. Not applicable toward a graduate degree in mathematics. Prerequisite: MATH 555 with a grade point of 2.000 or better.
Begins with basic smooth manifold theory including topics such as vector bundles, tensor fields, flows, Lie derivatives and the theorems of Green, Gauss and Stokes. Introduces some elementary topics from Riemannian geometry.
MATH 828I. Topics in Geometric Topology 3 credit hours
Studies a variety of topics in low-dimensional topology including knot theory, the topological classification of surfaces and the classification of three-dimensional manifolds. With regard to the latter, students also briefly discuss Thurston's Geometrisation Conjecture.
MATH 828J. Smooth Geometry II 3 credit hours
Survey of topics in the areas of smooth manifold theory and Riemannian geometry. Emphasizes the Riemann Curvature Tensor and the relationship between topology and positive curvature.
MATH 828K. Partial Differential Operator Theory 3 credit hours
Begins with an introduction to the theory of smooth manifolds, fiber bundles, their section spaces, and operators on sections spaces from a categorical point of view. Introduces jet theory with the goal of proving Peetre's theorem. Studies sheaves, ringed spaces, and morphisms of each with the ultimate goal of proving Slovak's generalization of Peetre's theorem. Finally, investigates applications of the two main theorems.
Includes analysis of algorithms for the solution of initial value problems and boundary value problems for systems of PDEs with applications to fluid flow, structural mechanics, electromagnetic theory and control theory. Prerequisite: MATH 751.
Advanced topics in mathematics of interest to engineering students, including tensor analysis, calculus of variations and partial differential equations. Not applicable toward the MS in mathematics.
MATH 859. Selected Topics in Applied Mathematics 2-3 credit hours
Repeatable with departmental consent.
MATH 859K. Mathematical Physics 3 credit hours
Advanced topics of mathematics as applied to problems in quantum computing and quantum information. Includes mappings, simulations and diffeomorphisms of quantum measures.
MATH 859L. Mathematical Physics II 3 credit hours
Advanced topics of mathematics as applied to problems in quantum computing and quantum information. Includes mappings, simulations and diffeomorphisms of quantum measures.
MATH 859M. Computational Fluid Dynamics 3 credit hours
A study of the fundamental equations in fluid mechanics. In particular, discusses numerical solvers of the Euler equations and, in general, conservation laws. The numerical methods are applied to fluid dynamical problems in plasma physics and nuclear fusion.
MATH 880. Proseminar 1 credit hour
Oral presentation of research in areas of interest to the students. Prerequisite: major standing.
MATH 881. Individual Reading 1-5 credit hours
Repeatable up to a maximum of 6 hours with departmental consent. Prerequisite: departmental consent. | 677.169 | 1 |
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Calculus Differential Equations Growth and Decay Task / Station Cards and Flip Book
This lesson is designed for AP Calculus AB, AP Calculus BC and College Calculus 1 or 2 classes. These activities are designed to help students thoroughly understand and master the concepts in this section. Activity Based Learning with Task Cards and Foldables really work to help reinforce your lessons. Task cards, station cards, and foldables get your students engaged and keep them motivated.
Included in the Lesson:
☑ Task Cards: There are 8 cards which contain examples of growth and decay. Not all cards are exponential which should encourage students to think through the problems. Also included is a problem with Newton's Law of Cooling.
☑ Student response sheets with room for students to show their work.
☑ Typed Solutions to all the problems
☑ Foldable Flip Book with Formulas and room for students to write in their own notes and examples. Full directions for the flip book are included. Each book uses one sheet of 8 ½′′ by 11′′ paper | 677.169 | 1 |
Elementary Algebra Student Text Revised Edition
Item # 620035
Classical educators love this dialectic approach to algebra. Students will enjoy the well-placed examples and explanations, too. The lessons are divided into 17 chapters, covering a variety of topics such as functions and graphs, integers, exponents, polynomials, and more! This is the best algebra text we have found as it builds a solid foundation for fundamental algebraic concepts. Jacobs is a genius and your student will thoroughly enjoy his teaching. Additionally, a solutions manual to the odd problems can be found in the back of the book. Hard 746p. | 677.169 | 1 |
Course overview:This is the fourth course in the Math Basics Series for Highway Technicians, which has been designed to provide you with all of the basic math concepts youll need on the job. This course reviews decimals. Everyday numbers are not always whole, especially in construction, so its important to understand how to use decimals when resolving mathematical equations.
There are 11 modules that make up this serieseach of which explains an introductory math concept in a quick, interactive micro-learning experience. These modules do occasionally reference one another and build upon previously explained math concepts. If youre unsure of any concepts explained in these modules, you can always go back and take previous modules. Its recommended that you start from the beginning and take all the modules in order; however, you are also welcome to take just one (or several) modules that are applicable to your training needs. The other topics are as follows:
Arithmetic (TC3ED008-17-T1);
Order of Operations (TC3ED009-17-T1);
Fractions (TC3ED010-17-T1);
Percentages (TC3ED012-17-T1);
Ratios (TC3ED013-17-T1);
Unit conversions (TC3ED014-17-T1);
Mean (TC3ED015-17-T1);
Area (TC3ED016-17-T1);
Volume (TC3ED017-17-T1); and
Slope (TC3ED018-17-T1).
Training level:This training is recommended for the Transportation Curriculum Coordination Council levels I and II.
Target audience:This course is for any individual who would like a basic technical math refresher, or an introduction to construction math in a transportation setting, including inspectors and technicians.
Learning outcomes: Upon completion of this course, participants will be able to:
Solve decimal rounding exercises related to construction; and
Solve arithmetic exercises involving decimals.
TC3 web-based trainings are FREE for employees of state DOTs that contribute annually to the TC3 technical service program. | 677.169 | 1 |
Contains key concepts, skills to master, a brief discussion of the ideas of the section, and worked-out examples with tips on how to find the solution.Contains key concepts, skills to master, a brief discussion of the ideas of the section, and worked-out examples with tips on how to find the solution. | 677.169 | 1 |
Fidelia Igwe Student Introduction Heather Nunnally Part I: Name: Fidelia Igwe Favorite fun activity: Shop and listen to music Major: English Job of choice: Lawyer College course: Focus Inquiry Part II: Over the past twelve years, math has always been my least favorite course, partly because there are numerous rules, equations, and methods to remember when working on certain problems. I've always been one who likes an explicit answer and one way to find that answer, whereas math is the complete opposite. The course is sometimes trial and error for me and that becomes frustration. I can be completing
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Unformatted text preview: a problem make one minor mistake and the whole entire problem is incorrect. Although it is not my favorite course, I have managed to grasp concepts pretty well so long as I practice. I've managed to be successful due to my patient instructors and helpful peers. I ask many questions when I do not understand a problem. In this course, I am really nervous about not "catching on" as quickly as other students but I plan to be successful, try my hardest to fully understand methods that might become extremely difficult, and continue to ask questions....
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MATH X 451.43 - Introduction to Algebraic Geometry: The Sequel
185935797
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Course Description
Algebraic geometry is the study, using algebraic tools, of geometric objects defined as the solution sets to systems of polynomial equations in several variables. This course is the second in a two-quarter introductory sequence that develops the basic theory of this classical mathematical field. Whereas the fall-quarter course focused more on the subject's algebraic underpinnings, this quarter will concentrate on geometric interpretations and applications. Topics to be discussed include Bézout's Theorem, rational varieties, cubic curves and surfaces (including the remarkable 27-line theorem), and the connection between varieties and manifolds. The theoretical discussion will be supported by a large number of examples and exercises. The course should appeal to those with an interest in gaining a deeper understanding of the mathematical interplay among algebra, geometry, and topology | 677.169 | 1 |
A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music... more...
These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field... more...
This book is related to the theory of functions of a-bounded type in the ha- plane of the complex plane. I constructed this theory by application of the Li- ville integro-differentiation. To some extent, it is similar to M.M.Djrbashian's factorization theory of the classes Na of functions of a-bounded type in the disc, as much as the well known results... more... * New surveys of research problems in topology * New perspectives on classic problems... more...
Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry... more...
This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems... more... | 677.169 | 1 |
1. Introduction to mathematical logic, statements, quantifiers, negation, logical structure of mathematics, proofs of mathematical theorems. 2. Sets, relationship between sets, operations with sets, Cartesian product of sets, mapping, number sets. 3. Metric spaces - definition and properties of metric, neighborhood of a point, relationship between a set and a point, properties of sets in metric spaces 4. Extended real numbers, intervals, properties of subsets of real numbers. 5. Function - definition, properties, function of one and two variables, basic elementary functions. 6. Limit of a function of one variable - definition, properties, calculation, the importance of limit for analyzing properties of a function. 7. Continuity of a function of one variable - definition, properties, points of discontinuity 8. Derivative of a function of one variable at a point - definition, properties, interpretation, tangent line and normal line, derivative of a function on a set, the application of derivative of a function to analyzing the properties of a function. 9. The approximation of a function of one variable - differential , Taylor polynomial, their application to approximate calculations. 10. The application of differential calculus - analyzing the properties of function (local extremes of a function, monotonicity, convexity, concavity, inflex points, graph). 11. Indefinite integral of a function of one variable - definition and properties of primitive function, calculation of primitive function. 12. The calculation of a primitive function - integral of rational functions, special substitutions.
Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
Attendace
- 91 hours per semester
Homework for Teaching
- 70 hours per semester
Preparation for the Course Credit
- 50 hours per semester
Preparation for the Exam
- 120 hours per semester
Learning outcomes
Master basic tools of differential and integral calculus of functions of a single variable.
Comprehension Understand the mathematical tools of differential and integral calculus of functions of a single variable.
Prerequisites
Knowledge of secondary school mathematics.
Assessment methods and criteria
Oral exam, Written exam
Credit: attend the classes and pass the written test. Exam: pass the written part and show knowledge and understanding during the oral exam. | 677.169 | 1 |
Wolfram Discrete Mathematics Course Assistant – Wolfram Group LLC
Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete math—from the world leader in math software—will help you work through your homework problems, ace your tests, and learn discrete math concepts. The Discrete Mathematics Course Assistant solves your specific discrete math problems on the fly, providing answers to a broad range of subjects.
– Do function calculations like domain and range, image and preimage, and inverse and growth – Compute logic problems like minimal forms, implications, propositions, and bitwise operations – Calculate set functions like power set, basic set operations, complement, and Venn diagrams – Use the Number Theory section for division, modular arithmetic, prime numbers, special numbers, and integer functions – Do sequence computations like summation, product, and limit of a sequence – Compute permutation and combinatorics questions, including derangements and permutations of list or finite relations and Pascal's triangle – Use the discrete probability section for Bernoulli trial equations and view statistics on coin and dice probabilities or view various distribution given the probability of success – View information on basic, named, or custom graphs in our Graph Theory section
The Wolfram Discrete Mathematics Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.
The Wolfram Discrete Mathematics Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 3G, 4G, or Wi-Fi connection. | 677.169 | 1 |
For introductory courses in PDEs taken by majors in engineering,
physics, and mathematics.
Packed with examples, this text provides a smooth transition
from a course in elementary ordinary differential equations to more
advanced concepts in a first course in partial differential equations.
Asmar's relaxed style and emphasis on applications make the material
understandable even for students with limited exposure to topics beyond
calculus. This computer-friendly text encourages the use of computer
resources for illustrating results and applications, but it is also
suitable for use without computer access. Additional specialized topics
are included that are covered independently of each other and can
be covered by instructors as desired.
Jumps right into PDEs—Review material of ODEs
is in Appendix A.
Applied approach with proofs in Appendices. Large number of exercises per section—The more
advanced ones include detailed hints to make them accessible to all
students at this level.
Each set begins with a series of straightforward problems
that reinforce basic concepts in that section; later exercises are
more involved and lead to a deeper understanding of the concepts.
The most computer-friendly PDE text on the market—Asks
students to investigate problems using computer-generated graphics
and to generate numerical data that cannot be computed by hand.
Helps students visualize and understand even the most
abstract notions covered in the course.
Marginal comments and remarks throughout the text—Offers
insightful remarks, keys to following the material, and formulas recalled
for the students' convenience.
Mathematica files—Available for download from
the author's website—Links through Prentice Hall address
Includes material not covered in other texts—e.g.
a chapter on quantum mechanics. | 677.169 | 1 |
WHAT TO EXPECT: This book reviews essential trigonometry concepts, ideas, and skills. Topics include the basic trig functions, special angles, the reference angle, the unit circle, going beyond Quadrant I, inverse trig functions, and radians. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). Each chapter works out examples with step-by-step solutions and explanations. Problems at the end of each chapter offer practice carrying out the techniques. The answer to every exercise can be found on the following page.
CONTENTS: This book is conveniently divided up into 9 chapters so that students can focus on one trigonometry skill at a time. Skills include the following:
review of the Pythagorean theorem and relevant properties of triangles;
understanding sine, cosine, and tangent;
special angles and special triangles;
working with the reference angle;
using the unit circle;
working in Quadrants II-IV;
finding secant, cosecant, and cotangent;
finding inverse trig functions;
and converting between degrees and radians.
AUTHOR: Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Step-by-Step and Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills.
ANSWERS: Answers to exercises can be found on the page following the practice problems. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes TrLearn or Review Trigonometry: Essential Skills. This book provides an introduction or review to the basic ideas, concepts, and skills of trigonometry with explanations and examples. ISBN: 194169103X. Trigonometry Flash Cards: Memorize the values of trig functions (sine, cosine, and tangent) from 0 to 360 degrees. Available on Kindle. ASIN: B0074EWAUS
About the Author
Chris McMullen is a physics instructor at Northwestern State Universityof Louisiana. He earned his Ph.D. in phenomenological high-energyphysics (particle physics) from Oklahoma State University in 2002.Originally from California, he earned his Master's degree fromCalifornia State University, Northridge, where his thesis was in thefield of electron spin resonance. As a physics teacher, Dr. McMullenobserved that many students lack fluency in fundamental math skills. Inan effort to help students of all ages and levels master basic mathskills, he has published this Improve Your Math Fluency Series of mathworkbooks on arithmetic, fractions, algebra, and trigonometry.
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I am not a math person, but am a visual person. I purchased this because it is an excellent example (I looked at a few) I liked of how to utilize the Kindle Book software. On his blog (...), the writer brilliantly spells out details of how to optimize Kindle's software features, and this book is the illustrated outcome. So glad to have found this practical, perfect example of design and layout... plus I can learn a few new angles!
Too simplistic. Huge font to try to somehow make a book out of what is actually a very quick review. A few problems for the student to work out. Just go online and find a website like Homeschool Math. Don't waste your money. | 677.169 | 1 |
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Banking Mathematics
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The book refreshes the main subjects from mathematics taught in school. Many worked examples support the student at the beginning of a university study in acquiringFinancial Mathematics A comprehensive e-learning product dealing with the fundamental concepts in finance such as Time Value of.
GORE Developments Limited on February 29 handed over a million-dollar lifeline to the Mico University College's annual Math and Science Teachers' Conference slated for March 19 and 20. "Education is the future of Jamaica, and this is.
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as well as Math, Science and ICT training for over 6,000 teachers, among others.
STONEHAM, MA — A local bank has made a donation to the Stoneham Central Middle School math team. StonehamBank recently announced a $2,500 donation made to the Stoneham Central Middle School math team on.
If only savings rates were as high as the personal fees your bank charges, bank customers across the country would be rich with contentment and satisfaction. However, in addition to the much-talked-about surcharge fees of automatic teller.
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Banking Calculating the interest on a savings bank account: Interest for the month is calculated on the minimum balance between the 10th day and the last day of the month (both days included).
10 May 2017 AUGUSTINE UNIVERSITY HOLDS LECTURE ON ENTREPRENEURSHIP. Augustine University held a lecture on entrepreneurship on the 10th of.
The question McCaskey High School math teacher Chris Hess hears most from his students: "When am I ever going to use this in real life?" It's a question Hess has taken to heart. When it comes to preparing students for real life, there. | 677.169 | 1 |
Functional areas:
Mathematics,
Radiological Control,
Technician Training,
Study Guide
Radiological control operations frequently require the RCT to use arithmetic and algebra to perform various calculations. These include scientific notation, unit analysis and conversion, radioactive decay calculations, dose rate/distance calculations, shielding calculations, stay-time calculations. A good foundation in mathematics and algebra is important to ensure that the data obtained from calculations is accurate. Accurate data is crucial to the assignment of proper
radiological controls. | 677.169 | 1 |
Interactive
Linear Algebra
About Interactive Linear Algebra
Interactive Linear Algebra is a new type of
text - an interactive one. The interaction occurs by
using the numerical, graphical, symbolic and textual
capabilities of Mathcad. The entire text is presented on
the computer in Mathcad.
The course is taught in a
laboratory setting, with or without additional lectures.
Through this technology centered approach, mathematics
becomes an experimental science.
Students become active participants in the learning
process, which leads to a deeper understanding of the
concepts. At the same time, this approach develops
confidence in the student's ability to read, use, and
write about linear algebra.
The electronic text guides the students through
linear algebra and its applications with a carefully
planned series of computer-based discussions, examples,
questions, and projects. With its graphics, symbolics,
numerics, and editing capabilities, Mathcad provides the
tools needed for developing, visualizing, connecting,
and applying the concepts of linear algebra.
About the Authors
He has been on the Penn faculty since 1965 and served as
Associate Dean for Computing in the School of Arts and
Sciences from 1980 to 1990.
Porter has an A.B. from Princeton University where he
wrote a senior thesis using the original Von Neumann
computer. His Ph.D. is in mathematics from Cornell.
His research has been in homotopy theory, a branch of
Algebraic Topology, and on the instructional use of
computing. He has been using computers in undergraduate
instruction since 1968.
Porter was the first chair of the MAA Committee on
Computers in Mathematics Instruction and was a director
of the Interactive Mathematics Text Project, a multiyear
project intended to encourage the use and creation of
interactive mathematics texts. The IMTP was funded by
IBM and the NSF. He was an editor and contributor to
Computing and Mathematics, The use of computing in
undergraduate mathematics instruction, MAA Notes, Number
9, (1988).
Porter was Treasurer of the
Mathematical Association of America from 1990 to 2001 and currently and
serves on many
of its
committees.
Dave Hill(hill@math.temple.edu
) is Professor of Mathematics at Temple University
in Philadelphia, PA. He has been on the faculty since
1973 and served as Director of the undergraduate
mathematics program from 1982-86.
Hill has a BS Ed from Indiana University of Pennsylvania
and a doctorate in mathematics from the University of
Pittsburgh.
His mathematics fields of interest are linear algebra,
numerical analysis, and instructional computing. Hill
has been using software as a lecture, laboratory, and
problem solving tool with students for the past two
decades at both the undergraduate and graduate levels
and has published and lectured extensively on using
software in instruction. He was a presenter in the
ATLAST (Augment the Teaching of Linear Algebra through
the use of Software Tools) workshops in 1992-1995
sponsored by the National Science Foundation
Hill has been actively involved in the Mathematical
Association of America and served as President of the
MAA's Eastern Pennsylvania and Delaware section. | 677.169 | 1 |
I have a difficulty with my math that requires immediate solution. The problem is with ks3 worksheets algebra. I have been on the look out for somebody who can coach me without delay as my exam is coming near . But it's difficult to find someone fast enough besides it being costly. Can anyone guide me ? It will be a huge help.
Well of course there is. If you are enthusiastic about learning ks3 worksheets algebra, then Algebrator can be of great benefit to you. It is made in such a manner that almost anyone can use it. You don't need to be a computer professional in order to use the program.
Registered: 16.04.2003
From: the wastelands between insomnia and clairvoyance
Posted: Tuesday 02nd of Jan 09:19
I remember having often faced difficulties with side-side-side similarity, difference of squares and absolute values. A really great piece of algebra program is Algebrator software. By simply typing in a problem from workbook a step by step solution would appear by a click on Solve. I have used it through many algebra classes – Pre Algebra, College Algebra and Pre Algebra. I greatly recommend the program. | 677.169 | 1 |
Course info
Algebra 2 builds upon and extends concepts from both Algebra 1 and Geometry. In Algebra 2, students work with equations, inequalities, and graphs of linear, quadratic, trigonometric, rational, radical, exponential, and logarithmic functions. Real-world applications that can be modeled by each of these functions are explored. Algebra 2 also introduces students to concepts of probability and statistics. Algebra 2(B | 677.169 | 1 |
TSI MATH
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TSI MATH Practice Test Questions is a developmental practice questions
text for all students who are getting ready for TSI. It uses 1092 all types of TSI
practice questions about 20 topics includes the TSI topics to develop and
improve students' practice skills. It has 12 questions per test and there are two
tests for most of the topics. So students have enough number of different type
and quality questions to practice and get ready for TSI.
TSI MATH functions as a TSI practice questions text but also serves as a
teacher resource for students and teachers.
TSI MATHEMATISC SECTION COVERS:
Numbers and operations
Elementary algebra
Elementary functions
Intermediate algebra
Geometry
Data anlysis
Statatics
Probability
It also has 1092 questions which is more than most of the math books
have. So this book is enough for students and teachers as one of the great
resource to be used for years.
We made very good research and worked on each question of this book
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Summary
Using the author's considerable experience of applying Mathcad to engineering problems, Engineering with Mathcad identifies the most powerful functions and features of the software and teaches how to apply these to create comprehensive engineering calculations. Many examples from a variety of engineering fields demonstrate the power and utility of Mathcad's tools, while also demonstrating how other software, such as Microsoft Excel spreadsheets, can be incorporated effectively. This simple, step-by-step approach makes this book an ideal Mathcad text for professional engineers as well as engineering and science students.
A CD-ROM packaged with the book contains all the examples in the text and an evaluation version of the Mathcad software, enabling the reader to learn by doing and experiment by changing parameters.
* Identifies the key Mathcad functions for creating comprehensive engineering calculations * A step-by-step approach enables easy learning for professional engineers and students alike * Includes a CD-ROM containing all the examples in the text and an evaluation version of the Mathcad software | 677.169 | 1 |
Popular Arithmetic Multiple Choice Questions
The popular Arithmetic multiple choice question book is specially designed to fulfil the needs of the students at schools, colleges and even in the universities. The book also caters to the requirements of the candidates appearing for competitive exams conducted by UPSC, SSC and many other boards and agencies for various services throughout the country. This book helps the readers strengthen their base in mathematics. Every chapter in this book contains only 20 questions which keeps the fear of the beginners away and helps them learn and practice.
Ramesh publishing house is one of the leading publishers in India of general and competitive examination books. RPH is in this field since 1966. Their major publications include General Knowledge Books for middle class school student to a high official company, Basic English language books to highly useful and referential English improvement books for all age groups.
A monthly current affairs magazine "NEWS & EVENTS" is also being published under the banner since august 2000. Inmid-2006 the company expanded their publication of general interest books mainly for light reading under a new division, ' Reader's Delight '.In August 2006 Ramesh Publishing House launched its yet another interesting monthly magazine ' English Today '. | 677.169 | 1 |
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Life o Fred Calculus
Jul 03, 2017 came to be. Stanley Schmidt promises us in the earlier Fred books that we will learn about Fred's early childhood in Calculus. I love how all the Fred books incorporate so many topics and information besides math. I've learned about things I never learned in my own math studies and I have a master's in math education.
Vickie B
About the Seller
Life of Fred - Dr. Stanley F. Schmidt
(5412 Reviews)
Follow Fred, a five-year-old math professor at Kittens University, as his funny adventures lead students through all the math they'll ever need. Starting from basic kindergarten-level arithmetic, the Life of Fred book series teaches all the way through college math.
Dr. Stanley F. Schmidt designed these books to keep students engaged while also making math concepts memorable. Perfect for independent study, each unit teaches ideas that can be applied using real-world examples. | 677.169 | 1 |
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Introduction to Algebra Improve algebra problem-solving skills and learn how algebra applies to many aspects of daily life. Through study that integrates algebra with other disciplines, prepare for the college SAT exam and for the mathematics entrance exam at AACC. $115 includes $82 fee. Note: Online course. Offered in partnership with ed2go. | 677.169 | 1 |
Description
Not everyone retains the math they learned in school. Like any
skill, your ability to speak "math" can deteriorate if left unused.
From adding and subtracting money in a bank account to figuring out
the number of shingles to put on a roof, math in all of its forms
factors into daily life. Math For Real Life For Dummies
provides you with the simple formulas and theorems that you're
likely to encounter in the workplace, the kitchen, and even when
playing games.
You can turn to Math For Real Life For Dummies to brush
up on your math skills or to handle everyday encounters, like
calculating restaurant tips, understanding interest rates, and
figuring out percentages and odds. Packed with real-world examples
that make sense, Math For Real Life For Dummies takes the
stress out of your daily calculation encounters.
Provides tips for understanding and using basic mathematical
concepts
Shows you how math helps the mind to reason and organize
complicated situations or problems into clear, simple, and logical
steps
Covers all of the math skills you're likely to need in everyday
situations
If you're looking for a practical, plain-English guide to
mastering everyday math skills, Math For Real Life For
Dummies has you covered | 677.169 | 1 |
Maths geeks, I am having a very tough time with my homework on Algebra 1. I was of the opinion that this would be solvable and hence didn't care to check till now. When I sat down to work on the questions today, I found it to be really challenging. Can any one guide me by giving information on the existing software that can help me with brushing up my fundamentals on , topic-kwds and .
I do understand what your problem is, but if you could explain in greater detail the areas in which you are facing difficulty, then I might be in a better position to help you out. Anyhow I have a suggestion for you, try Algebra Helper . It can solve a wide range of questions, and it can do so within minutes. And there's more to come, it also gives a detailed step-by-step description of how it arrived at a particular solution. That way you don't just find a solution to your problem but also get to understand how to go about solving it. I found this program to be particularly useful for solving questions on free answers to my algebra homework . But that's just my experience, I'm sure it'll be good no matter what the topic is.
I'm also using Algebra Helper to help me with my math tests. It really does help you quickly understand certain topics like linear inequalities and ratios which would take days to understand just by reading tutorials. It's highly recommended software if you're searching for something that can help you to solve algebra problems and display all necessary step by step solution. A must have algebra | 677.169 | 1 |
Algebra, 1st Edition
John Tabak Ph.D.5858
ISBN-13: 9781438135854
DDC: 512.009
Grade Level Range: 9th Grade
- College Senior
27214776990201667410056116579305868294
About
Overview
ALGEBRA, Revised Edition describes the history of both strands of algebraic thought. This updated resource describes some of the earliest progress in algebra as well as some of the mathematicians in Mesopotamia, Egypt, China, and Greece who contributed to this early period. It goes on to explore the many breakthroughs in algebraic techniques as well as how letters were used to represent numbers. New material has been added to the chapter on "modern" algebra, a type of mathematical research that continues to occupy the attention of many mathematicians today.
Table of Contents
Front Cover. Half Title Page. Title Page. Copyright Page. Dedication. Contents. Preface. Acknowledgments. Introduction. 1: The First Algebras. 2: Greek Algebra. 3: Algebra from India to Northern Africa. 4: Algebra as a Theory of Equations. 5: Algebra in Geometry and Analysis. 6: The Search for New Structures. 7: The Laws of Thought. 8: The Theory of Matrices and Determinants. Conclusion. Afterword. Chronology. Glossary. Further Resources. Index. | 677.169 | 1 |
I can't give it back because its disrespectful in my culture. Can I still learn from this, or should I just wait till calc (currently in H.geometry) ? Is it possible to learn the calc as you go along or is it just too much?
I also wanted to ask if you would recommend testing out of precalc into calc BC. Is it possible to learn precalc while going through H.alg 2 w.trig or is it better just to take the class? A lot of people at my school say they wished they skipped it while others say the opposite. Thanks for your time and have a nice day.
Staff: Mentor
I think you can learn calculus on your own to do physics problems as the derivatives and integrate are fairly simple to compute.
I did that when I was in 12th grade where I had a background in trig, series and sequences. Truthfully I understood the concepts pretty well but at the time skipped over the limit stuff. However limits in themselves are important to understand and will help in higher level math.
I also thought it was cool to skip the first course in calculus and convinced the prof that I knew the stuff except for the limits. I did well in the followon classes but a year or two later on realized that taking the class would have been an easy A (and probably boring) and I would've had time to prepare for future courses.
Staff: Mentor
I would say, go ahead and start with that physics book and see how it goes. I've never studied or taught from that book myself, but the books at that level that I have used, introduce basic calculus concepts when needed, both for students who have not seen them before, and as a review for students who have seen them already. The calculus is used mainly in a conceptual way, to simplify the notation and make it more general. So the most important thing is to get a good conceptual understanding of what derivatives and integrals mean in various physical situations.
A calculus textbook derives things (more or less) rigorously, and teaches techniques for calculating complicated derivatives and integrals. An intro physics book generally sticks to examples that use simple derivatives and integrals, so as to focus on the physics.
For day-to-day work while studying intro physics, it's far more important to be fluent in algebra and basic trigonometry. For algebra, you need to be able to work symbolically, not just numerically. Here's what I mean by this: In a typical high-school algebra class, you might be given an equation such as ##3x + 1 = 10## and asked to solve it numerically to get ##x = 3##. In a physics exercise, you're more likely to start with an equation such as ##ax + b = c## and need to rearrange it to get an equation for x: ##x = (c - b)/a##. And then you might have to combine this with something like ##c = 2b +a## and get a single equation for x in terms of a, b and c.
(I've actually had college students ask me, when faced with something like the above, "How do I solve for x? There aren't any numbers!" )
For trigonometry, you need to be familiar with the basic definitions of trig functions with respect to a right triangle: sine = opposite/hypotenuse, etc.; and with some of the basic relationships between them, e.g. tan θ = sin θ / cos θ. You need this to work with vectors and their components.
Don't let all this detract from your official classes. You need to do well in those. Make them your first priority, and use only your spare time for trying to "get ahead" in physicsRead through the book first and see if there are actually any questions or problems which require you to know calculus. It may be that the book simply derives things in calculus but doesn't require you to use calculus to solve problems. And there's certainly nothing wrong with just doing the problems that only require algebra and avoiding any requiring calculus. | 677.169 | 1 |
Introduction to Dynamical Systems
Description
This book provides a broad introduction to the subject of dynamical systems, suitable for a one- or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics, symbolic dynamics, ergodic theory, hyperbolic dynamics, one-dimensional dynamics, complex dynamics, and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to such areas as number theory, data storage, and Internet search engines. This book grew out of lecture notes from the graduate dynamical systems course at the University of Maryland, College Park, and reflects not only the tastes of the authors, but also to some extent the collective opinion of the Dynamics Group at the University of Maryland, which includes experts in virtually every major area of dynamical systems.
About Author
Michael Brin is Professor Emeritus of Mathematics at the University of Maryland. He is the author of over thirty papers, three of which appeared in the Annals of Mathematics, and he has lectured at conferences and universities around the world. His main research areas are dynamical systems and Riemannian geometry. In 2008, he established the Michael Brin Prize in Dynamical Systems. Garrett Stuck is a former professor of mathematics at the University of Maryland and has held visiting positions at the Institut des Hautes Etudes Scientifiques in Paris and the Mathematical Sciences Research Institute in Berkeley. He has co-authored several textbooks, including The Mathematica Primer. Dr Stuck is also a founder of Chalkfree, Inc. He currently works in the finance industry. | 677.169 | 1 |
10 hour, 8-week online course is for High School Mathematics teachers who are proficient with GeoGebra and who want to learn more (see prerequisite skills). A sequel to the highly successful 'Dynamic Geometry and Algebra with GeoGebra' (now called 'GeoGebra: Become a proficient, inspired practitioner', the course is an excellent opportunity for participants to become immersed in an extended, creative GeoGebra exploration. The facilitator's experience in creating and facilitating online courses has resulted in a course which 1) offers participants lots of choice in what to learn and 2) maximises the benefits participants gain from each other. Participants receive numerous files and resources and have access to videos explaining how the files were made. Prerequisite GeoGebra skills list: (Contact TTA before applying) Familiarity with creating basic structures (parallel and perpendicular lines, rays and segments, circles, polygons) measuring angles and areas, plotting points, utilising the blank canvas, cartesian plane and algebra region, and utilising the hide-show and slider features. IMPORTANT: Applicants need to contact TTA before enrolling into the course. We need to ensure that the course is a good match for you and we need to explain in detail the way the course works. Accredited PD Hrs = 10 will work collaboratively, learning off each other via the comments written and the 'how I made this file' videos. Files and resources will be implemented with students and implementation experiences reported back to the course.
A visually simple example containing some added novelty. It was created by past participant Anne Wolkowitsch and is a classic example of a teacher's creativity being unleashed through GeoGebra.
This course contributes to 10.0 professional development hours.
Occurrences
There are no occurrences of Online - Individual in Australia (ACT) at this time.
Sessions
Session One: Introduction
30 minutes
Background information to the course. Choosing your desired area of interest for the course (what you intend to learn, create, achieve).
Session Two: GeoGebra Tutorials (Skill reminders)
30 minutes
Note: This session contains pre-requisite skills and is offered as an extra session, hence there is no time allocated.
Session Three: Creating 'Explain' Videos
1 hour and 30 minutes
A requirement of the course is to demonstrate how you created your files and/or the thinking behind your resources via screen videos. (In itself this is an important skill to have for any mathematics teacher.) In this session you will learn how to create simple screencasts i.e. Explainer Videos.
Session Four: Exercising your creative genius (group work)
7 hours
In this session you will: - nominate your key project you wish to work on. - draw upon the collaborative input from course members to assist you. - read a couple of pedagogical articles regarding the use of GeoGebra. - start working in your groups. - collaborate on, develop and complete the files and/or resources of your project. - record one or more explainer videos explaining the background to your files and how you created them. - submit your implementation report.
Session Five: Completing the course
30 minutes
The completion process.
User Rating
5.0
Latest Reviews
Please note the feedback listed here is unfiltered, and includes all comments and ratings collected.
Further your GeoGebra skills
by Roland Tenefrancia on
26/04/2017
The course was very informative and useful. I learned a lot from using Geogebra which I thought would be difficult at first but I eventually got used to it and appreciated the many things it offers.
About the team
Creator
Richard has taught in 3 states and territories of Australia over the past 25 years and has been Head of Mathematics at Oxford Falls Grammar School for 6 years. He has developed a teaching style which is interactive and relational, directed yet open ended, and which fosters individual progression, higher-order thinking, and collaborative learning. Richard is a passionate campaigner for conceptual learning; his professional journey continues to lead him to discover more and more ways of teaching mathematics conceptually and he delights in sharing these with other teachers. | 677.169 | 1 |
Easy Algebra Step-by-step
The fastest way to learn algebra is to build a solid foundation in the basics. Inside this book you won't find a lot of endless drills. Instead, you get an original, step-by-step approach to learning algebra. In your first steps, you are introduced to essential concepts--allowing you to grasp the subject almost immediately. You will gradually progress to more challenging skills. Along the way, the authors show you how to solve practical problems using clear, step-by-step instructions. Exercises for each section, with detailed, worked-out solutions, will let you check your progress. In no time at all, you will have acquired the knowledge and skills you need to solve algebraic problems with confidence.
Easy Step-by-Step Algebra features:
* A unique building-block approach to mastering algebra
* Down-to-earth explanations of important rules and concepts
* Sample problems that are carefully explained--step by step
* Insights on how to avoid common mistakes
* Exercises to practice what you've learned and measure your progress
* Brand-new chapters--Signal Words and Phrases and Word Problems--that will round out your new set of math skills | 677.169 | 1 |
14-16
You might be looking forward to dropping maths at the first available opportunity, but don't be too hasty. Whether you plan to go on to work, A-levels (or equivalent), or other further studies, a good understanding of maths will be useful to you and will improve your problem-solving and decision-making skills. | 677.169 | 1 |
Excursions in Modern Mathematics introduces non-math majors to the power of math by exploring applications like social choice and management science, showing that math is more than a set of formulas. Ideal for an applied liberal arts math course, Tannenbaum's text is known for its clear, accessible writing style and its unique exercise sets that build in complexity from basic to more challenging.
The Eighth Edition offers more real data and applications to connect with today's students, expanded coverage of applications like growth, and revised exercise sets. MyMathLab exercise sets are expanded and the new Ready To Go MyMathLab course makes course set-up even easier | 677.169 | 1 |
Maths In this blog, we will discuss JEE Math in particular and various books and preparation tips for the same.
JEE Mains Math
What separates JEE Main Mathematics from the school textbook is the complexity of questions, traps set for test takers, and result-oriented approach over the method-oriented solution.
Recent trends in JEE Math
JEE Mains or Advanced has never been predictive and therefore never succumbed to any trend. In fact, one of the foremost reasons for JEE being tough is the unpredictive nature of the exam which often shocks the test takers.
However, a broader trend that has been noticed over the years, but which may not hold true for the coming JEE exam, suggests that topics like probability, Definite Calculus, and Trigonometry are asked in a twisted manner to elicit mistakes from test takers. Also, 'Sequences and Series', 'Vectors', 'Circles', and 'Complex Numbers' etc. are always included though their weightage may vary by a large extent.
Important Books
The Elements of Coordinate Geometry Cartesian Coordinates by S.L. Loney
This book has been referred as a holy grail for Coordinate Geometry and has very easy explanations of various concepts. In fact, a lot of books in the market are inspired by this book and have been customised better for JEE preparation. However, for reference to concepts, this book remains to be unbeaten for Coordinate Geometry.
Plane Trigonometry by S.L. Loney
Trigonometry is also a complex topic as it requires a deep memorization of various complex formulae. Here again, S.L Loney's book on Plane Trigonometry is hailed as the best resource for preparation.
Problems in Calculus of one variable by I.A. Maron
I.A. Maron's Calculus book is referred by most of the authors in concept introduction and explanation. Thus, from the perspective of building concepts, I.A Maron is highly recommended though it does not have JEE specific questions and examples.
Standard books like NCERT / R.D Sharma
Most of the students tend to ignore the standard books that have the major chunk of concept explanation and practice material for JEE Mains and JEE Advanced. Standard books like NCERT, State Board books, and textbooks present the best resources from various textbooks in a single source. Also, the various solved examples in these textbooks can always be referred for quick reference on problem solving and concept building.
Question Bank by reputed authors like TMH, M.L Khanna etc.
Last but not the least, mastering JEE Math requires a lot of practice and dedication. Therefore, students should always study from reputed questions banks which have a huge compendium and as well as exhaustive practice on all the types of questions and concepts. | 677.169 | 1 |
Inequalities and Regions
Algebra Powerpoint Presentation
All the hassle has been removed from teaching this potentially awkward topic. At the click of a mouse, points are plotted, lines are drawn and regions shaded and overlapping regions identified. Several carefully chosen and graded demonstrations for students to work through with you on the included worksheets. | 677.169 | 1 |
Algebra [Lecture notes] by Christoph Schweigert
How do you draw a instantly line? How do you identify if a circle is actually around? those may well sound like basic or perhaps trivial mathematical difficulties, yet to an engineer the solutions can suggest the variation among luck and failure. How around Is Your Circle? invitations readers to discover a number of the comparable primary questions that operating engineers care for each day--it's hard, hands-on, and enjoyable.
This publication, designed for complex graduate scholars and post-graduate researchers, introduces Lie algebras and a few in their functions to the spectroscopy of molecules, atoms, nuclei and hadrons. The e-book includes many examples that aid to clarify the summary algebraic definitions. It offers a precis of many formulation of useful curiosity, equivalent to the eigenvalues of Casimir operators and the scale of the representations of all classical Lie algebras.
This complete, best-selling textual content makes a speciality of the examine of many alternative geometries -- instead of a unmarried geometry -- and is punctiliously glossy in its strategy. every one bankruptcy is largely a brief path on one element of contemporary geometry, together with finite geometries, the geometry of ameliorations, convexity, complex Euclidian geometry, inversion, projective geometry, geometric elements of topology, and non-Euclidean geometries. | 677.169 | 1 |
Mathematics
The department is comprised of mathematics as the only discipline. It aims at equipping the students with the necessary knowledge, skills and attitude for the development of self end the entire nation.
ACADEMIC STAFF AND SPECIALIZATION
The department is made up of four members who re qualified teachers specialized t the mathematical field such as statistical, arithimetic, geometry, calculas, algebra among others.
MISSION
Compared with the other subjects, mathematics has consistently a low performance index which the department is out to change through enhancing cultivation of positive attitude in the students through organizing activities like math's dances,poems,drama and plays in mathematics days. Being a discipline that plays major role in career choices, the following missions have been set up.
To popularize demystify mathematics as a subject that is required in over 90% of courses that are offered in post secondary education institutions
Enabling students to post good results in mathematics that will help them to fit in the necessary course that suits them.
RESOURCES
The department has enough textbooks to cater for the whole school in the ratio of 1:2.it is also equipped with enough models for the outdoor activities.
STUDENTS PROFILE
The students has embraced a culture of involving students in dialogue to address the importance of studying mathematics as a discipline that helps them pursue the career of their choice in the following fields:-
Engineering
Finance and banking
Insurance and risk
Medicine and health
Information technology and computers
Teaching and education science
Defense and military
ASSESSMENTS
For evaluation purposes, the department has embarked on various test methods such as holiday assignments, continuos assessment tests and end term exams. | 677.169 | 1 |
Download 10 Years Clat Ailet 2008 17 Topic Wise Solved Papers written by Disha Experts and has been published by Disha Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The book consists of topic-wise questions from the past 10 years' (2008 to 2017) question paper in 5 sections- English Including Comprehension, Elementary Mathematics, Logical Reasoning, General Knowledge & Legal Aptitude. The coverage of the papers has includes CLAT, NLU and AILET from 2008 to 2017 as they actually reflect the pattern of the Law exams. In all there are 20 Question papers from 2008 to 2017 which have been provided topic-wise along with detailed solutions. Practicing these questions, aspirants will come to know about the pattern and toughness of the questions asked in the examination. In the end, this book will make the aspirants competent enough to crack the uncertainty of success in the Entrance Examination. The strength of the book lies in the originality of its question papers and Errorless Solutions. The solution of each and every question is provided in detail (step-by-step) so as to provide 100% concept clarity to the students.
Download The Pearson Guide To Objective Arithmetic For Competitive Examinations 3 E written by Khattar and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with categories.
Download Second Handbook Of Research On Mathematics Teaching And Learning written by Frank K. Lester and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-01 with Education categories.
The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
Download Quantitative Aptitude For Cat And Other Mba Entrance Examinations 3 E With Cd written by Time and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with categories.
Download Maths Express Year 6 Teachers Resource Book written by Pearson Education and has been published by Ginn this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-26 with categories.
The Numeracy Extras series provides a range of materials developed to be used alongside existing resources as extras to support maths teaching. The books in the Maths Express range are designed to stretch the more able pupil in a whole class context, and feature challenging exercises.
Download Democratic Republic Of The Congo written by International Monetary Fund. African Dept. and has been published by International Monetary Fund this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-23 with Business & Economics categories.
This Poverty Reduction Strategy Paper on the Democratic Republic of Congo discusses economic policies and development. The macroeconomic and budget framework has been developed to take into account the effects of sectoral policies to maintain macroeconomic stability, a necessary condition for laying the foundation of economic growth and poverty reduction. It is based on the profile of public spending, the assessment of costs for achieving the Millennium Development Goals by 2020, and the sector-based economic growth theories taking into account the uncertainties of the international environment and the real potential of the Congolese economy. It is found that it allows for a realistic programming of public spending while highlighting the main budgetary choices proposed by the government. | 677.169 | 1 |
About ToKToL
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ToKToL helps students learn maths and science faster and more effectively.
The ToKToL platform uses advanced statistical algorithms to ensure that each student receives material tailored to his abilities - stretching him enough for his abilities to grow but not too much to frustrate him.
We believe that this can only work with material that is specifically written for this purpose. Our science and math team writes content so that lots of quizzes and bite-sized background texts combine to give a deep understanding.
ToKToL was founded by two people with a passion for making education more accessible and getting more people excited about science. They come from backgrounds in economics/publishing and quantitative finance/mathematics. | 677.169 | 1 |
Pre-Calculus - Live Online Course 2018-2019
Quick Overview
In this Live Online Course students will study quadratic relations and systems, higher degree functions and complex numbers, sequences and series, probability, trigonometry, and advanced triangle problems.
(Recommended for grade 10. May be taken in grades 10-12.)
Details
This course includes a rapid review of VSAAlgebra II from chapters 3-7 of the Foerster Algebra and Trigonometry text, then begins in Chapter 9 to finish the text as a preparatory course for the study of VSA Calculus I. New concepts include expansion on quadratic relations and systems, higher degree functions and complex numbers, sequences and series, probability, trigonometry, and advanced triangle problems. Homework will average 3 - 4 hours per week.
Pre-Calculus
*Indicates an item that is used in more than one year and/or in other disciplines. | 677.169 | 1 |
Is my study habit wrong?
I was able to solve most of excercise questions in textbook when I was in high school, but as I expected, university level mathematics is really difficult. I have been studying baby Rudin but I cannot solve most of excercise questions unless I see the solution first. But I am really worried because I am compelled to think that I should produce all the solutions on my own and looking at the solutions first won't get me far. Then, since trying to solve problems on my own is extremely diffcult, sometimes I just want to quit.
Oh? That is the textbook we use in our class. I assumed, when I said Spivak, I meant Calculus 4ed. (it's the grey one) I know that Spivak wrote many books, when I said Spivak, did you think of one of his books on higher level calculus? Sorry for not being clear enough :S
To be fair many freshman honors calculus courses use spivak so that isn't much of an excuse. Don't look at the solutions though as that isn't the way to learn. If you are having doubts then post it here for example. Don't expect to be able to do all the problems in spivak; some of them as you said are indeed extremely hard (attempt them of course). It's ok if you can't do some of them. Also try Apostol's calculus text if you want another book to work through; the aforementioned text is another popular freshman calc book.
You need to burn/not loook at the answers or search for them online. You are taking a class that uses Spivak, so you need to be proactive. This means study groups with other students, going to a TA or professor for help. Spivak, in regards to other books you will encounter, is actually really straight forward. This is time you need to learn how to think like a mathematician. How to use previous problems to build solutions to current problems. Is it easy? Of course not, but the feeling of solving a problem after five days of nothing but mistakes is a great feeling. It's one you should love, if you are going to study math.
Nevertheless, trying to solve every problem in Spivak isn't and shouldn't be your goal right now. Solve your homework assignments, and problems that seem interesting to you. There exist a good deal of problems in Spivak that are neat, but skipping them wouldn't hurt.
*I solved every problem in Spivak one year (took a year), so if you need guidance or help from someone who will not give you the answer, feel free to ask! This forum has a HW section for a reason. Make a thread and point me to it and i'll do my best to give you some perspective on the problem.
I don't think what you're doing is necessarily wrong. When I came into physics, I had never taken intro physics, and so the initial homework sets for me were nearly impossible for my upper level courses. I would look at the solution to a similar (not identical) problem to learn the general processes. Because, hey, force diagrams are something that a professor would just blaze right through in an upper level course! Anyway, once I learned how to do a similar problem, I would be able to feel confident on the homework set. Then, once I was farther into the semester, I didn't need it at all. I think that if you are actually learning and can do your homework well and do okay on exams, what you are doing is just fine. If it's a crutch, not so much.
I fear that your university is making calculus into some kind of weeder class. Either you work extremely hard to succesfully complete Spivak or you drop out. That seems to be the situation for the majority of the students taking Spivak.
As a consolation, this class will probably be the hardest math class you ever take. Other math classes will be difficult of course, but by then you have already learnt how to think like a mathematician and you are used to the abstractions. Indeed, if you get through Spivak, then you will have gained a lot of mathematical maturity.
Of course, getting through Spivak is not an easy task and requires much hard work. Do try to use various resource. For example, go to office hours, make a study group with your classmates, post questions on this forum, etcSolsticeFire
You'll never learn how to be wrong without a picture of what right is to compare your answer against. Often times the worked examples in textbooks are not good indications of what the exercises will be (like in Griffiths' Quantum book). Research is research, homework is not a good indication about what it's like and you've made a false (yet sadly all too common) generalization that if you use solutions you will be left clueless in researchAre you an undergrad or a grad right now? In which year?
Things like this might work for a while, but in the end they usually fail. Furthermore, solution manuals don't exist for advanced books.
Things like this might work for a while, but in the end they usually fail. Furthermore, solution manuals don't exist for advanced books.
Undergrad (EE + physics double major) doing senior classes in physics; I've done whole classes without a solution manual when I did plasma physics (Bittencourt's Plasma Physics book has no solution that I know of, I know I looked so I could be prepared for class). I spent a whole month on one cross coupled differential equation before my in class friends and I came up with the correct derivation, I know what it's like to struggle through problems and come up with the solution by myself.
Things like this work all the time, don't think grad students don't do it either.
Also solution manuals absolutely exist for advanced books (say Jackson E&M, though there are books more advanced than that one). don't deny the idea that a solution manual can help someone in some instances; however, I'm not willing to say that in a course like Spivak (an honor's calculus) that a solution manual would benefit this student more than the process of solving the problem. It isn't the answer that matters, but the journey to the answer. Learning, often times, occurs during the struggles of putting together previous problems and theorems. Having someone put those ideas together for you only hampers the experience.
I also want to point out something on the larger scheme of things. Eventually, in the future, you will have to solve problems where a solution manual doesn't exist. Learning who to ask, and where to find the information, and putting it together is a valuable skill. Probably more so than being able to pick up a book and read an answer.
*Also a side note, I've also noticed in Spivak, the answers the solutions give are usually 'clever' solution where a short or clever rewrite makes the proof trivial. Some students may look at these answers and go "I would have never thought of that!" Well, that's probably true, but you probably could've thought of the more direct method of using definitions and theorems to come to the same conclusion. | 677.169 | 1 |
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