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Algebra in Mathematics
Algebra in Mathematics
Learn about algebra fractions such as addition, subtraction and more Start Today!
This free online course offers a comprehensive introduction to algebra and carefully explains the concepts of algebraic fractions. It guides you from basic operations, such as addition and subtraction, up to simplifying quadratic equations and more. It applies maths to real-world problems. This course is ideal for students looking for extra help, or even for a different approach to learning maths have a good understanding of algebraic notation.You will be able to use algebra to calculate the cost of renting a car, the speed of a car, and temperature conversions. You will gain a good knowledge of simplifying, verifying, expanding, adding and subtracting algebraic expressions. You will be aware of the Distributive Law. This course will teach you algebraic fractions. You will learn binonial expressions, quadratic trinomials and many more algebraic concepts.
Modules in Algebra in Mathematics
This course introduces you to algebra. It uses interactive presentation to explain the concepts. This is ideal for those learners seeking to learn how to manipulateMany real-world problems require a formula to be used for a solution to be achieved. This course covering using use of and explains introduces algebraic fractions. It carefully explains the concepts and introduces basic operations, such as addition and subtraction the terminology used when talking about and explaining interactive mathematics online course covers completing the square. It features hints and tips for expanding square section covers quadratic trinomials. If you thought binomials were heavy, wait until you see this one!When pronumerals are replaced by numbers or expressions, the process is called substitution. This course covers substitution summarises the processes and procedures of factorisation. This provides great help in solvingDAVID BENCOMOUnited States of America
Course Module: Algebraic Expressions 1 Course Topic: Simplifying algebraic expressions without using algebra blocks Comment: It would be nice if you had a little bit more clearer explanation of what you are supposed to be doing,,,the interacting part of this course is really lacking 2012-08-31 18:08:52
Tom NormanUnited Kingdom
Why does it not give you the answers? How am I supposed to check if I'm right or not? Quite annoying... 2012-01-12 17:01:01
Etim James WillieNigeria
n1*a+n2*b+n3*p=T
n1 is number of boxes for apples.
a is number of apples in each box.
n2 is number of boxes of bananas.
b is number of bananas in each box.
n3 is number of boxes of pears.
p is number of pears in each box.
T is total number of fruits. 2010-09-03 09:09:28
Anas AdnaanSomalia
a+p+b+o= b=a+p+o= Every side divide by b then you can get the result of B. 2010-08-02 01:08:21 |
About This Book:
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics |
More About
This Textbook
Overview
A concise, direct examination of general relativity and black holes, Exploring Black Holes provides tools that motivate tools that motivate readers to become active participants in carrying out their own investigations about curved spacetime near earth and black holes. The authors use calculus and algebra to make general relativity accessible, and use quotes from well-known personalities, including Einstein, to offer further insight. Five chapters introduce basic theory. The book also includes seven projects regarding the analysis of major applications. Discussions provide the background needed to carry out projects. The book's projects guide readers as they fill in steps, compute outcomes and carry out their own investigations. For astronomers, mathematicians and people interested in learning about the relativity of black holes.
Editorial Reviews
From the Publisher
(c)2001 American Association of Physics Teachers. All rights reserved.
Most students embarking on a major in physics probably anticipate that they will have the opportunity to elect one or more semesters of study in relativity, and many students majoring in mathematics and computer science also have a strong interest in the subject. Among the introductory texts on special relativity, Taylor and Wheeler's Spacetime Physics (SP), with its conversational tone and its emphasis on geometry, has long played an important role. However, there have been few if any books on general relativity that have managed to be both scholarly and truly introductory. Exploring Black Holes: Introduction to General Relativity (EBH) is just such a book. Through carefully chosen restrictions on coverage, the authors enable the serious study of general relativity by students who have completed a year of calculus and who are prepared for intellectual labor.
The book has been years in the making; there were several self-published preliminary versions. Thomas Roman of Central Connecticut State University provided a post-use review of the 1995 version (Scouting Black Holes: Exploring General Relativity with Calculus) in this journal [63, 1053-1054 (1995)]. EBH retains the basic structure of that earlier version, but the authors have made many improvements, additions, and corrections. The process of refinement continues: I am informed that Edwin Taylor uses each new printing of the text to correct errors and polish explanations.
I used EBH in a course entitled "Topics in Physics: Relativity" at James Madison University during the Fall 2000 semester; the prerequisites were one year each of physics and calculus. Fourteen students enrolled for the course, and twelve completed it (six seniors, three juniors, and three sophomores). All had encountered special relativity in the introductory physics survey, and the upper-division physics majors had also spent a couple of weeks studying special relativity in a one-semester modern physics course.
EBH was one of three required texts, the other two being SP and Kip Thorne's Black Holes and Time Warps (a narrative of the development of general relativity as witnessed by one of its foremost practitioners). Approximately half of the semester was devoted to a thorough discussion of special relativity using SP. The first few chapters of Thorne's book were
also assigned in the first half of the semester, both to lighten the reading load during the second half and to accustom students to Einstein's geometrical vision of gravitation.
During the eight weeks devoted to general relativity, the class managed to cover all five chapters of EBH (Speeding, Curving, Plunging, Orbiting, and Seeing) and four of the seven "projects." Students found the project on the Global Positioning System (GPS) fascinating, both because several of them had used GPS devices and because general-relativistic effects must be included in the analysis in order to for the GPS system to be accurate enough to be useful.
Almost without exception, the students rated EBH as very clear and interestingly written. Their previous contact with GR (if any) was of the "gee-whiz" variety, and they took evident pride in being able to grapple with some of the intellectual challenges of the theory. The authors are careful to acknowledge the limitations of a treatment in which the mathematical apparatus is limited to a year of calculus, but the students and I were pleased at how much can be accomplished. Our experience suggests that any physics professor who is prepared to make the effort can provide a worthy undergraduate introduction to GR, with the help of Taylor and Wheeler. My only prior experience with general relativity was a two-semester sequence (based on Weinberg's Gravitation and Cosmology) taken as a graduate student many years ago.
The black and white text is replete with sample problems, well-drawn and amply captioned figures, and a good collection of end-of-chapter exercises. One idiosyncrasy that several students found annoying is that each chapter and project has its pages independently numbered. Because the chapters are identified by numbers and the projects are identified by capital letters, it is not always clear which way to turn when searching for a particular passage.
Using EBH may also require an adjustment by those physics students and teachers who have come to expect that all physics texts should have a high ratio of equations to explanatory sentences. But the prose of this text is rich, sometimes whimsical, and always aimed directly at helping the reader develop an intuition for the physics that lives beneath the mathematical surface.
Spacetime Physics is a jewel of an unconventional book on special relativity. With Exploring Black Holes, Taylor and Wheeler have presented the community of physics learners and teachers with another gem.
VITAE
William H. Ingham is Professor of Physics at James Madison University. His interests include astrophysics, computational fluid dynamics, and thehistory of science.
Booknews
Taylor (MIT) and Wheeler (Princeton) use metrics rather than Einstein's field equations to introduce students with modest mathematics backgrounds (elementary calculus and algebra) to concepts of relativity. Focusing always on encouraging curiosity (the inside cover contains a long list of questions such as "what does it feel like to fall toward a black hole"), the authors provide tools for answering questions and carrying out calculations about curved spacetime near Earth and black holes |
Calculus I –
mth310
(4 credits)
This course is an introduction to differential calculus. Students explore limits and continuity. They examine the basic concept of differentiation and practice differentiation techniques. Students develop competence applying differentiation to solve problems. Students also examine simple antiderivatives.
Compute the derivatives of linear, quadratic, and polynomial functions.
Limits and Continuity
Identify asymptotes of graphs.
Determine the continuity of functions at given points.
Calculate one-sided limits.
Calculate limits of functions.
Functions and Rates of Change
Use limit laws to find limits of functions.
Calculate slopes of tangent lines at given points.
Graph trigonometric functions.
Determine the effects of operations on a graph.
Recognize mathematical functions from graphs |
More About
This Textbook
Overview
This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations. It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces the revolutionary notion of the "polynomial multiplier," which greatly simplifies the problem of variable elimination by reducing it to a system of linear equations. The major result presented in this work, now known as "Bézout's theorem," is stated as follows: "The degree of the final equation resulting from an arbitrary number of complete equations containing the same number of unknowns and with arbitrary degrees is equal to the product of the exponents of the degrees of these equations."
The book offers large numbers of results and insights about conditions for polynomials to share a common factor, or to share a common root. It also provides a state-of-the-art analysis of the theories of integration and differentiation of functions in the late eighteenth century, as well as one of the first uses of determinants to solve systems of linear equations. Polynomial multiplier methods have become, today, one of the most promising approaches to solving complex systems of polynomial equations or inequalities, and this translation offers a valuable historic perspective on this active research field.
Editorial Reviews
Mathematical Reviews— Cicero Fernandes de CarvalhoZentralblatt MATHMathematical Reviews
- Cicero Fernandes de Carvalho
Zentralblatt MATH
- Werner Kleinert
From the Publisher
"This is not a book to be taken to the office, but to be left at home, and to be read on weekend, as a romance. We already know the plot, but here we meet all the characters, major and minor."—Cicero Fernandes de Carvalho, Mathematical Reviews
"B."—Werner Kleinert, Zentralblatt MATHRelated Subjects
Meet the Author
Etienne Bezout (1730-1783) is credited with the invention of the determinant (named Bezoutian by Sylvester) as well as several key innovations to solve simultaneous polynomial equations in many unknowns. By the time of his death, he was a member of the French Academy of Sciences and the Examiner of the Guards of the Navy and of the Corps of Artillery. Eric Feron Dutton/Ducoffe Professor of Aerospace Engineering at Georgia Institute of Technology, and Visiting Professor of Aerospace Engineering at Massachusetts Institute of Technology, where he is affiliated with the Laboratory for Information and Decision Systems and the Operations Research Center. He is also an Adviser to the French Academy of Technologies. His interests span numerical analysis, optimization, systems analysis, and their applications to aerospace engineering.
Table of Contents
Definitions and preliminary notions 1
About the way to determine the differences of quantities 3
A general and fundamental remark 7
Reductions that may apply to the general rule to differentiate quantities when several differentiations must be made. 8
Remarks about the differences of decreasing quantities 9
About certain quantities that must be differentiated through a simpler process than that resulting from the general rule 10
About sums of quantities 10
About sums of quantities whose factors grow arithmetically 11
Remarks 11
About sums of rational quantities with no variable divider 12
Book One
Section I
About complete polynomials and complete equations 15
About the number of terms in complete polynomials 16
Problem I: Compute the value of N(u . . . n)T 16
About the number of terms of a complete polynomial that can be divided by certain monomials composed of one or more of the unknowns present in this polynomial 17
Problem II 17
Problem III 19
Remark 20
Initial considerations about computing the degree of the final equation resulting from an arbitrary number of complete equations with the same number of unknowns 21
Determination of the degree of the final equation resulting from an arbitrary number of complete equations containing the same number of unknowns 22
Remarks 24
Section II
About incomplete polynomials and first-order incomplete equations 26
About incomplete polynomials and incomplete equations in which each unknown does not exceed a given degree for each unknown. And where the unknowns, combined two-by-two, three-by-three, four-by-four etc., all reach the total dimension of the polynomial or the equation 28
Problem IV 28
Problem V 29
Problem VI 32
Problem VII: We ask for the degree of the final equation resulting from an arbitrary number n of equations of the form (u a . . . n)t = 0 in the same number of unknowns 32
Remark 34
About the sum of some quantities necessary to determine the number of terms of various types of incomplete polynomials 35
Problem VIII 35
Problem IX 36
Problem X 36
Problem XI 37
About incomplete polynomials, and incomplete equations, in which two of the unknowns (the same in each polynomial or equation) share the following characteristics:
(1) The degree of each of these unknowns does not exceed a given number (different or the same for each unknown);
(2) These two unknowns, taken together, do not exceed a given dimension;
(3) The other unknowns do not exceed a given degree (different or the same for each), but, when combined groups of two or three among themselves as well as with the first two, they reach all possible dimensions until that of the polynomial or the equation 38
Problem XII 39
Problem XIII 40
Problem XIV 41
Problem XV 42
Problem XVI 42
About incomplete polynomials and equations, in which three of the unknowns satisfy the following characteristics:
(1) The degree of each unknown does not exceed a given value, different or the same for each;
(2) The combination of two unknowns does not exceed a given dimension, different or the same for each combination of two of these three unknowns;
(3) The combination of the three unknowns does not exceed a given dimension.
We further assume that the degrees of the n - 3 other unknowns do not exceed given values; we also assume that the combination of two, three, four, etc. of these variables among themselves or with the first three reaches all possible dimensions, up to the dimension of the polynomial 45
Problem XVII 46
Problem XVIII 47
Summary and table of the different values of the number of terms sought in the preceding polynomial and in related quantities 56
Problem XIX 61
Problem XX 62
Problem XXI 63
Problem XXII 63
About the largest number of terms that can be cancelled in a given polynomial by using a given number of equations, without introducing new terms 65
Determination of the symptoms indicating which value of the degree of the final equation must be chosen or rejected, among the different available expressions 69
Expansion of the various values of the degree of the final equation, resulting from the general expression found in (104), and expansion of the set of conditions that justify these values 70
Application of the preceding theory to equations in three unknowns 71
General considerations about the degree of the final equation, when considering the other incomplete equations similar to those considered up until now 85
Problem XXIII 86
General method to determine the degree of the final equation for all cases of equations of the form (u a . . . n)t = 0 94
General considerations about the number of terms of other polynomials that are similar to those we have examined 101
Conclusion about first-order incomplete equations 112
Section III
About incomplete polynomials and second-, third-, fourth-, etc. order incomplete equations 115
About the number of terms in incomplete polynomials of arbitrary order 118
Problem XXIV 118
About the form of the polynomial multiplier and of the polynomials whose number of terms impact the degree of the final equation resulting from a given number of incomplete equations with arbitrary order 119
Useful notions for the reduction of differentials that enter in the expression of the number of terms of a polynomial with arbitrary order 121
Problem XXV 122
Table of all possible values of the degree of the final equations for all possible cases of incomplete, second-order equations in two unknowns 127
Conclusion about incomplete equations of arbitrary order 134
Book Two
In which we give a process for reaching the final equation resulting from an arbitrary number of equations in the same number of unknowns, and in which we present many general properties of algebraic quantities and equations 137
General observations 137
A new elimination method for first-order equations with an arbitrary number of unknowns 138
General rule to compute the values of the unknowns, altogether or separately, in first-order equations, whether these equations are symbolic or numerical 139
A method to find functions of an arbitrary number of unknowns which are identically zero 145
About the form of the polynomial multiplier, or the polynomial multipliers, leading to the final equation 151
About the requirement not to use all coefficients of the polynomial multipliers toward elimination 153
About the number of coefficients in each polynomial multiplier which are useful for the purpose of elimination 155
About the terms that may or must be excluded in each polynomial multiplier 156
About the best use that can be made of the coefficients of the terms that may be cancelled in each polynomial multiplier 158
Other applications of the methods presented in this book for the General Theory of Equations 160
Useful considerations to considerably shorten the computation of the coefficients useful for elimination. 163
Applications of previous considerations to different examples; interpretation and usage of various factors that are encountered in the computation of the coefficients in the final equation 174
General remarks about the symptoms indicating the possibility of lowering the degree of the final equation, and about the way to determine these symptoms 191
About means to considerably reduce the number of coefficients used for elimination. Resulting simplifications in the polynomial multipliers 196
More applications, etc. 205
About the care to be exercised when using simpler polynomial multipliers than their general form (231 and following), when dealing with incomplete equations 209
More applications, etc. 213
About equations where the number of unknowns is lower by one unit than the number of these equations. A fast process to find the final equation resulting from an arbitrary number of equations with the same number of unknowns 221
About polynomial multipliers that are appropriate for elimination using this second method 223
Details of the method 225
First general example 226
Second general example 228
Third general example 234
Fourth general example 237
Observation 241
Considerations about the factor in the final equation obtained by using the second method 251
About the means to recognize which coefficients in the proposed equations can appear in the factor of the apparent final equation 253
Determining the factor of the final equation: How to interpret its meaning 269
About the factor that arises when going from the general final equation to final equations of lower degrees 270
Determination of the factor mentioned above 274
About equations where the number of unknowns is less than the number of equations by two units 276
Form of the simplest polynomial multipliers used to reach the two condition equations resulting from n equations in n - 2 unknowns 278
About a much broader use of the arbitrary coefficients and their usefulness to reach the condition equations with lowest literal dimension 301
About systems of n equations in p unknowns, where p < n 307
When not all proposed equations are necessary to obtain the condition equation with lowest literal dimension 314
About the way to find, given a set of equations, whether some of them necessarily follow from the others 316
About equations that only partially follow from the others 318
Re exions on the successive elimination method 319
About equations whose form is arbitrary, regular or irregular. Determination of the degree of the final equation in all cases 320
Remark 327
Follow-up on the same subject 328
About equations whose number is smaller than the number of unknowns they contain. New observations about the factors of the final equation 333 |
The Calculator Based Laboratory 2 (CBL2™) brings the world into the classroom. Students gather real-world data which can then be graphed and analyzed on a graphing calculator. Features include: • Use with TI-73, TI-82, TI&..
Many educators believe this visualization graphing technology helps students improve their conceptual understanding of mathematical concepts, enhancing classroom dynamics. The ViewScreen™ Overhead Display Unit includes one of each of the foll..
Ideal for students studying general math, pre-algebra, algebra, and trigonometry. Features 131 functions and an uncluttered keyboard with a large "=" button to minimize mistakes. Can be used for regression analysis in statistics, as well..
A technology breakthrough - two-line display lets you see entry and calculated result at the same time. Features include: • View entry and result at the same time • Edit current entry • Menus with functions and m..
Lessons provided delve into the five environments of the TI-Nspire™ including calculator, graphs and geometry, lists and spreadsheets, notes, and data analysis. Supports NCTM Standards and correlated to standards in all 50 states. 224 pages. I..
Prices listed are U.S. Domestic prices only and apply to orders shipped within the United States.
Orders from outside the
United States may be charged additional distributor, customs, and shipping charges. |
Individual high school courses of Algebra 2 may vary in scope/content, but they all expand on the concepts taught in Algebra 1. I will explain each individual step of every type of equation. For many, learning algebra 2 seems impossible, while other students may see it as an extension of previously mastered skills |
Basic Mathematics for Electronics - 7th edition
Summary: Basic Mathematics for Electronics combines electronic theory and applica-tions with the mathematical principles necessary to solve a wide range of circuit problems. Coverage of mathematical topics reflects current trends in elec-tronics. A complete chapter is devoted to Karnaugh mapping to help students cope with the greater com-plexity of modern digital circuit devices. Marginal notes indicate areas of special interest in computers and computer usage.
To ...show morefacilitate learning, material is presented in a block form that employs a two-color, single-column format. After the initial chapters, sections may be studied ndependently. As each new topic is introduced, illustrative examples and numerous prob-lems, graded from easy to difficult, are given for reinforcement. Answers to odd-numbered problems are provided in the back of the book. The Answers to Even-Numbered Problems booklet contains answers and selected worked-out solutions. A computerized Test Bank and Transparency Masters are also available with this edition |
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Solving Word Problems by Cengage
246
Practice Questions
2
Quizzes
78
Lessons
260
Flashcards
Overview
Solving Word Problems by Cengage is a comprehensive reference guide that explains and clarified the difficulties people often face with word problems, in a simple, easy-to-follow format. Perfect for both students who need some extra help or rusty professionals who want to brush up, Solving Word Problems will help you master everything from simple equations and percents to statistics and probability.
Topics Covered
Topics and concepts covered in Solving Word Problems by Cengage
About the Instructor
To the Reader
Simple Equation Problems
Simple Equation Problems
Length Problems
Age Problems
Use of the Words More Than and Less Than
Inequalities Using the Words at Least and at Most
Number Problems
Percents
Percents
Percents and Decimals
Percents and Numbers
The Percent Is Included
Percent Increase and Decrease
Discounts
Discounts on Discounts
Interest
Interest
Simple Interest
Credit Cards
Compound Interest
Bank Deposits
Investments
Investments
Stocks
Bonds
Profit and Loss
Advanced Level Age Problems
Advanced Level Age Problems
Mixing Problems
Mixing Problems
Stamps and Coins
Liquids with Different Strengths
Diluting Solutions with Water
Mixing Metals
A Mixed Bag
Fruit Candy and Money
Investments at Different Interest Rates
Measurement Problems
Measurement Problems
Ratio and Proportion
Ratio and Proportion
Proportion
Measurements and Conversions
Measurements and Conversions
The Customary System
The Metric System
Conversions Between the Customary and the Metric Systems
Dimensional Analysis
Temperature
Rate Problems
Rate Problems
Motion (Speed) Problems
Work Problems
Statistics and Probability
Statistics and Probability
Averages
Graphs
Probability and Odds
Probability
Odds
Probabilities with And and Or Statements
The Counting Principle Permutations and Combinations
The Fundamental Counting Principle
Permutations
Combinations
Sets
Geometry
Geometry
Plane Geometry
Plane Geometry
Angles
Perimeter
Areas
The Pythagorean Theorem
Angles and Triangles
Exterior Angles
Congruent and Similar Triangles
Polygons
Similar Polygons
The Circle
Solid Geometry
Solid Geometry
Area
Volume
Trigonometry
Analytic Geometry
Review of Equations
Review of Equations
Linear Equations with One Variable
Equations with Denominators Proportions
Non-Proportion Equations
Simultaneous Equations
Quadratic Equations
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Perfect for beginning math students, this program is designed by curriculum experts and experienced teachers to bring students up to speed in the most challenging areas of early-level algebra. Concepts include real…
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Schaum's Outlines of Linear Algebra covers all major topics of study, from Matrices to Linear Equations to Hermitian Forms. This course grounds you in the basics while also offering challenging practice problems, soFrom Angles and Applications, to Inverses of Trigonometric Functions, Trigonometry Prep by Schaum's Outlines includes everything you need to achieve a higher grade in Trigonometry. Equipped with 69 practice questions…
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These videos are designed to supplement the classroom material and provide additional information in a fun and engaging way. PatrickJMT creates his courses to empower people with a bit of math know-how.
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Patrick JMT has been teaching mathematics at the college level for 8 years and has taught at both Vanderbuilt University and at the University of Louisville. In this 18 hour course, Patrick guides you step-by-stepThis course helps you build a strong foundation for calculus by reviewing vital calculus concepts. Taught by Krista King, a calculus tutor with 10 years experience, this course makes calculus accessible to everyone with…
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Patrick JMT has been teaching mathematics at the college level for 8 years and has taught at Vanderbuilt University and at the University of Louisville. This course contains 251 video lessons in which Patrick guides you…
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Patrick JMT has been teaching mathematics at the college level for 8 years and has taught at both Vanderbuilt University and at the University of Louisville. This course uses 277 video lessons to guides students…
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Covering everything calculus from Limits and Continuity to Parametric Equations and Polar Coordinates, Calculus I by NJIT delivers you the essential understanding you need to strengthen your mathematical skill. In this…
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Trigonometry - 2nd edition
Summary: Engineers trying to learn Parallel Words and Math...show more examples are included that provide more detailed annotations using everyday language. Your Turn exercises reinforce concepts and allow readers to see the connection between the problems and examples. Catch the Mistake exercises also enable them to review answers and find errors in the given solutions. This approach gives them the skills to understand and apply trigonometryLOOSE LEAF VERSIONPlease read description before purchase>> annotated teacher edition with publisher notation ???review copy not for sale??? on cover with all Students content and all solutions/ answe...show morers. text only no access code or other supplements. loose leaf needs binder (not included) ship immediately - Expedited shipping available ...show less
$87.55 +$3.99 s/h
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Follett School Solutions, Inc. Woodridge, IL
0470222719 No excessive markings and minimal highlighting. CD Roms, access cards/codes, and other supplemental materials may or may not be included based on availability.
$161162162 |
Maths for A-Level
Assuming GCSE as a starting point (National Curriculum Level 7/8), this A-Level mathematics text provides transitional material in the early chapters ...Show synopsisAssuming GCSE as a starting point (National Curriculum Level 7/8), this A-Level mathematics text provides transitional material in the early chapters for students from a variety of mathematical backgrounds, and caters for a wide spread of ability. It contains the core for A-Level mathematics as outlined in all examination board syllabuses, and additional coverage is included to cater for the pure maths content of A-Level mathematics courses combining pure maths with mechanics / statistics / decision (discrete) maths, and the first half of A-Level pure mathematics.Hide synopsis
Description:Fair. Minor shelfwear/creasing to cover. A few small stains to...Fair. Minor shelfwear/creasing to cover. A few small stains to the closed edge of pages. Pages are free from handwritten notes to the text. A good |
Precalculus
Precalculus
Precalculus With Infotrac
Precalculus, 5th Edition
Study Guide with Solutions for Faires/DeFranza's Precalculus, 4th
Study Guide with Solutions for Faires/Defranza's Precalculus, 5th
Summary
Make the grade with PRECALCULUS and its accompanying technology! With a focus on teaching the essentials, this streamlined mathematics text provides you with the fundamentals necessary to be successful in this course--and your future calculus course. Exercises and examples are presented in the same way that you will encounter them in calculus, familiarizing you with concepts you'll use again, and preparing you to succeed. In-text study aids further help you master concepts. |
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Show More modern practical applications to offer students examples of how mathematics is used in the real world. Each chapter contains integrated worked examples and chapter tests.The book stresses the important roles geometry and visualization play in understanding linear algebra. Lay-flat type |
Elementary Linear Algebra - 6th edition
ISBN13:978-0618783762 ISBN10: 0618783768 This edition has also been released as: ISBN13: 978-0547004815 ISBN10: 0547004818
Summary: The cornerstone of Elementary Linear Algebra is the authors' clear, careful, and concise presentation of material--written so that students can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system.The Sixth Edition incorporates up-to-date coverage of Computer Algebra Systems (Maple/MATLAB/Mathematica); additional support is provided in a corresponding tec...show morehnology guide. Data and applications also reflect current statistics and examples to engage students and demonstrate the link between theory and practice25 +$3.99 s/h
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Silver Arch Books St Louis, MO
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BookMob Ottawa, ON
Hardcover Very Good 0618783768 Great condition! No writing or highlighting. Amazing price, Ships fast |
start taking a more detailed look at
three dimensional space (3-D space or ).
This is a very important topic in Calculus III since a good portion of
Calculus III is done in three (or higher) dimensional space.
We will be looking at the equations of graphs in 3-D space
as well as vector valued functions and how we do calculus with them. We will also be taking a look at a couple of
new coordinate systems for 3-D space.
This is the only chapter that exists in two places in my
notes. When I originally wrote these
notes all of these topics were covered in Calculus II however, we have since
moved several of them into Calculus III.
So, rather than split the chapter up I have kept it in the Calculus II
notes and also put a copy in the Calculus III notes. Many of the sections not covered in Calculus
III will be used on occasion there anyway and so they serve as a quick
reference for when we need them.
Here is a list of topics in this chapter.
The
3-D Coordinate System We will introduce the concepts and notation
for the three dimensional coordinate system in this section.
Equations of Lines In this section we will develop the various forms
for the equation of lines in three dimensional space.
Curvature We will determine the curvature of a function
in this section.
Velocity and Acceleration In this section we will revisit a standard
application of derivatives. We will look
at the velocity and acceleration of an object whose position function is given
by a vector function.
Cylindrical Coordinates We will define the cylindrical coordinate
system in this section. The cylindrical
coordinate system is an alternate coordinate system for the three dimensional
coordinate system.
Spherical Coordinates In this section we will define the spherical
coordinate system. The spherical
coordinate system is yet another alternate coordinate system for the three
dimensional coordinate system. |
This course is designed to prepare students for entrance into a Math A30 course. Topics include simplifying polynomials, exponents and radicals, factoring polynomials and simplifying rational expressions |
Including an array of examples, this is a collection of survey and research papers on various topics in number theory. Presenting both the traditional and modern approaches, it emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects. more...
This book is almost entirely concerned with stream ciphers, concentrating on a particular mathematical model for such ciphers which are called additive natural stream ciphers . These ciphers use a natural sequence generator to produce a periodic keystream. Full definitions of these concepts are given in Chapter 2. This book focuses on keystream... more...
The analysis of the characteristics of walks on ordinals is a powerful technique for building mathematical structures. This book offers an exposition of this method. It lays emphasis on applications which are presented in a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory and combinatorics. more...
Explains classical elementary number theory and elliptic curves. This book discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography and computation. It details elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory. more...
This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions. -... more... |
This book provides an introduction to Numerical Analysis for the students of Mathematics and Engineering. The book is designed in accordance with the common core syllabus of Numerical Analysis of Universities of Andhra Pradesh and also the syllabus prescribed in most of the Indian Universities. Salient features: Approximate and Numerical Solutions of Algebraic and Transcendental Equation Interpolation of Functions Numerical Differentiation and Integration and Numerical Solution of Ordinary Differential Equations The last three chapters deal with Curve Fitting, Eigen Values and Eigen Vectors of a Matrix and Regression Analysis. Each chapter is supplemented with a number of worked-out examples as well as number of problems to be solved by the students. This would help in the better understanding of the subject. Contents: Errors Solution of Algebraic and Transcendental Equations Finite Differences Interpolation with Equal Intervals Interpolation with Unequal Intervals Central Difference Interpolation Formulae Inverse Interpolation Numerical Differentiation Numerical Integration Numerical Solution of Ordinary Differential Equations Solution of Linear Equations Curve Fitting Eigen Values and Eigen Vectors of a Matrix Regression Analysis less |
Fundamental agebraic concepts are examined in the context of real world applications. Linear, quadratic, polynomial, exponential, and logarithmic functions are explored with emphasis on their numerical, graphical, and algebraic properties. Prerequisite: Grade of C or higher in MATH 106 OR a score of 21 or higher on the math portion of the ACT (or if the ACT was taken before September 1989, a score of 20) OR a score of 500 or higher on the math portion of the SAT OR a passing score on the Columbia College math placement exam.
Prerequisite(s) / Corequisite(s):
Grade of C or higher in MATH 106 or a score of 21 or higher on the math portion of the ACT (or if the ACT was taken before September 1989, a score of 20) or a score of 500 or higher on the math portion of the SAT or a passing score on the Columbia College math placement exam.
Course Rotation for Day Program:
Offered Fall and Spring.
Text(s):
Most current editions of the following:
A TI-84 calculator is required for this course. This calculator will be allowed on most assessment opportunities in this course.
A variety of textbooks deal with the subject of college algebra. Most are satisfactory if they cover the areas under the Topical Outline and emphasize applications. The Math faculty recommend:
College Algebra in Context
By Harshbarger and Yocco (Pearson) Recommended
Essentials of College Algebra with Modeling and Visualization
By Rockswold (Pearson) Recommended
Functions and Change
By Crauder (Cengage) Recommended
Course Objectives
To communicate mathematically in both written and verbal forms.
To reason with symbolic and graphical representations.
To use mathematics to solve real-world problems.
To use technology, such as graphing calculators and computers, to enhance mathematical understanding.
To understand intuitively and formally the mathematical idea of a function and its real world applications.
Measurable Learning Outcomes:
Define functions as special types of relations.
Describe the concept of a function using numerical, graphical, verbal and symbolic perspectives.
Analyze characteristics of a function from its graph or table of values, such as long-term and extreme behavior.
Combine functions arithmetically and through composition.
Recognize how standard transformations affect graphs.
Describe the fundamental concepts associated with inverse functions including the definition of one-to-one functions and the graphical interpretation of inverses.
Use technology to find lines of best fit and interpret the results.
Use lines and systems of linear equations to model real-world situations.
Solve systems of equations algebraically, graphically, and with technology.
Define exponential and logarithmic functions and use them to model real-world situations.
Solve equations with exponential and logarithmic expressions using properties of logarithms and technology.
Define polynomial functions and use them to model real-world situations.
Solve nonlinear equations using factoring and technology.
State the definition of complex numbers and their arithmetic rules.
Use technology to model data using quadratic regression.
Identify and interpret the vertex of a parabola using algebra and technology.
Define rational functions.
Identify and interpret the asymptotes of rational functions using algebra and technology.
Determine an appropriate function to model real world phenomena or events.
Interpret fundamental concepts of linear functions such as slope and intercepts.
Solve quadratic equations using factoring, the quadratic formula and technology.
Topical Outline:
Connections to real-world applications should be incorporated throughout the coverage of the following topics:
Introduction to functions from numerical, graphical, symbolic and verbal perspectives |
An introduction to algebra with a review of basic arithmetic. Includes decimals, fraction, percentage, ratio, proportion, signed numbers, algebraic expressions, factoring, exponents and radicals, linear equations, and graphs. MATH 098 is offered through Extended Studies and a fee is assessed. Credit does not count toward graduation. Graded Satisfactory/Unsatisfactory only.
A review of the arithmetic of fractions and decimals, percentage problems, signed numbers, arithmetic, and topics of basic algebra, including simplifying algebraic expressions, solving and graphing linear equations, basic factoring, working with algebraic fractions, and solving rational and quadratic equations. This course is designed for students who need a review of the basic algebra skills necessary to complete the required mathematics courses MATH 131 or MATH 140. MATH 099 is offered through Extended Studies and a fee is assessed. Credit does not count toward graduation. Graded Satisfactory/Unsatisfactory only. Prerequisite: ACT math score of 16 or above
An investigation of a number of mathematical concepts, which may include ratios and proportions, descriptive statistics, sets and logic, geometry, right-angle trigonometry, counting, and probability. A variety of teaching methods are employed such as cooperative groups, writing about mathematics, and technology (calculators and computers). Prerequisite: ACT math score of 19 or above
Preparation for calculus by the study of functions of one variable over the real numbers. These are introduced in general and then applied to the usual elementary functions, namely polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. Inverse functions, polar coordinates and trigonometric identities are included. Prerequisite: ACT math score of 23 or above
First of two courses designed for prospective elementary teachers. Emphasizes the real number system, arithmetic operations, and algebra. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and structures. Content is presented using problem solving and exploration. Prerequisite: ACT math score of 23 or above, SAT math score of 530 or above
An introduction to descriptive statistics, probability concepts, and inferential statistics. The topics for the course include presentation of data, counting principles, probability rules, and discrete and continuous probability distributions. Prerequisite: MATH 141 with a minimum grade of "C-,"' or Accuplacer College-Level Mathematics test score of 85 or above
Students develop and use elementary logic and set theory to construct deductive proofs with relations, functions, and some algebraic structures. Topics include indexing, equivalence relation theory, and cardinality. Prerequisite: MATH 151 with a minimum grade of "C-."
Topics include techniques of integration, area computations, improper integrals, infinite series and various convergence tests, power series, Taylor's Formula, polar coordinates, and parametric curves. Prerequisite: MATH 151 with a minimum grade of "C-."
A course designed to help Secondary Licensure Emphasis majors understand the core mathematical content of high school mathematics courses before calculus. These concepts are treated from an advanced standpoint, emphasizing connections and extensions. Topics include number systems, polynomial and transcendental functions, analytic geometry, theory of equations, and measurement. Prerequisite: MATH 151 with a minimum grade of "C-."
Designed to teach the basic principles of mathematical modeling and applied mathematics. Techniques from calculus, statistics, and probability are utilized to model real-world problems. Analytic and numeric tools are used to implement the models, obtain predictions and investigate underlying mechanisms. Topics include dimensional analysis, curve fitting, simulations, differential and difference equations. Prerequisites: MATH 251 and MATH 213 with minimum grades of "C-."
An introduction to the theory of calculus. Topics include the usual topology of the reals, sequences, limits, continuity, differentiation, and Riemann integration. Prerequisites: MATH 220 and MATH 252 with minimum grades of "C-."
A Capstone Course for the Mathematics Standard Major and for the Secondary Licensure Emphasis. Each student selects an area of interest, researches the selected area, generates a reference list and research paper, and presents the paper to a seminar of faculty and students. Prerequisites: MATH 360 and either MATH 451 or MATH 471. |
Questions About This Book?
The Used copy of this book is not guaranteed to inclue any supplemental materials. Typically, only the book itself is included.
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Ewen/Nelson's ELEMENTARY TECHNICAL MATHEMATICS, Ninth Edition is a well-respected, extremely user-friendly text. It emphasizes essential math skills and consistently relates math to practical applications so students can see how learning math will help them on the job. The applications are drawn from a wide array of technical fields, making the text useful to a broad range of students. Annotated examples and visual images are used to engage students and assist with problem solving. Comprehensive and well-organized, this text engages students, providing them with a solid foundation in mathematical principles that will help them to succeed in the current course and beyond. |
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This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. Chapter 7, Geometry, has been extensively revised and re-organized to include a new section 7.1 on angles and new section 7.4 devoted to triangles. Increased coverage of estimating with fractions and decimals with new "To Think About" exercises in Sections 2.5, 2.8, and 3.3 and a new lesson in Section 3.7. Coverage of fractions in Chapter 2 has been expanded as follows: Section 2.6 now begins with a discussion of least common multiples so that the subsequent coverage of least common denominators is more complete; a new lesson on order of operations in Section 2.8 offers readers additional review of these rules and practice applying them to fractions; and a new mid-chapter test on fractions appears after Section 2.5. Percent applications are now covered in two sections (Sections 5.4 and 5.5) to allow for a more patient presentation of this important topic.
Table of Contents
Preface
xi
Acknowledgments
xix
To the Student
xxix
Diagnostic Pretest
xxxi
Whole Numbers
1
(106)
Pretest Chapter 1
2
(2)
Understanding Whole Numbers
4
(10)
Addition of Whole Numbers
14
(12)
Subtraction of Whole Numbers
26
(12)
Multiplication of Whole Numbers
38
(13)
Division of Whole Numbers
51
(11)
Putting Your Skills to Work: Costs for Vacation
61
(1)
Exponents and Order of Operations
62
(7)
Rounding and Estimation
69
(11)
Applied Problems
80
(27)
Math in the Media
94
(1)
Chapter Organizer
95
(3)
Chapter 1 Review Problems
98
(6)
Chapter 1 Test
104
(3)
Fractions
107
(92)
Pretest Chapter 2
108
(2)
Understanding Fractions
110
(7)
Simplifying Fractions
117
(9)
Improper Fractions and Mixed Numbers
126
(7)
Multiplication of Fractions and Mixed Numbers
133
(7)
Division of Fractions and Mixed Numbers
140
(10)
Test on Sections 2.1 to 2.5
148
(2)
The Least Common Denominator and Building up Fractions
150
(9)
Addition and Subtraction of Fractions
159
(7)
Combining Mixed Numbers and Order of Operations
166
(9)
Putting Your Skills to Work: A Colonial Recipe
174
(1)
Applied Problems Involving Fractions
175
(24)
Math in the Media
187
(1)
Chapter Organizer
188
(3)
Chapter 2 Review Problems
191
(4)
Chapter 2 Test
195
(2)
Cumulative Test for Chapters 1--2
197
(2)
Decimals
199
(66)
Pretest Chapter 3
200
(2)
Decimal Notation
202
(6)
Comparing, Ordering, and Rounding Decimals
208
(6)
Addition and Subtraction of Decimals
214
(8)
Multiplication of Decimals
222
(7)
Division of Decimals
229
(9)
Putting Your Skills to Work: The Thinning Ice Cap
237
(1)
Converting Fractions to Decimals and Order of Operations
238
(8)
Applied Problems Involving Decimals
246
(19)
Math in the Media
254
(1)
Chapter Organizer
255
(3)
Chapter 3 Review Problems
258
(4)
Chapter 3 Test
262
(1)
Cumulative Test for Chapters 1--3
263
(2)
Ratio and Proportion
265
(42)
Pretest Chapter 4
266
(2)
Ratios and Rates
268
(8)
The Concept of Proportions
276
(6)
Solving Proportions
282
(8)
Applied Problems Involving Proportions
290
(17)
Putting Your Skills to Work: Studying the Moose Population
297
(1)
Math in the Media
298
(1)
Chapter Organizer
299
(1)
Chapter 4 Review Problems
300
(4)
Chapter 4 Test
304
(2)
Cumulative Test for Chapters 1--4
306
(1)
Percent
307
(60)
Pretest Chapter 5
308
(2)
Understanding Percent
310
(7)
Changing Between Percents, Decimals, and Fractions
317
(9)
Solving Percent Problems Using an Equation
326
(8)
Solving Percent Problems Using a Proportion
334
(7)
Solving Applied Percent Problems
341
(7)
Solving Commission, Percent of Increase, and Interest Problems
348
(19)
Putting Your Skills to Work: Nutrition Facts and Percents
354
(1)
Math in the Media
355
(1)
Chapter Organizer
356
(3)
Chapter 5 Review Problems
359
(3)
Chapter 5 Test
362
(2)
Cumulative Test for Chapters 1--5
364
(3)
Measurement
367
(48)
Pretest Chapter 6
368
(1)
American Units
369
(7)
Metric Measurements: Length
376
(9)
Metric Measurements: Volume and Weight
385
(7)
Conversion of Units (Optional)
392
(8)
Putting Your Skills to Work: Ships and Nautical Miles
399
(1)
Solving Applied Measurement Problems
400
(15)
Math in the Media
406
(1)
Chapter Organizer
407
(1)
Chapter 6 Review Problems
408
(3)
Chapter 6 Test
411
(2)
Cumulative Test for Chapters 1--6
413
(2)
Geometry
415
(98)
Pretest Chapter 7
416
(3)
Angles
419
(8)
Rectangles and Squares
427
(9)
Parallelograms, Trapezoids and Rhombuses
436
(8)
Triangles
444
(7)
Square Roots
451
(5)
The Pythagorean Theorem
456
(8)
Circles
464
(9)
Volume
473
(9)
Putting Your Skills to Work: Newspaper Math
480
(2)
Similar Geometric Figures
482
(7)
Applied Problems Involving Geometry
489
(24)
Math In the Media
495
(1)
Chapter Organizer
496
(4)
Chapter 7 Review Problems
500
(6)
Chapter 7 Test
506
(3)
Cumulative Test for Chapters 1--7
509
(4)
Statistics
513
(44)
Pretest Chapter 8
514
(3)
Circle Graphs
517
(6)
Bar Graphs and Line Graphs
523
(7)
Putting Your Skills to Work: America's Aging Population
529
(1)
Histograms
530
(7)
Mean, Median and Mode
537
(20)
Math in the Media
544
(1)
Chapter Organizer
545
(1)
Chapter 8 Review Problems
546
(7)
Chapter 8 Test
553
(2)
Cumulative Test for Chapters 1--8
555
(2)
Signed Numbers
557
(50)
Pretest Chapter 9
558
(2)
Addition of Signed Numbers
560
(11)
Subtraction of Signed Numbers
571
(6)
Multiplication and Division of Signed Numbers
577
(6)
Order of Operations with Signed Numbers
583
(5)
Scientific Notation
588
(19)
Putting Your Skills to Work: Mathematics of Cleaning Up Nuclear Waste
595
(1)
Math in the Media
596
(1)
Chapter Organizer
597
(1)
Chapter 9 Review Problems
598
(4)
Chapter 9 Test
602
(2)
Cumulative Test for Chapters 1--9
604
(3)
Introduction to Algebra
607
(59)
Pretest Chapter 10
608
(2)
Variables and Like Terms
610
(5)
The Distributive Property
615
(6)
Solve Equations Using the Addition Property
621
(5)
Solve Equations Using the Division or Multiplication Property
626
(5)
Solve Equations Using Two Properties
631
(7)
Putting Your Skills to Work: The Relationship of Gender and Income
637
(1)
Translating English to Algebra
638
(7)
Applications
645
(21)
Math in the Media
655
(1)
Chapter Organizer
656
(3)
Chapter 10 Review Problems
659
(3)
Chapter 10 Test
662
(2)
Cumulative Test for Chapters 1--10
664
(2)
Practice Final Examination
666
Glossary
1
(1)
Appendix A: Tables
1
(4)
Basic Addition Facts
1
(1)
Basic Multiplication Facts
2
(1)
Prime Factors
3
(1)
Square Roots
4
(1)
Appendix B: The Use of a Scientific Calculator
5
Solutions to Practice Problems
1
(1)
Selected Answers
1
(1)
Index of Applications
1
(4)
Subject Index
5
Photo Credits
1
Excerpts
To the Instructor We share a partnership with you. For over thirty years we have taught mathematics courses at North Shore Community College. Each semester we join you in the daily task of sharing the knowledge of mathematics with students who often struggle with this subject. We enjoy teaching and helping students--and we are confident that you share these joys with us. Mathematics instructors and students face many challenges today. Basic College Mathematicswas written with these needs in mind. This textbook explains mathematics slowly, clearly, and in a way that is relevant to everyday life for the college student. As with previous editions, special attention has been given to problem solving in the fourth edition. This text is written to help students organize the information in any problem-solving situation, to reduce anxiety, and to provide a guide that enables students to become confident problem solvers. One of the hallmark characteristics of Basic College Mathematicsthat makes the text easy to learn and teach from is the building-block organization. Each section is written to stand on its own, and each homework set is completely self-testing. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formats--including lecture-based classes; discussion-oriented classes; distance learning centers; modular, self-paced courses; mathematics laboratories; and computer-supported centers. Basic College Mathematicsis the first text in a series that includes the following: Tobey/Slater, Basic College Mathematics,Fourth Edition Blair/Tobey/Slater, Prealgebra,Second Edition Tobey/Slater, Beginning Algebra,Fifth Edition Tobey/Slater, Intermediate Algebra,Fourth Edition Tobey/Slater, Beginning and Intermediate Algebra We have visited and listened to teachers across the country and have incorporated a number of suggestions into this edition to help you with the particular learning delivery system at your school. The following pages describe the key continuing features and changes in the fourth edition. Key Features and Changes in the Fourth Edition Developing Problem-Solving Abilities We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problem-solving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other bodies. To this end, the problem sets are built on a wealth of real-life and real-data applications. Unique problems have been developed and incorporated into the exercise sets that help train students in data interpretation, mental mathematics, estimation, geometry and graphing, number sense, critical thinking, and decision making. More Applied Problems The exercises and applications have been extensively revised. Numerous real-world and real-data application problems show students the relevance of the math they are learning. The applications relate to everyday life, global issues beyond the borders of the United States, and other academic disciplines. Many include source citations. Nearly 50 percent of the applications are revised or new. The number of real-data applications has significantly increased. Roughly 30 percent of the applications have been contributed by actual students based on scenarios they have encountered in their home or work lives. Math in the Media New Math in the Media applications appear at the end of each chapter to offer students yet another opportunity to see why developing mastery of mathematical concepts enhances their understanding of the world around them. The applications are based on information from familiar media sources--either online or print. |
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Mathematics for Elementary Teachers: A Conceptual Approach
9780073519579
ISBN:
007351957X
Publisher: McGraw-Hill
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This is my first college math book I've ever even opened. The examples are great! A lot of the odd numbered problems show the answers at the back of the book and that was a big help to know if we were doing the problem correct or not.
I was taking Math 155 & 156. It used the book all the time and it helps to get the manipulative kit. |
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Michael Serra
From the author of Discovering Geometry: An Investigative Approach and Smart Moves: the Games and Puzzles series; videos such as DG Investigations and "How to Teach Math Anxiety"; articles and handouts on cooperative learning; speaking engagements andidimensional Analysis - George W. Hart
A brief introduction to Multidimensional Analysis, a generalization of linear algebra that incorporates ideas from dimensional analysis. The central idea is that vectors and matrices as used in science and engineering can be thought of as having elements
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Multivariate polynomial interpolation - Shayne Waldron
A summary of some on-going investigations into the error in multivariate interpolation. This page is organised to more generally serve those interested in multivariate polynomial interpolation (error formulae and computations). Work on differencing, multi-point
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My Reckonings - Ron Doerfler
Doerfler's book Dead Reckonings: Calculating without Instruments "describes techniques of computation and approximation that can be used to rapidly and mentally calculate mathematical quantities." Other sections of the site discuss sundials; astrolabes
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National Academy of Sciences
A private, nonprofit, self-perpetuating society of distinguished scholars engaged in scientific and engineering research, dedicated to the furtherance of science and technology and to their use for the general welfare. The Academy has a mandate to advise
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A Numerical Library in Java - Hang T. Lau
The book contains the source code of a comprehensive numerical library in
Java. The library can be used to solve a wide range of numerical problems
in linear algebra, the numerical solution of ordinary and partial
differential equations, Fast FourierOpsResearch - DRA Systems
A collection of Java classes for developing operations research programs and other mathematical applications. The site includes documentation and tutorials, and software download is free. Also features a bookstore and related links.
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Photos of architect Legendre's 2011 book by the same title. Pasta by Design provides an illustrated taxonomy of over 90 forms of pasta, along with the mathematical formulae, descriptions of special attributes, and advice on specific cooking uses for each
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Philippe Flajolet
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A syllabus and collected resources for a course in the philosophy of science, including excerpts from various books. Topics include ancient Greek science and mathematics: the Golden Section, Pythagoras, infinity and continuity, and Plato and Aristotle,
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La Palma TrigonometryThere are three main components of precalculus that are so vital that I suggest students must know:
1. Know how to represent functions. There are many different ways you can describe a functions, the most popular are algebraic and graphical.
2 |
8 subjects
including calculus |
More About
This Textbook
Overview
The Angel Series continues to offer proven pedagogy, sound exercise sets and superior user support. An emphasis on the practical applications of algebra motivates readers and encourages them to see algebra as an important part of their daily lives. The user friendly writing style uses short, clear sentences and easy to understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The new editions continue to place a strong emphasis on problem solving. Real Numbers; Solving Linear Equations; Formulas and Applications of Algebra; Graphing Linear Equations; Exponents and Polynomials; Factoring; Rational Expressions and Equations; Functions and Their Graphs; Systems of Linear Equations; Inequities in One and Two Variables; Roots, Radicals, and Complex Numbers; Quadratic Functions; Exponential and Logarithmic Functions; Conic Sections; and Sequence, Series, and the Binominal Theorem. For any professional needing to apply algebra to their work.
Editorial Reviews
Booknews
This book has been designed to eliminate the overlap that commonly occurs in elementary and intermediate algebra textbooks. The first seven chapters cover material commonly taught in elementary algebra college courses, such as real numbers, linear equations, formulas, graphing, exponents, factoring, and rational expressions and equations. Angel (Monroe Community College) then incorporates intermediate algebra topics such as systems of equations, inequalities in one and two variables, roots, radicals, quadratic functions, logarithmic functions, conic sections, and the binomial theorem. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Related Subjects
Meet the Author
Allen R. Angel received his AAS in Electrical Technology from New York City Community College. He then received his BS in Physics and his MS in Mathematics from SUNY at New Paltz, and he took additional graduate work at Rutgers University. He is Professor Emeritus at Monroe Community College in Rochester, New York where he served for many years as the chair of the Mathematics Department. He also served as the Assistant Director of the National Science Foundation Summer Institutes at Rutgers University from 1967—73. He served as the President of the New York State Mathematics Association of Two Year Colleges (NYSMATYC) and the Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). He is the recipient of many awards including a number of NISOD Excellence in Teaching Awards, NYSMATYC's Outstanding Contributions to Mathematics Education Award, and AMATYC's President Award. Allen enjoy tennis, worldwide travel, and visiting with his children and granddaughter |
Papers and other writings on the SimCalc Project, which aims to democratize access to the Mathematics of Change for mainstream students: "Learning the Basics with Calculus"; "An introduction to the profound potential of connected algebra activities:issues of representation, engagement and pedagogy"; "Leveraging handhelds to increase student learning: Engaging middle school students with the mathematics of change"; "The networked classroom"; "Improving understanding of core algebra and calculus ideas in a connected SimCalc classroom"; and more. |
Mathematical Problem Solving in North Texas
A dynamical system is a set of functions that depend on each other. For example, dynamical systems are often present in ecosystems: more plants mean more plant-eaters, and more plant-eaters mean fewer plants. These systems can be difficult to predict, as one thing affects another, which affects the first, which affects the other, and so on.
Fortunately, dynamical systems can be simplified. This lecture focuses on an important type of dynamical system that can be solved with some creative usage of matrices. We'll also discuss the related concept of "eigenvalues," a simple concept with some very interesting implications.
The first hour of this talk will be targeted primarily at the younger part of our audience (roughly in grades 4-7) – we will explain the fundamental rules of counting that can be used to solve even very hard problems: rule of sum (addition principle), rule of product (multiplication principle), pigeonhole principle, and the inclusion-exclusion principle. We will use them to solve a number of interesting problems from various competitions. For those students already familiar with these concepts, we will have a set of problems to keep them busy during the first hour.
The second hour will be targeted at the more experienced members of the Math Circle community (roughly grades 8-12). First, we will discuss several techniques used to prove combinatorial identities (combinatorial arguments, algebraic manipulations, and the method of generating functions). We will prove several important combinatorial identities using all of these techniques, illustrating the diversity of approaches found in combinatorics. After that we will look at applications of combinatorics in number theory, geometry, and graph theory, illustrating them with more interesting and challenging problems. While the younger part of our audience may not be able to follow everything during the second hour, it will be a great exposure to advanced mathematical topics, to show them they have a lot more to learn.
Throughout the talk we will highlight the mathematicians who developed this beautiful mathematical field, from its beginnings in gambling to modern applications in medicine, science, and technology.
Like this:
Abstract Algebra is the set of advanced topics of algebra that deal with abstract algebraic structures rather than the usual number systems. The most important of these structures are groups, rings, and fields.
In the following introduction to this topic, we will discuss Binary Operations, Groups, Subgroups, Cyclic Groups, Cayley Digraphs, and how they relate to each other. With a thorough understanding of these topics, students will have the basis to further examine the subject that is Abstract Algebra.
There are many times when we come across polynomial equations. In school, we certainly learn how to solve linear equations, then we learn how to solve quadratic and cubic equations, and finally we find out that we can view them as one mathematical object! That object is called a polynomial, it is simple and has very nice properties.
In our lecture we present a unified view of polynomials. This will help you understand concepts covered in school much better and much faster. There will be plenty of tricky Olympiad problems related to them and it will be fun!!
Like this:
The AMC 10A/12A is on February 4th and the AMC 10B/12B is on February 19th. If you'd like a chance to learn some interesting tips and techniques to help with these competitions, then please join us for this enlightening Math Circle. Adrian Andreescu, Vinjai Vale, and Dr. Titu Andreescu will be presenting problems to challenge and delight.
If you have yet to sign up for these tests and your school does not offer them, there is still room for both dates (these testing sites are not sponsored by Metroplex Math Circle). Registration will be held outside the math circle room, ECSS 2.201. |
Designing Learning Environments for Developing Understanding of Geometry and Space
soning, rather than being merely a two-column ritual, becomes a method
of justification and communication.
In the last chapter in this section, Devaney suggests bringing the
fields of contemporary mathematical research into middle- and high-
school geometry classrooms. Noting the availability of new technologies,
he argues that access to such topics as chaos and fractals--when introduced appropriately (e.g., through "The Chaos Game" he describes)--can
not only introduce students to a wide range of concepts, but also stimulate, perhaps even excite their interest in mathematics as a whole.
Together, these four chapters attempt to redirect our thinking on
geometry education, pointing us in rich directions for enhancing and reforming the teaching and learning of geometry and space.
REFERENCE
National Council of Teachers of Mathematics. ( 1989). Curriculum and evaluation standards for
school mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. ( 1991). Professional standards for teaching mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. ( 1995). Assessment standards for school mathematics. Reston, VA: Author |
Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures |
Grant Keady
Grant Keady, a member of the faculty of the University of Western Australia, Dept of Mathematics and Statistics, Western Australia, researches fluid dynamics and related subjects, with forays into computer algebra. Some of his papers are available online
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Granular Volcano Group - Sebastien Dartevelle
The site aims to describe and understand granular flows, fluid dynamic, supercomputer modeling, grain features, and behaviors in volcanology. Includes descriptions of frictional, kinetic, and collisional rheologies of granular matter, and definitions
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GraphCalc - Mike Arrison
A graphing calculator program for Windows. Features include three-dimensional graphing, calculus, and statistics. Download a shareware version, read online documentation, request a feature, or read about the authors.
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Graphics Archive - The Geometry Center
General interest images of an artistic nature, or of general interest to the public, including fractals, digital art, etc.; Special Topics - images created during research projects at the Geometry Center; Video Productions - images from videos produced
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Graphing Applets for Calculus - Eric A. Carlen
A collection of calculus applets, two packages of Java classes used for writing such applets, and full documentation of the packages and their use, with source code for all the sample applets. Applet topics include: the basins of attraction for Newton's
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Graphing Calculator for Mac and Windows - Pacific Tech
Graphing Calculator calculates and displays two- and three-dimensional mathematical objects easily, and saves animations as QuickTime movies. The site includes a list of features, a guided tour, a picture gallery, a free demo, and ordering capabilities,
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Graphing Calculator - Pacific Tech
Graphing Calculator is a tool for quickly visualizing math: type an equation and it is drawn for you without complicated dialog boxes or commands. Graphing Calculator 2.2, a commercial release, features symbolic and numeric methods for visualizing two
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Graphing Vector Calculator - Paul Flavin
An interactive Java applet which, given two vectors, will add or subtract them, producing graphical and numerical solutions almost instantly. The vectors are drawn on a labeled grid, the numerical representations are aligned in matching colors, and a
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GraphPanel - David Binger; Centre College
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Graph Paper Printer - Philippe Marquis
A free Windows 95/98 or NT4 application, downloadable from the site and designed to print custom graph paper in any size and in color. Options available through dropdown menus include: Rectangular, circular, triangular, hexagonal, axonometric diagrams;
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Graph Partitioners - Guy Blelloch
Three algorithms written in NESL for finding separators of graphs, for the purpose of comparing the quality of the cuts. From the Scandal Project on developing a portable, interactive environment for programming a wide range of supercomputers (see Implementations
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GraphSight - CradleFields.com
A graphing tool to plot and interactively explore 2D math functions in the coordinate plane. Drag, click, and move graphed objects. The site offers a gallery of math-related graphics and help documentation. Download a trial version of GraphSight, or purchase
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Graph Theory and Its Applications - Gross, Yellen
Pages designed to provide information about the textbook Graph Theory and Its Applications and to serve as a comprehensive graph theory resource for graph theoreticians and students. See also Graph Theory Resources, a support page maintained by Daniel
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Graph Theory - Dave Rusin; The Mathematical Atlas
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Great Math Programs - Xah Lee
A listing about 40 excellent recreational math programs for Macintosh that do: polyhedra and Rubic cubes, curves and surfaces, fractals and L-systems, tilings and symmetry, game of hex and game of life, chess and five-in-a-row, peg solitare and polyominos,
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Greek Astronomy - MacTutor Math History Archives
Linked essay tracing the history of Greek astronomy from its beginnings with
Thales, in philosophy and timekeeping, through Pythagoras, Eratosthenes,
Hipparchus, Ptolemy, Plato, Aristotle, Aristarchus, and many others; with
references to relevant
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Greek Letters and Math Symbols - Karen M. Strom
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GreenHouse Gas Online
A site devoted to greenhouse gas and climate change-related science, containing climate change news and links to the abstracts of hundreds of greenhouse gas-related scientific papers. With discussions of the main types of greenhouse gas, and the global
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Book Description: This book can be used individually or as a set with Chenier's Practical Math Dictionary. This book is designed to parallel and enhance any practical math class from general education through college level programs. Many of these math concepts are left out of traditional math books and are relevant to many different trades, occupations, do-it-yourselfers, home owners, home schools, etc. This book includes testing material, economical hands-on projects that simulate industry (use with sticks of wood, chalk lines, flip chart paper, etc.), the answers, and many different unique modules for projects, classroom situations, self-study, industry, etc. All have been proven in the classroom and on-the-job. It's size is 8 1/2" x 10 1/4", has perforated pages and 3 hole drilled |
This text contains a compilation of mathematical questions raised by the students of
pre-service and in-service teachers. Also, suggested solutions to these questions are
provided. The mathematical areas covered in the first three chapters are Junior High,
Algebra I, and Geometry. Examples of topics include decimals and percents, fractions,
exponents, factoring, equations, angles, congruences, polygons, and similarity.
This text contains a compilation of mathematical questions raised by the students of
pre-service and in-service teachers. Also, suggested solutions to these questions are
provided. The mathematical areas covered in the last two chapters are Algebra II and
Advanced Topics in Secondary Mathematics. Examples of topics include absolute value,
logarithms, rational and complex numbers, radicals, derivatives, integrals, asymptotes,
functions, series, and sequences.
National Council of Teachers of Mathematics, Principles and Standards for
School Mathematics. Reston, VA: NCTM, April 2000.
This 402-page text is organized into 8 chapters and updates previous NCTM standards,
including the 1989 Curriculum and Evaluation Standards for School Mathematics, the
1991 Professional Standards for Teaching Mathematics, and the 1995 Assessment
Standards for School Mathematics. The preface and first chapter of Principles and
Standards outlines the objectives of the effort and the second chapter describes the
six principles underlying the recommendations of the document. These principles involve
Equity, Curriculum, Teaching, Learning, Assessment, and Technology. Chapter 3 contains an
outline of the ten standards describing what mathematics students should know in
prekindergarten through grade 12. The five standards addressing mathematical content are
Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability;
the five standards addressing mathematical processes are Problem Solving, Reasoning and
Proof, Communication, Connections, and Representation.
Then, the following 4 chapters discuss the standards applied to four grade bands,
namely prekindergarten to grade 2, grades 3 to 5, grades 6 to 8, and grades 9 to 12. For
each grade band, suggestions for implementing the standards are offered as well as more
specific "expectations" regarding each of the five content standards. The final
chapter of Principles and Standards offers suggestions for the continued improvement of
mathematics education and the Appendix contains a summary of the standards and
expectations in each grade band.
"The Learning Environment, Teacher Sensitivity, and Mathematics Teachers as
Professionals".
The second part of the book provided enrichment units for the secondary mathematics
curriculum. Each unit provides objectives, pre and post assessment of student
understanding, description of the topic, and some teaching strategies. |
...
Show More course by way of an artificial intelligence engine. ALEKS provides students with a map (pictorial graph) of their progress to identify mathematical skills they have mastered and skills where remediation is required. Icons accompany exercises in the text where a similar problem is available in ALEKS |
The aim of the book is to give a oad introduction to topology for undergraduate students. It covers the most important and useful parts of the point-set as well as combinatorial topology. The development of the materia is from simple to complex. concrete to abstract. and appeals to the intuition of the reader. Attention is also paid to how topology is actually used in the other fields of mathematics. Qver 150 illustrations . 160 examples and 600 exercises will help readers to practice and fully understand the subject. Contents: 1 Set and Map1.1 Set1.2 Map1.3 Counting1.4 Equivalence Relation and Quotient2.Metric Space2.1 Metric2.2 Ball2.3 Open Subset2.4 Continuity2.5 Limit Point2.6 Closed Subset3.Graph and Network3.1 Seven idges in KSnigsberg3.2 Proof of One-Trip Criterion3.3 Euler Formul... |
Mathematics Placement
Your initial placement - how to decide which mathematics courses to take first.
Contents
Students entering the University are often puzzled by mathematics placement. Placement in mathematics courses is probably more complicated than in any other discipline. The department offers as many as fifteen different courses that would reasonably have a majority of first time freshmen. The various degree programs at the University have more than 20 distinct sets of mathematics requirements.
Rather than go through the requirements for each program, it makes more sense to break programs into groups with similar math requirements.
Group 1: Students in Science/Pre-Med/Mathematics/Computer Science/Engineering
Group 6A: Students for whom MATH 120 would be challenging (Remedial math placement)
Group 6B: Students not needing remediation
Group 6C: Strong/honors students
Our goal is to place the student in an appropriate mathematics course that offers the student a good chance of success. Students placed in too easy a course may be bored or develop poor study skills and thus be handicapped in future mathematics courses. Students is too easy a course may also correctly feel that they are wasting time and tuition by retaking material they learned in high school. On the other hand, students placed in too difficult a mathematics course may be hopelessly lost and become discouraged.
Some helpful strategies in finding the math course best suited for you:
Talk to your advisor.
Talk to faculty members in the area in which you want to major.
Academic services has a desk set of textbooks used in introductory math courses. Looking at the textbook may help you decide if a course is too hard or too easy.
Talk to your advisor.
In spite of our best efforts, the mathematics course selected may not be the most appropriate one. If, after attending class during the first week of the semester, you feel incorrectly placed, you should consult with your math instructor and then meet with your advisor. Problems get harder to fix after the first week of class.
MATH 141 - Pre-calculus - Basically a course in trigonometry. It is equivalent to a yearlong high school course in analysis or pre-calculus.
MATH 142 - Calculus I - Differential calculus
MATH 143 - Calculus II - Integral calculus
Mathematics placement advice by group
Group 1: Students in Science/Pre-Med/Mathematics/Computer Science/Engineering
Strong students will have had a year of calculus in high school and should start in Calculus II (MATH 143); typical students either take MATH 142; or MATH 141, then MATH 142. Students having credit for Calculus I upon entering SLU but in need of an additional math course to fill the core requirement may elect to take MATH 165 or MATH 167.
Group 2: Students in Engineering Technology
Students normally take MATH 141, then MATH 142 during their first year.
Group 3: Students in Business
Students would be expected to take MATH 132; or MATH 120, then MATH 132. In addition, students planning to do graduate work in business will need more math and should discuss taking MATH 141 and MATH 142, which satisfies B&A requirements, with someone from B&A.
Group 4: Students in Parks Flight Science
Students would be expected to take MATH 142; or MATH 141 and MATH 142; or MATH 120, then MATH 141 and MATH 142.
Group 5: Students in Groups 1 through 4 needing serious remedial work
Students in Groups 1 and 2 who are not ready for MATH 141 or in Groups 3 and 4 who are not ready for MATH 120 are at least a semester behind in a key field. This issue should be explicitly discussed.
Possible paths to MATH 120 are:
MATH 112, MATH 113
MATH 114
Possible paths to MATH 141 are:
MATH 112, MATH 113, MATH 120
MATH 114, MATH 120
Group 6: Students satisfying general requirements
The subgroups listed below are in order of increasing math preparation. They are filling the requirement that they take an appropriate mathematics course with MATH 120, College Algebra, being the lowest course that counts.
Group 6A: Students for whom MATH 120 would be challenging (Remedial math placement)
Students in this group should take the COMPASS placement test. Possible paths are:
MATH 122
MATH 114, MATH 122
MATH 112, MATH 113, MATH 122
Group 6B: Students not needing remediation
Choose one depending on interests of student:
MATH 122 - Mathematical preparation equivalent to that of MATH 120
MATH 124/MATH 125/MATH 126/MATH 165 (SLU Inquiry courses) or MATH 130 - These are more interesting courses. However, they do not prepare the student for higher mathematics courses. Education, Communications, and Fine Arts prefer the SLU Inquiry courses for their students when appropriate. MATH 124, MATH 125, MATH 126 and MATH 130 are offered both semesters.
Group 6C: Strong/honors students
One of the courses in Group 6B or
MATH 266 - Students should have done well in a year of high school calculus or have credit for Calculus I. This will count for honors credit for freshmen and sophomores. It is the transitions course to what mathematicians will think of as real math.
MATH 130 or MATH 166 - Students who have credit for Calculus I from high school and do not need Calculus II but do need one math course at SLU to satisfy the core requirement.
MATH 165 - Students should have 4 years of high school math.
Evaluating mathematics courses in a high school transcript
The standard sequence of high school math courses is Algebra I, Geometry, Algebra II (or Algebra II/Trig), Pre-calculus (or Analysis), and Calculus. A first cut at mastery would be courses with a grade of B or better.
Algebra II typically covers the same material as College Algebra. This should be a sophomore or junior level course and is required for admission according to the catalog. Often the course will be titled as Algebra II/Trig. In such a case the treatment of trigonometry is typically very superficial.
A solid year course in Calculus in high school covers about 1 1/2 semesters of college calculus.
Many students will fall off the main mathematics track after Algebra II or Analysis/Pre-calculus. They may take courses like Statistics, Business Math or Discrete Math. Such courses will not prepare students to go deeper in the standard math sequences, but they will raise math maturity and should be considered as preparation for the freshman courses that do not go on. These include MATH 122, MATH 124, MATH 125, MATH 126, MATH 135, MATH 165 and MATH 167.
The MATH-INDEX
Students are placed in a math course based on their Math-Index. This number is computed based on the ACT or SAT score and their high school GPA. The placement of students is based on the success rates of students from previous years.
No placement test is perfect, and students who feel the Math-Index may not be placing them correctly have some options:
If you feel you should be in a lower level course, simply ask you adviser to move you down to the appropriate course.
If you think you should be placed in a higher level course, you should take a diagnostic test. These tests check that you have sufficiently mastered the material in the pre-requisite course.
The Diagnostic Test:
These tests are available in the Department of Mathematics and Computer Science.
They will take approximately 2 hours to complete.
You may retake the diagnostic test if you like.
You may use your own scientific or graphing calculator. Note however that unacceptable calculators at the current time are |
College Calculus I & II
COURSE DESCRIPTION: A college level study of differential and integral calculus.
COURSE MATERIALS: The text for this course is "Calculus Early Transcendental Functions by Larson, Hostetler and Edwards, 4th edition. You are required to purchase the text for this course. We will be using the software Mathematica by Wolfram and Microsoft Excel. It is essential that you have a minimum of a scientific calculator.
COURSE OBJECTIVES: At the end of the semester, students will have an understanding of the concepts and techniques listed above. This understanding will be enhanced, when appropriate, through directed group and individual computer exercises and group and individual projects.
CLASS METHODOLOGY: Class periods will consist of a variety of activities which will include lecture (usually by me, but you may get a turn before the year is gone), group problem solving and exploration of questions and concepts using selected software. Periodically we will have question and answer days (see course calendar for details). Your math/tech time will also provide ample opportunity for these ventures, along with allotted time to take your online quizzes. It is strongly advised (shall we say required) that you prepare for each class meeting by reading the material AND by working the problems for the next class meeting. It is solely your responsibility to prepare for class.
ABSENCES/TARDINESS:
If a student is absent (excused) for only one class meeting, then upon return, he/she is expected to have completed the work which was due on the day of absence. If a test was missed, then the student is expected to take the test on the day of return. If a student misses two or more consecutive class meetings, then he/she should talk to the instructor to devise a game plan to catch up. Absences for any other reason need to be discussed with the instructor in advance. Failure to do so will result in an unexcused absence. Work missed because of an unexcused absence cannot be made up. If a test is missed because of an unexcused absence, then that test grade will be lowered by 10 points for each day late. You are expected to be in class on time. You will be allowed one and only one tardy "on the house". After that you will pay 1/2 a point off your semester grade for any additional tardies!
HONOR CODE:
Students are required to pledge all work that they turn in for a grade. Refer to CVGS Student Handbook for complete requirements.
Typical Hours for Students Session I (7:30-10:10)Session II (8:25-11:05)
Period 1: 7:30-8:20 Period 2: 8:25-9:15
Period 2: 8:25-9:15 Period 3: 9:20-10:10
Period 3: 9:20-10:10 Period 4: 10:15-11:05 |
This online interactive lesson, created by Kyle Siegrist of the University of Alabama - Huntsville, on foundations provides examples, exercises, and applets which review the algebra of sets and functions, general...
In 1834, the Committee on Military Affairs at the United States Military Academy at West Point was unequivocal in their support for mathematics, noting that "Mathematics is the study which forms the foundation of the...
Presented by HippoCampus, a project of the Monterey Institute for Technology and Education, this free online course "is a study of the basic skills and concepts of elementary algebra, including language and operations...
A number of online textbooks have been created in the past several years, and this course in linear algebra is a nice addition to the existing repertoire of such educational materials. Professor Rob Beezer of the...
This learning community, created by Juan Morata and Miguel Montanez, integrates biology and algebra through joint group projects, joint case studies, and class examples and exercises. Through the integrated approach,... |
Elementary and Intermediate Algebra for College Students - 4th edition
Summary: Today's students are visual learners, and Angel/Runde offers a visual presentation to help them succeed in math. Visual examples and diagrams are used to explain concepts and procedures. New Understanding Algebra boxes and an innovative color coding system for variables and notation keep students focused. Short, clear sentences reinforce the presentation of each topic and help students overcome language barriers to learn math and Intermediate Algebra for College Students: |
Math
Mathematics Department
The Mathematics department uses two guides to set curriculum. The National Council of Teachers of Mathematics Standards and the Massachusetts Mathematics Frameworks are used extensively throughout. The need to understand and be able to use mathematics in everyday life and in the workplace has never been greater. With this in mind, we believe students should be learning important mathematical concepts and processes with understanding. Our focus on understanding comes from the connections of mathematics to the real world.
Throughout our curriculum we show these connections: Graphic designers routinely use geometry, carpenters often apply the principles of trigonometry, as do surveyors, navigators, and architects. Algebra is used throughout computing and business modeling, from everyday spreadsheets to sophisticated scheduling systems and financial planning. With these experiences we hope to prepare students to be able to adapt flexibly to the changing needs of the workplace |
,...
Show More, Spreadsheet Tools for Engineers Using Excel 2007 provides beginning engineering students with a strong foundation in problem solving using Excel as the modern day equivalent of the slide rule. As part of McGraw-Hill's BEST series for freshman engineering curricula, this text is particularly geared toward introductory students. The author provides plenty of background information on technical terms, and provides numerous examples illustrating both traditional and spreadsheet solutions for a variety of engineering problems. The first three chapters introduce the basics of problem solving and Excel fundamentals. Beyond that, the chapters are largely independent of one another. Topics covered include graphing data, unit conversions, data analysis, interpolation and curve fitting, solving equations, evaluating integrals, creating macros, and comparing economic alternatives.
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In Covering and Surrounding, you will explore areas and perimeters of figures. Attention is given especially to quadrilaterals and triangles. You will also explore surface area and volume of rectangular prisms.
The book takes an approach that will make students extend their work with linear relations and explore important non-linear relationships. The book has a collection of units that will guide the students throughoutGeometry is focused, organized, and easy to follow. The program shows your students how to read, write, and understand the unique language of mathematics, so that they are prepared for every type of problem-solving and assessment situationIf you had been one of the early explorers or settlers of North America, you would have found many things in your new environment unknown to you. The handiest way of filling voids in your vocabulary would have been to ask local Native Americans what words they used. The early colonists began borrowing words from friendly Native Americans almost from the moment of their first contact, and many of those shared words have remained in our everyday |
working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text. less |
RHIT - Department of Mathematics
Calculator/Computer use - general policy
Mathematics with and without calculators/computers: To be an effective
user of mathematics one must completely master the basic fundamental mathematics:
algebra, trigonometry, solving linear and quadratic equations, simple derivatives,
integrals, differential equations and systems of equations. The mastery is required
to develop mathematics intuition, understand concept development, and the solution
of simple problems as presented in a text or a classroom demonstration. On the
other hand, the computer and/or calculator greatly enhance visualization and
computation for more difficult and lengthy problems. Students need to develop
facility at both. Therefore, the following two aspects of mathematics courses
are considered to be part of the fundamental nature of the basic freshman and
sophomore courses at Rose-Hulman:
continuing development and demonstration of basic mathematical computation
and concepts in written form, i.e., paper and pencil only,
development of and demonstration of the ability to use the computer and/or
calculator for routine and advanced computation, visualization, advanced
modeling, and problem solving.
Each professor will implement these in somewhat different ways in their classes,
but students should expect that there will be assignments, quizzes, tests, and
exams in both formats. In particular there is a specific final exam policy in
place for the basic math sequence in which a combination of the formats are used
(see link below).
Calculator Policy
The mathematics department has no recommendation on a specific type of
calculator to use, nor does it offer any instruction on the use of a calculator.
It is expected that the student will have mastered the use of a calculator --typically a graphing caluclator --
in high school. When needed, a student should use a calculator that they
are comfortable with, for instance the type of calculator they used in high
school. Most students bring their high school calculator or some upgrade.
The professor of the course will determine when calculator use is permitted
or not following the principles outlined above. |
MSC main category:
86 Geophysics
MSC category:
86A10
Review:
This book gives a deep insight of the mathematics involved in the forecast of weather. Being addressed to the general public, with a very leisurely and friendly style, it starts by accounting the history and personalities involved in the developing of the scientific understanding of the weather processes over the Earth.
The author explains the equations that govern the weather, which include seven variables: velocity (of wind), time, pressure, moisture, and density of air. The mathematical bits are separated from the main text and are commented without much detail, not to deter the non-mathematical reader. All names of people involved and the contributions and lives of each of them appear along the way.
The equations are hard to analyze (which is the reason of the difficulty of forecasting), so until the appearance of efficient computers able to do these calculations, it was difficult to do reliable predictions. But the use of mathematics in weather dates back from the beginning of the twentieth century, with the pioneering work of Vilhelm Bjerknes, who analyzed the behaviour of the equations for the vorticity, which involve less number of variables. This together with the improvement of the recollection of empirical atmospheric data at locations, and the improvement of the transmission of data to a central point, allowed to depict the well-known meteorological charts that we are so familiarized to watch on the TV News. These have been used since the beginning of the XX century to predict qualitatively the weather for several days ahead. Nowadays, this is done by the use of computing power, by discretizing the set of differential equations involved and treating them numerically.
Large scale phenomena, like the effect of the rotation of the Earth in the circulation of great masses of air or the formation of cyclones, and more local phenomena, like the movement of clouds or the sea breeze, are treated in the book. The authors also explain the theory of chaos, which says that in non-linear problems, even small inaccuracies in initial data can lead to very large deviations in the evolution of the solution. This is inherent to the analysis of weather, making impossible to get accurate solutions for more than 10 days ahead even with the best of the actual supercomputers.
The second half of the XX century witnessed the raise of pure mathematical methods to analyze the equations of meteorology, together with the simultaneous appearance and use of computers. The study of hydrostatic and geostrophic phenomena gave a way to understand the qualitative behaviour of weather and make sense of the intractability of its non-linearity. On the other direction, there has been a feedback from the studies of meteorology to pure mathematical areas, like the Lorenz attractor appearing in Dynamical Systems.
This book explains the main results known about differentiability of Lipschitz functions $f:X\to Y$, where $X,Y$ are Banach spaces, as well as it presents, with full proofs, new, important results of the authors which were only announced in previous publications.
This is the second edition of the Birkhäuser edition of 1987 that has been given a full makeover. It is a collection of papers by different authors about the definitions and descriptions and how to become familiar with polyhedra by actually building them, about their history, their role in nature and art, but also about the mathematics that are involved.
URL for publisher, author, or book:
MSC main category:
51 Geometry
MSC category:
51M20
Other MSC categories:
90C57, 52B20, 68R10, 97K30, 00A99
Review:
As the editor quotes in her introduction "plus que ça change, plus c'est la même chose" since indeed polyhedra are as new as they are old and given the recent evolution in graphs, discrete and computational geometry, combinatorial optimization, computer graphics, a new edition of the previous version (Birkhäuser, 1987) became unavoidable and it resulted in a complete makeover. The format is still the same (the first edition grew out of a 1984 conference), it consists of a collection of essays by different authors about many different aspects related to polyhedra.
The papers are ordered in such a way that they start with elementary, less formal definitions an properties, and suggestions and practical tips about how to actually organize hands-on sessions where children are encouraged to construct the three-dimensional objects. But polyhedra are also followed along their historical and cultural trail from the pyramids in old Egypt and the Platonic solids, till recent developments.
In a second part, appearance and use of polyhedra in art and nature is the the central theme. They lived in the minds of the architects of the pyramids but they also appear in futuristic constructions of modern architecture. Because their graphs have some optimality and stability properties also nature's architect is eager to make use of these structures. Crystals, chemical bindings, cell biology quite often follow the geometrical laws of polyhedral constellations. And of course many artists made 2 of 3-dimensional artwork inspired by these forms.
In part 3, called "polyhedra in geometrical imagination", the contributions become more mathematical. Here we find more general polyhedra, and discussions about molecular stability, dual graphs, Dirichlet tessellations and spider webs, diophantine equations, rigidity, decomposition of solids, etc. The final contribution is a set of 10 geometrical problems that are still (partly) open problems still waiting for a solution.
Although there are 22 papers by many different authors, there is an extensive global index that helps you to find the items you are looking for. The readability of the papers is kept as smooth as possible by collecting notes, remarks and references in a section at the end of the book. Of course the style cannot be uniform since there is a difference between an historical survey, an exposition of how to glue pieces of cardboard together, and a mathematical paper with theorems. However, by the ordering of the papers, the reader grows gradually into the mathematics as he of she is reading on towards the end of the book.
The book is amply illustrated and aiming at a public from 9 till 99. It will be of interest to a very broad public. Form a mathematical side children might be interested in geometrical puzzles and advanced mathematicians may be interested in solving the open problems, and the whole range in between will probably find something interesting of their own taste. But of cause also the non-mathematician will be attracted by these fascinating building blocks in nature, art, science and engineering.
This book is focus on the geometric
realizations of curvature. The authors have organized
some of the results in the literature which fall into
this genre. The findings of numerous investigations
in this field are reviewed and presented
in a clear form, including the latest developments
and proofs.
MSC main category:
53 Differential geometry
MSC category:
53B20
Review:
A central area of study in Differential Geometry
is the examination of the relationship between
purely algebraic properties of the Riemannian
curvature tensor and the underlying geometric
properties of the manifold. The decomposition
of the appropriate space of tensors into irreducible
modules under the action of the appropriate structure
group is crucial. This book is focus on the geometric
realizations of curvature. The authors have organized
some of the results in the literature which fall into
this genre. The findings of numerous investigations
in this field are reviewed and presented
in a clear form, including the latest developments
and proofs.
We recall that, given a family of tensors
$\{T_1,\dots ,T_k\}$ on a vector space $V$,
the structure $\left( V,T_1,\dots ,T_k\right) $ is
said to be \emph{geometrically realizable} if there exist
a manifold $M$, a point $P$ of $M$, and an isomorphism
$\phi \colon V\rightarrow T_PM$ such that
$\phi ^{\ast }L_i(P)=T_i$ where $\{L_1,\dots ,L_k\}$
is a corresponding geometric family of tensor fields on $M$.
The book is organized as follows: In Chapter 1 the authors
introduce some notations and state the main results of the book.
They also discuss the basic curvature decomposition results
leading to various geometric realization results in a number
of geometric contexts. The details and proofs can be found
in the rest of the Chapters. Chapter 2 is devoted to
representation theory and in Chapter 3 some results
from differential geometry are presented. In Chapter 4 and 5
the authors work in the real affine and (para)-complex affine
setting respectively. In Chapter 6 and 7
they perform a similar analysis for real Riemannian geometry
and (para)-complex Riemanian geometry. The results in the
(para)-complex and in the complex settings are presented in
parallel. Finally the authors present a list of the main notational
conventions. Following the list a lengthy bibliography is included.
The book concludes with an index.
This is the eighth volume of the series "What's Happening in the Mathematical Sciences". The goal of this book, and of the whole series, is to give account for some recent progress in mathematics. The topics covered in the nine chapters of this book range from the high-dimensional topology to quantum chaos and include applications in computer science, medicine, financial markets, ...
URL for publisher, author, or book:
MSC main category:
00 General
MSC category:
00A06
Other MSC categories:
00B15
Review:
This is the eighth volume of the series "What's Happening in the Mathematical Sciences". The series, published by the American Mathematical Society, started in 1993 and its goal is to shed light on some of the outstanding recent progress in both pure and applied mathematics.
The book is divided into nine chapters which present some remarkable mathematical achievements.
The first chapter "Accounting for Taste" describes how Netflix, a movie rental company, offered a million-dollar prize for a computer algorithm to recommend videos to customers. The first year of competition identified matrix factorization as the best single approach. However to factor matrices with unknown elements the winner team had to devise their own strategy combining matrix factorization with regularization and gradient descent. After three years of competition the award was given to the team called BellKor's Pragmatic Chaos. This is an example of the use of mathematics behind the scenes in everyday life.
The second chapter "A Brave New Symplectic World" is devoted to the conjecture of Weinstein saying that certain kinds of dynamical systems with two degrees of freedom always have periodic solutions. The conjecture was proposed in the late 1970s as a problem in symplectic topology and solved thirty years later by Cliff Taubes. The remarkable thing is that Taube's solution does not stay within the original discipline and borrows some ideas from string theory, developed by physicist Edward Witten.
"Mathematics and the Financial Crisis" described the collapse of the world's financial markets in 2008. The Black-Scholes formula to estimate the value of call options is explained in detail. For some time this formula was almost perfect but a mathematical model is only as good as its assumptions.
"The Ultimate Billiard Shot" deals with the game of outer billiards proposed in 1959 by Bernhard Neumann. The outer billiard table is infinitely large and it has a hole in the center. The question is: Does the table need to be infinitely large? In other words, is there any way a ball that starts near the central region can spiral out to infinity? The answer depends on the shape of the hole. In 2007, Schwartz proved that for certain shapes, an outer billiards shot cannot be contained in any bounded region. The game of outer billiards may seem a bit restricted but is of interest to mathematicians as a toy model of planetary motion.
The fifth chapter, "Simpatient", deals with the controversial recommendation in 2009 by the U.S. Preventive Services Task Force that women aged 40-49 should no longer be advised to have an annual mammogram. A public health panel used six breast cancer model to take this decision. This is an example of the growing acceptance of mathematical models for medical decision-making, at least behind the scenes.
"Instant Randomness" addresses questions of the following type: How long does it take to mix milk in a coffee cup, neutrons in an atomic reactor, atoms in a gas, or electron spins in a magnet? In many systems the onset of randomness is quite sudden. This abrupt mixing behavior is the "cutoff phenomenon", and the time when it occurs is called the mixing time.
Quantum chaos is the topic of the seventh chapter "In Search of Quantum Chaos". In the 1970s and 1980s chaos theory revolutionized the study of classical dynamical systems. In the atomic and subatomic realm chaos seems to be absent. However, there is a gray zone, the semiclassical limit, between he quantum world and the macroscopic world. Mathematicians have recently confirmed the occurrence of quantum chaos in this zone.
Even in the twenty-first century mathematics reveal new phenomena in the ordinary three-dimensional space. This is the topic of the chapter "3-D Surprises". In 2008 and 2009, some new ways to pack tetrahedra extremely densely were discovered. In 2005, two engineers in Hungary discovered a new three-dimensional object similar to a tetrahedron but with curvy sides. It is the first homogeneous, self-righting (and self-wronging!) object.
Last chapter is "As One Heroic Age Ends, a New One Begins". In the 1950s John Milnor constructed 7-dimensional "exotic spheres" which are identical to normal spheres from the viewpoint of continuous topology, but different from the viewpoint of smooth topology. This was the starting point of a new era of high-dimensional topology. But one question, the Kervaire Invariant One problem was open for more than forty years. In 2009 three mathematicians, Mike Hill, Michael Hopkins and Doug Ravenel, answered this question. But this may be just the beginning of what topologists will learn from the new machinery used to solved this problem.
The book is well written and can be of interest to both mathematicians and general public with some background in mathematics. Many pictures and illustrative diagrams are included in the book. |
Math at Hand is a resource book. That means you're not expected to read it from cover to cover. Instead, you'll want to keep it handy for those times when you're not clear about a math topic and need a place to look up definitions, procedures, explanations, and rules.
This book addresses key science topics including: scientific investigation; working in the lab; life science; earth science; physical science; natural resources and the environment; science, technology, and society. An ideal resource in science class, during lab time, and at home, this book also includes a handy almanac with tables, charts and graphs, test-taking and researching skills, science timelines and glossaries, and more.
The SkillsBook provides you with opportunities to practice editing and proofreading skills presented in the Student Edition of Texas Write Source. That book contains guidelines, examples, and models to help you complete your work in the SkillsBook.
Each SkillsBook activity includes brief instruction on the topic and examples showing how to complete that activity. You will be directed to the page numbers in the Student Edition of Texas Write Source for additional information and examples |
Summary: The Rockswold/Krieger algebra series uses relevant applications and visualization to show students why math matters and gives them a conceptual understanding. It answers the common question ''When will I ever use this?'' It covers the traditional topics, but rather than present them as concepts to memorize, with applications tacked on at the end, it teaches students the math in context. By seamlessly integrating meaningful applications that include real data, along with visual...show mores graphs, tables, charts, colors, and diagrams students are able to see how math impacts their lives as they learn the concepts. This conceptual understanding makes them better prepared for future math courses and life Beginning and Intermediate Algebra with Applications and Visualization:
0321756517 -used book - book appears to be recovered - has some used book stickers - free tracking number with every order. book may have some writing or highlighting, or used book stickers on front ...show moreor back ...show less
$100.00 +$3.99 s/h
LikeNew
bookstore165 Fort Lee, NJ
Looseleaf book in excellent condition.
$113.06128171.24 +$3.99 s/h
New
Textbookcenter.com Columbia, MO
Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book
$191 |
Basic College Mathematics - 4th edition
Summary: Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Basic College Mathematics, Fourth Edition was written to help readers effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success10020 +$3.99 s/h
VeryGood
Follett School Solutions, Inc. Woodridge, IL
0321649400 No excessive markings and minimal highlighting. CD Roms, access cards/codes, and other supplemental materials may or may not be included based on availability.
$138.08 +$3.99 s/h
New
Campus_Bookstore Fayetteville, AR
New Annotated Instructor's Edition. Book has the same contents as the student edition, but includes answers. 4th Edition Ships same or next day. Expedited shipping takes 2-3 business days; standard sh...show moreipping takes 4-14 business days. ...show less153155.40 +$3.99 s/h
New
Textbookcenter.com Columbia, MO
Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book
$158.54 |
Algebra Survival Guide Workbook
9780965911375
ISBN:
0965911373
Publisher: Midpoint Trade Books Inc
Summary: Following on the success of the Algebra Survival Guide, the Algebra Survival Guide Workbook presents thousands of practice problems (and their answers) to help children master algebra. The problems are keyed to the pages of the Algebra Survival Guide, so that children can find detailed instructions and then work the sets. Each problem set focuses like a laser beam on a particular algebra skill, then offers ample prac...tice problems. Answers are conveniently displayed in the back. This book is for parents of schooled students, homeschooling parents and teachers. Parents of schooled children find that the problems give their children a "leg up" for mastering all skills presented in the classroom. Homeschoolers use the Workbook - in conjunction with the Guide - as a complete Algebra 1 curriculum. Teachers use the workbook's problem sets to help children sharpen specific skills - or they can use the reproducible pages as tests or quizzes on specific topics. Like the Algebra Survival Guide, the Workbook is adorned with beautiful art and sports a stylish, teen-friendly design.
Rappaport, Josh is the author of Algebra Survival Guide Workbook, published under ISBN 9780965911375 and 0965911373. Five hundred sixty two Algebra Survival Guide Workbook textbooks are available for sale on ValoreBooks.com, one hundred thirty six used from the cheapest price of $1.48, or buy new starting at $8 |
College Algebra
Sheldon Axler brings a brand new approach to the study of advanced algebra. While many students will bypass the book and go straight for the solutions manual, this text integrates the two in order to engage students in the text itself. The integration of solution manual into the text allows the text to focus more centrally on explanations of the material and examples of the concepts. With explanations and examples all written by the author, there is a seamless integration between the two.
In order to facilitate conceptual understanding, some exercises and problems intentionally reinforce material from earlier in the book and require multiple steps. Although such multi-step exercises require more thought than most exercises, they allow students to see crucial concepts more than once, sometimes in unexpected contexts.
Depth, Not Breadth: Topics have been carefully selected to get at the heart of algebraic weakness by narrowing down to key sets of skills which are regularly revisited from varied perspectives.
Exercises and Problems: The difference between an exercise and a problem is that each exercise has a unique correct answer that is a mathematical object such as a number or a function, while the solutions to problems consist of explanations or examples. The solutions to the odd-numbered exercises appear directly behind the relevant section.
Variety: Exercises and problems in this book vary greatly in difficulty and purpose. Some exercises and problems are designed to hone algebraic manipulation skills; other exercises and problems are designed to push students to genuine understanding. Applications are written to reflect real scenarios, not artificial examples.
Integrated Student's Solutions Manual: The solutions manual encourages students to read the main text and students will save money by not having to purchase a separate solutions manual.
Designed To Be Read: The writing style and layout are meant to induce students to read and understand the material. Explanations are more plentiful than typically found in College Algebra books, with examples of concepts making the ideas concrete whenever possible.
Calculator Problems: A symbol appears next to problems that require a calculator; some exercises and problems are designed to make students realize that by understanding the material, they can overcome the limitations of calculators. |
Chapter Zero Fundamental Notions of Abstract Mathematics
9780201826531
ISBN:
0201826534
Publisher: Addison-Wesley Longman, Incorporated
Summary: This book is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which readers construct their own understanding. However, while readers are called upon to write their own proofs, they are also encouraged to work in groups. There are few finished proofs contained in the text, but the author offers "proof sketches..." and helpful technique tips to help readers as they develop their proof writing skills. This book is most successful in a small, seminar style class. Logic, Sets, Induction, Relations, Functions, Elementary Number Theory, Cardinality, The Real Numbers For all readers interested in abstract mathematics.
Schumacher, Carol is the author of Chapter Zero Fundamental Notions of Abstract Mathematics, published under ISBN 9780201826531 and 0201826534. Seventeen Chapter Zero Fundamental Notions of Abstract Mathematics textbooks are available for sale on ValoreBooks.com, twelve used from the cheapest price of $58.72, or buy new starting at $79.74.[read more] |
Product Description
A precursor to more abstract mathematics, pre-algebra is an important terminal course for beginning math students. This book will dramatically help students comprehend basic topics such as factoring a number or adding two fractions. In turn, they will be better equipped to understand more complicated abstract variables. Arranged in a systematic way, this book can also be used in any order that best fits an individual student's needs. Section reviews and "Final Review: All Topics," can be used as pretests, and "Absorb" and "Apply" sections add to the excellence of this teacher's tool. |
This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach... more...
Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory... more...
Leyton's Process Grammar has been applied by scientists and engineers in many disciplines including medical diagnosis, geology, computer-aided design, meteorology, biological anatomy, neuroscience, chemical engineering, etc. This book demonstrates the following: The Process Grammar invents several entirely new concepts in biological morphology... more...
Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a 'realistic' place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led... more... |
Functions puzzle software: A Grid Based Puzzle Game, Play online puzzle games at 9puz.com, Solve Best Steam Mop Solid Puzzle to win and more.
Math Function Mania is a fun multimedia game for grades 7-12 that teaches functions, algebra and problem solving skills. You must first detect which function is being used, and then solve it by clicking on the correct answer. Includes a head-to-head combat option for two-player competition. This game will take some of the mystery out of functions.
Love Sudoku but tired of looking at numbers? Iconic Sudoku allows you to play Sudoku with icons as well as numbers. The program includes help functions that will provide a hint, solve the puzzle, show the unused values in any row, column or box. What?s more, you can have Iconic Sudoku FREE for trying CAVU Software?s Windows utilities. You can install/uninstall any or all of the products for a 10 day trial but KEEP THE ICONIC SUDOKU FREE!!!
Displays graphs of algebraic functions in a variety of forms. These include polar and cartesian co-ordinates, parametric and implicit functions. A wide range of functions are built-in, from simple trig and hyperbolic functions to things such as the ceil and gamma functions. On-screen HTML help is bulit-in.
TTCalc is a mathematical calculator. It has a nice user interface, trigonometric functions, inverse trigonometric functions, hyperbolic functions, logical operators, logarithms, functions for converting between degrees and radians and so on. Additionally the program allows the user to define his own variables and functions. Calculations are performed by using big floating point numbers. |
San Quentin Algebra 2 concepts build on each other so that future topics depend on understanding previous material. Therefore, misunderstanding one topic can cause continuous problems down the road. If this is left unaddressed, knowledge gaps compound over time and the student gets further behind |
math maturity
One of things I noticed when I self study is when I go check my answers against the solutions, some of my answers seem to be way off. For example there was a question that went "show that for any nxn non singular matrix it is row equivalent." I happened to show a proof by induction but in the solutions it just drew a arbirtrary nxn matrix with 1's running down the diagonal( these entries are obviously the pivot positions). I'm not sure if this normal or not?Will I just get better by practicing and struggling? But I fear I won't be able to get any better than I am now. The way I approach each section of a book is I first read very carefully and reread a few times before I feel I have a good understanding. Then I go to the problems and try to do all of them on my own. About 3/4 of them I can do and end up with the correct answer. Of course I recheck my solution. Then I check my solutions against the solution manual but at times like I said earlier my answers are way off than what is written in the solutions. This happens mostly on problems that say "show this...". I try my best to go back and fix my answer but I just end up leaving it since I feel its not worth it since I already know the solution. I'm trying hard to make sure that I can get up to the point where I can answer all the problems correctly but it seems quite hard.
There are often several ways to prove the same math result. The fact that your proof is completely different from the book doesn't necessarily mean you are wrong.
If you want advice on whether your proof is correct, or help understanding a proof in the book, the math forums here are a good place to ask!
bonfire09
#3
Jan15-13, 09:38 PM
P: 219Robert1986
#4
Jan16-13, 04:00 AM
P: 828
math maturity
Quote by bonfire09I think you need to keep in mind that you are just an undergraduate student taking (I'm guessing) linear algebra. That is, you are still pretty young math-wise. The solutions are probably written by a graduate student or the author of the text book. It is only natural that the solutions in the manual will be much more elegant (though that might not always be the case) than yours, and like AlephZero said, there are many ways to prove something.
And the same thing goes for the computational problems.
bonfire09
#5
Jan16-13, 11:25 AM
P: 219
Oh ok thanks. Now I'm encouraged to go on and struggle it out.
3.141592
#6
Jan16-13, 02:31 PM
P: 66
Quote by bonfire09
And once I know the solution I feel its useless going back since I already know the answer.
When I was learning logic, I was always given the premises and the conclusion. The problem was to show what steps would lead from the premises to the conclusion, having at the end discarded any assumptions brought in along the way for help. That always made me laugh a bit when I'd get stuck (a lot) - I have all the data and am even given the solution; all I have to do is build the bridge and yet here I am stuck!
So if you turn to the solution and yours is wrong, I encourage you to retry your attempt. Often I find that seeing the solution makes me go, 'Oh ok!' and recognise where I went wrong. But if not, think of it this way: you now have one extra piece of data for making your solution. You still need to build the bridge from the data in the question to the solution provided. Plus, you can now work backwards from the solution to the question and maybe meet somewhere in the middle!
Your confidence will grow when you go back and spot where you went wrong, I think. It is very disheartening to see you have got it wrong but not see why.
homeomorphic
#7
Jan16-13, 04:13 PM
P: 1,022
And if I don't check my answers then ill never know if I did it correct or not.
You have to try to move beyond that. You can never be 100% sure you are right about anything, but you should get to a point where you can determine for yourself whether your answer is correct, ignoring the occasional oversights, which can usually be eliminated by double-checking repeatedly. In theory, you can reduce everything down to the basic logical deduction, modus ponens, p and p implies q, therefore q, which isn't really that complicated of a thing to check. It's always the same form, but you have all kinds of specific p's and q's. In practice, we don't do things that formally, but still...
bonfire09
#8
Jan16-13, 04:31 PM
P: 219Jorriss
#9
Jan19-13, 10:24 PM
P: 1,025
Quote by homeomorphic
In practice, we don't do things that formally, but still...
When I get stuck on a problem, I do do that. I make sure every single step is justifiable entirely and then I know my final result is correct. It may be utterly unworkable and a useless result, but correct.
3.141592
#10
Jan20-13, 09:05 AM
P: 66
Quote by bonfire09I'm studying by distance learning so only have access to a tutor to mark my assignments and by email. It's pretty annoying. So I share your pain. Plus, learning on your own usually makes you feel either you're a genius or a moron. In both cases you'll be wrong.
When you get a solution wrong, try it with another easier method. When you get it right, try it with another harder method.
A simple example: when converting units in a calculation let's say involving division, it is easy to cancel just by drawing a line through whatever like terms are written above and below the division line. It's a tiny bit harder to move units above or below the division line, and adjust the + or - sign of the exponents accordingly, and then add or subtract powers. Mostly because you have to do a tiny bit more thinking and there is more chance for arithmetical errors.
But if you get it wrong, try it the easier way and see if you get it right. That might open up the door to where you went wrong the first time. And if you get it right, trying it the harder way might reveal some mechanism that was hidden with the easier method, or just generally help you get a different POV on the problem. |
Book Description: Now with a full-color design, the new Fourth Edition of Zill's Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. New modern applications and engaging projects makes Zill's classic text a must-have text and resource for Engineering Math students |
We all know that mathematics has a broad range of application from astrophysics to quantum mechanics, from engineering to medicine. Therefore, learning math is a very important step in all aspects of life, and helping individuals to be successful in life. Meanwhile, sometimes it is not easy and one may need some help to boost their potential and get motivated to learn. |
Find a InglesideFinite math is an introductory course in discrete math. A typical finite math course is a survey course consisting of: linear functions, matrices, linear inequalities, linear programming, the Simplex Method, counting (combinatorics), and probability. I have taught finite math within the university and community college setting for the past nine years |
Calculus Latin, calculus, a small stone used for counting is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient.
In American mathematics education, precalculus or Algebra 3 in some areas, an advanced form of secondary school algebra, is a foundational mathematical discipline. It is also called Introduction to Analysis. In many schools, precalculus is actually two separate courses: Algebra and Trigonometry. Precalculus prepares students for calculus the same way as pre algebra prepares students for Algebra I. While pre algebra teaches students many different fundamental algebra topics, precalculus does not involve calculus, but explores topics that will be applied in calculus. Some precalculus courses might differ with others in terms of content. For example, an honors level course might spend more time on topics such as conic sections, vectors, and other topics needed for calculus. A lower level class might focus on topics used in a wider selection of higher mathematical areas, such as matrices which are used in business.
KEY BENEFIT: Thomas' Calculus Early Transcendentals Media Upgrade, Eleventh Edition, responds to the needs of today's readers by developing their conceptual understanding while strengthening their skills in algebra and trigonometry,two areas of knowledge vital to the mastery of calculus. This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text.
University Calculus, Early Transcendentals, Second Edition helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and the best in technology for learning and teaching....Anton, Bivens & Davis latest issue of Calculus Early Transcendentals Single Variable continues to build upon previous editions to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds.
The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read style and real-world examples.
The Seventh Edition of this highly dependable book retains its best features–it keeps the accuracy, mathematical precision, and rigor appropriate that it is known for. This book contains an entire six chapters on early transcendental calculus and a chapter on differential equations and their applications. For professionals who want to brush up on their calculus skills.
This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? |
Subject: Mathematics (9 - 12) Title: Now, where did THAT come from? Deriving the Quadratic Formula Description:
Generally, teachers expect students to memorize the quadratic formula and to know that you use it after exhausting all other means of solving a quadratic equation, i.e. as a last resort. This technology-based lesson is designed to assist students with deriving the formula on their own. Students must first be familiar with complex numbers and the process of "completing the square."
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project. Subject Subject: Character Education (K - 12), or Mathematics (9 - 12) Title: Systems on a Mission Description: Students will solve systems of equations using 4 different methods. These methods include substitution, elimination by multiplication, elimination by addition or subtraction and graphing. Students will gain knowledge on how to use one method to solve a system of equations and another method to check their solution. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Thinkfinity Lesson Plans
Subject: Mathematics Title: There Has to Be a System for This Sweet ProblemAdd Bookmark Description: In this Illuminations lesson, students use problem-solving skills to find the solution to a multi-variable problem that is solved by manipulating linear equations. The problem has one solution, but there are multiple variations in how to reach that solution. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12 |
Elementary Algebra for College Students (8th Edition)
9780321620934
ISBN:
0321620933
Edition: 8 Pub Date: 2010 Publisher: Prentice Hall
Summary: Angel, Allen R. is the author of Elementary Algebra for College Students (8th Edition), published 2010 under ISBN 9780321620934 and 0321620933. Seven hundred seventy Elementary Algebra for College Students (8th Edition) textbooks are available for sale on ValoreBooks.com, two hundred six used from the cheapest price of $31.05, or buy new starting at $79.25[ shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
the class that required me to use this book was math 101 at Rockland community college. the class was very effective especially with the professor who taught us each topic. it was a very cooperative class.
there is nothing i would change about this book. it offered problems to do and even showed exactly how to do them with examples provided. |
9780201726343
ISBN:
0201726343
Edition: 5 Pub Date: 2003 Publisher: Pearson
Summary: This text is organised into 4 main parts - discrete mathematics, graph theory, modern algebra and combinatorics (flexible modular structuring). It includes a large variety of elementary problems allowing students to establish skills as they practice.
Ralph P. Grimaldi is the author of Discrete and Combinatorial Mathematics: An Applied Introduction, Fifth Edition, published 2003 under ISBN 9780201726343 and 0...201726343. Six hundred ninety seven Discrete and Combinatorial Mathematics: An Applied Introduction, Fifth Edition textbooks are available for sale on ValoreBooks.com, one hundred thirty used from the cheapest price of $61.00, or buy new starting at $166.67.[read more] |
Precalculus – Course Syllabus
Mathematics Department
Bullitt East High School
Mrs. Kristy Tinelli
BEHS 869-6400 Room 333
Email: kristy.Tinelli@bullitt.kyschools.us
Website:
Text: Larson Hostetler Precalculus
*** Replacement cost of textbook is $50
Prerequisite: Successful completion of Algebra II
Course Description: This course is intended for students who plan to take AP Calculus in high
school or a Calculus course in college. It includes the following topics: functions and their inverses,
graphs and their applications including polynomial, rational, exponential, logarithmic, circular,
trigonometric, absolute value and natural number. Additional topics include analytic geometry, polar
and 3-dimensional graphing, complex numbers and mathematical induction.
Course Goal: Precalculus is designed to provide a firm foundation in algebra which is necessary for
success in college-level mathematics. This course provides an opportunity for students to utilize real-
life data and situations, solve problems using algebraic and graphing models, and enhance
understanding of mathematical concepts.
Course Content
Functions and Their Graphs Systems of Equations/Inequalities
Polynomial Functions Matrices/Determinants
Exponential/Logarithmic Functions Sequences and Probability
Trigonometry Analytical Geometry
Criteria included for evaluation and determination of grade: Using BEHS grading scale
Nine weeks grade = number of points earned
number of possible points
Semester grade = 90% Average of 2 nine weeks grades, 10% Final
Possible points are generally made up of the following:
Daily assignments = 10 – 20
Quizzes = 50 – 100
Tests = 100 – 200
Math Journal = 150
Open response questions = TBD
Projects/Activities = TBD
Midterm/Final = 300
Rules of Class:
Be respectful of all class and staff members.
Attend class and be on time. Tardies will be handled according to the school-wide tardy
policy.
Be prepared and ready to learn when the bell rings.
Follow directions and school rules – no eating/drinking in the classroom, bottled water is
allowed.
Have homework prepared in pencil with ALL work shown for credit.
Listen, take notes, ask questions, and work cooperatively is assigned groups.
When absent, assume responsibility to complete missed assignments.
Make up tests, quizzes and assignments according to policy.
Materials Needed for Class:
1. A graphing calculator TI-83/84+ is strongly recommended
2. Large spiral notebook (college ruled) or 3-ring binder
3. Composition notebook (Math Journal)
4. Opitional donations: paper towels, Kleenex, hand sanitizer
The faculty and administration reserve the right to change the class syllabus as deemed necessary.
Requirements shall be modified to accommodate students who qualify for specially designed instruction.
Please review the syllabus, sign and return no later than Friday, August 13, 2010.
I have read and understand the requirements for the Precalculus course.
Student Name ________________________________ Block _____
Student Signature __________________________________________ Date _______________
Parent/Guardian Signature ___________________________________ |
Introduction to Graph Theory (2nd Edition)
Book Description: This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer |
Applied Combinatorics - 2nd edition
Summary: For courses in undergraduate Combinatorics for juniors or seniors.
This carefully crafted text emphasizes applications and problem solving. It is divided into 4 parts. Part I introduces basic tools of combinatorics, Part II discusses advanced tools, Part III covers the existence problem, and Part IV deals with combinatorial optimization2078 +$3.99 s/h
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In every math class offered here at WPI, there always seems to be one common excuse for failing the midterm or NRing the course. This excuse usually goes something like "If I understood WHY this stuff works, then I would have understood everything!" Well, now there is a Calculus class whose goal is to teach not simply various computational methods, but rather to teach the underlying theory behind them as well. Calculus 143X is a new experimental mathematics course offered by the Mathematical Science department that combines the traditional MA1023 Calculus III curriculum with a theoretical approach to learning new topics such as sequences, limits and parametric curves. Essentially, the purpose of this class is to understand the mathematical roots of certain mathematical properties that are frequently used. The course's syllabus states: "Whenever possible we will prove statements, or at least we will try to understand where they are coming from." This lends itself to the overall purpose of the class: to provide those students who excel in math the opportunity to look at fundamental aspects of calculus through a new lens. The course is currently in its first year, and its students receive the same amount of credit for taking MA143x as the traditional MA1023. "It's at the Calculus III level, but the course is taught with the idea in mind that we want to reach out to students who are more interested in theory rather than computational drills," says Professor Darko Volkov who is the only professor currently teaching the course. He goes on to say that "Some students just need to be intellectually stimulated. If you are a very good student to start with and then you are given homework problems that are too easy for you, too repetitive… you may lose interest." Samantha Foote '16 describes Professor Volkov's approach to the class as "systematic." She continues on to say that "There is one topic explained, an example given for all varieties within the topic, then we move on to another topic." While Foote admits that the class is challenging, she reveals that she would not change her decision to take the class if given the opportunity. "There are plenty of people in there that are willing to help, [and] the professor strongly encourages attending his office hours," she says. One notable absence from this course's curriculum that is included in the curriculum of other Calculus courses is a lab section that covers the use of the Calculus software MAPLE. In traditional Calculus courses, this lab period is used to teach students how to use MAPLE and how to use it to solve problems in new ways. When asked why he chose to omit MAPLE labs from the curriculum, Professor Volkov argued that "While some students love MAPLE labs, others have reported that MAPLE is easy enough to learn on their own, thanks to the built-in help feature." He did mention, however, that he plans to briefly introduce the popular software to the class so they can gain a general understanding of the program. While this course is still considered an experimental course (denoted by the "x" in the course title), there is a hope held by many within the Math department that this course will become a permanent addition to the course catalog. Professor Volkov explains that in order for the course to be officially added, it must be approved by those within the Math department as well as the Dean of Undergraduate Studies. For those students who yearn to understand the theory behind the common math principles used every day, MA143X and its accompanying Calculus IV class MA144X are definitely a viable option. While both classes for the 2012-2013 school year are full, Professor Volkov hopes to add more sections next year if there is enough interest shown over the summer. He adds, "I really enjoy teaching this course, and I hope that the course will be successful for students too." |
- Result History. - Unit conversion. - 10 memories customizable and fast access memory. - Large database of math and physical constants, arranged in groups. - You can add new constants (adding the name, value, symbol ...) and edit existing ones. - Customization of keypad for quick access to the most used constants▪ An application that can be used as a Scientific Calculator and also as a Standard and Simple Calculator ▪ A fully featured Scientific Calculator with a lot of Functions, Math & Physics Constants, Complex Numbers, Auto-Correction Features and a complete set of Unit Conversions ▪ INTUITIVE and very EASY TO USE, even in Scientific Mode ▪ A must have for highschool, university and at work !!
❶ STANDARD and SCIENTIFIC modes This calculator has two modes of operations with an ergonomic design: ▪ STANDARD: Vertical orientation ▪ SCIENTIFIC: Horizontal orientation To change from Standard to Scientific and from Scientific to Standard you just need to rotate your screen.
This is a scientific calculator for mathematics fans with widely used mathematical functions like square, square root, cube, cube root, sin, cos, tan,sinh, cosh, tanh, ncr, npr, permutation and more. This is an advertisement free application with a low price. Please report any improvements required in future releases to realmaxsoft@gmail.com
Kal Pro allows you to create and store all desired formulas, contains no advertising, plus enjoy a better experience because it contains more space for the keyboard conversionBasics: -Enter values and view results as you would write them -Swipe up, down, left, or right to quickly switch between keyboard pages. -Long click on keyboard key to bring up dialog about key. -Undo and Redo keys to easily fix mistakes. -Cut, Copy, and Paste. -User defined functions with f, g, h
Graphing: -Graph three equations at once. -View equations on graph or in table format. -Normal functions such as y=x^2 -Inverse functions such as x=y^2 -Circles such as y^2+x^2=1 -Ellipses, Hyperbola, Conic Sections. -Inequalities -Logarithmic scaling -Add markers to graph to view value at given point. -View delta and distance readings between markers on graph. -View roots and intercepts of traces on graph.
Q. Is there are tutorial anywhere explaining how to use the graphing calculator? A. There are three into tutorials in the app for the calculator, graph equations, and graph screens. Additional tutorials can be found on our website
Q. How do I get to the keys for pi, e, solve, etc? A. There are four keyboard pages. Each swipe direction across the keyboard moves you to a different page. The default page is the swipe down page. To get to the page with trig functions, swipe left. To get to the matrix keys, swipe up. To get to the last page, swipe right. No matter what page you are on, the swipe direction to move to a specific page is always the same.
Q. What do you have planned for future releases? A. You can keep up to date on the latest news on our blog at . This news will include what is coming up in future releases. Also feel free to leave comments and let me know what you think! requires |
More About
This Textbook
Overview
Clearly written and comprehensive, the ninth edition of Gustafson and Frisk's popular book provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanation to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life.
Related Subjects
Meet the Author
R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes, College Algebra, Gustafson/Karr/Massey's Beginning Algebra, Intermediate Algebra, Beginning and Intermediate Algebra: A Combined Approach, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.
Peter D. Frisk, Professor Emeritus of Mathematics at Rock Valley College, earned both a Bachelor of Arts and a Master of Arts in mathematics from University of Illinois. He is the coauthor of several best-selling math texts including BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, ALGEBRA FOR COLLEGE STUDENTS, and COLLEGE ALGEBRA. He has been the recipient of the Rock Valley Teacher of the Year |
ometry GRE Preparation Guide
The Geometry Guide illustrates every geometric principle, formula, and problem type tested on the GRE to help you understand and master the ...Show synopsisThe Geometry Guide illustrates every geometric principle, formula, and problem type tested on the GRE to help you understand and master the intricacies of shapes, planes, lines, angles, and objects. Each chapter builds comprehensive content understanding by providing rules, strategies and in-depth examples of how the GRE tests a given topic and how you can respond accurately and quickly. The Guide contains 170+ questions: "Check Your Skills" questions in the chapters that test your understanding as you go and "In-Action" problems of increasing difficulty, all with detailed answer explanations. Purchase of this book includes one year of access to 6 of Manhattan GRE's online practice exams |
Mathematics
All first-year students enrolled in a science program at Western gain a basic understanding of the backbone of science through at least one course in mathematics. Mathematics involves the creation and study of abstract structures which appear in all forms of scientific inquiry. |
Product Description
The Basic Math DVD Series helps students build confidence in their mathematical knowledge, skills, and ability.
In this episode, students will learn to combine arithmetic and geometry for success in algebra. The coordinate plane is introduced using the example of latitude and longitude, and the identification of points as ordered pairs is examined. Equations of the type y = ax + b are associated with lines, and the significance of the signs of "a" and "b" is discovered. Students will also learn to plot the point associated with an ordered pair and to plot points and draw lines that graph the equation y = ax + b |
Prerequisite: MAT 076 (min grade C) or 1 year high school geometry (min grade C), and MAT 080 (min grade C) or 2 years of high school algebra (min grade C) or appropriate Placement score or ACT score of 21-22
IAI#: M1904
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MAT121 College Algebra
Prerequisite: MAT 076 (min grade C) or 1 year of high school geometry (min grade C) and MAT 080 (min grade C) or 2 years of high school algebra (min grade C) or appropriate Placement or ACT score of 21-22
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MAT122 Trigonometry
Prerequisite: MAT 121 (min grade C) or appropriate Placement score or 4 years of college preparatory high school mathematics (min grade C) and apprpriate placement score or ACT score of 23-25
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MAT150 Computer Prog Math & Engineer
Prerequisite: MAT 203 (min grade C)
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MAT203 Calculus & Analytic Geometry I
Prerequisite: MAT 122 (min grade C) or appropriate Placement score or 4 years of college preparatory high school mathematics (min grade C) and appropriate Placement score or ACT score of 23-25 |
Summary: Master the fundamentals of mathematical economics with Schaum's - the high-performance study guide! It will helpyou cut study time, hone- problem-solving skills and achieve your personal best on exams. Students love Schaum's Outline because they produce results. Each year hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. If you don't have a lot of time but want to excel in class, this book helps ...show moreyou: *Use detailed examples to solve problems *Brush up before tests *Find answers fast *Study quickly and more effectively *Get the big picture without spending hours poring over lengthy textbooks Schaum's Outlines give you the information your teachers expect you to know in ahandy and succinct format - without overwhelming you with unnecessary jargon. you get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's let you study at your own pace and remind you of all the important facts you need to remember - fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside, you will find: *Full coverage of Mathematical Economics, from derivatives to phase diagrams *Simplified expanations of indefinite and definite integral calculus *710 solved problems in mathematical economics, including step-by-step annotations *Examples and worked problems that help you master mathematical economics If you want top grades and a thorough understanding of mathematical economics, this powerful study tool is the best tutor you can have! ...show less
Review. Economic Applications of Graphs and Equations. The Derivative and the Rules of Differentiation. Uses of the Derivative in Mathematics and Economics. Calculus of Multivariable Functions. Caculus of Multivariable Functions in Economics. Exponential and Logarithmic Functions in Economics. Differentiation of Exponential and Logarithmic Functions. The Fundamentals of Linear (or Matrix) Algebra. Matrix Inversion. Special Determinants and Matrices and Their Use in Economics. Comparative Statics and Concave Programming. IUntegral Calculus: The Indefinite Integral. Integral Calculus: The Definite Integral. First-Order Differential Equations. First Order Difference Equations. Second-Order Differential Equations and Difference Equations. Simultaneous Differential and Difference Equations. The Calculus of Variations. Optimal Control Theory56 +$3.99 s/h
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Subject: Mathematics (9 - 12) Title: As if numbers weren't complex enough already! Description: After years of being told that they couldn't take the square root of a negative number, you introduced your students to imaginary numbers. And, now, you have the nerve to expect them to go eagerly into the world of complex numbers? This lesson will introduce students to performing operations with complex numbers.
Note: This lesson is deisgned to be completed as a computer lab activity utilizing both small and whole group instruction.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project. Subject: Mathematics (9 - 12), or Technology Education (9 - 12) Title: Who am I? Find A Polynomial From Its Roots Description: Students analyze the roots and end behavior of a polynomials and write the equation of a polynomial under given conditions. Students apply theorems concerning the multiplicity of roots, conjugates of irrational or complex imaginary roots to find a polynomial under given conditions. Students will factor polynomials to find the complex roots. Students graph polynomials and determine the local extrema. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation. |
I think you might be approaching it the wrong way. At least in my experience, I've found there's not really a linear path to learning things. I've gone through various stages of my own where I thought, "I'm going to go back and re-read every physics/math book starting in the beginning and then everything will make sense!" It's never worked that way (at least for me.) The way we teach high school gives the false impression that there is a set specific order of classes that has to be followed. It was only after the fact that I learned my high school taught biology first, chemistry second, and physics third because somebody decided to do it in alphabetical order.
As far as practical advice goes, here's what I do when I want to learn something I'm unfamiliar with: Pick one thing you want to learn about today. Head to the library and go to the math/science section. (Don't spend a whole lot of money on text books unless you know they fit your learning style.) Grab about ten books on the subject and find yourself a quiet spot (preferably near a computer so you can look up any words that are unfamiliar.) You're not going to read all ten books (that wouldn't be an inefficient use of time.) Just pick the one that has the writing style you connect with the most. Make sure it has problems and answers. Read a little bit, then spend your time doing problems. Do as many as you can, and when you get stuck, read a little bit more. For the problems you get really stuck on, it's good to have an actual person to help you out. Make a note of which problems you couldn't solve, and try to have a friend that's good in math walk you through these. You can make him/her dinner as a thank you.
Above all else (and I can't stress this enough) try not to get too flustered. This stuff is hard, and it's easy to get frustrated. Try to play with the math and find examples of how it relates to things you care about. Try to come up with your own examples. (When I was learning about variational calculus, I was completely lost until I realized it's the same problem I was doing when choosing a route to class that would maximize my probability of seeing this girl I had a secret crush on.)
Finally, it takes a long time to learn, so don't put a deadline on it. Just do a little bit each day and you'll catch up. Learning is not something you do to a certain point and then say, "Yup, I'm done...that's all there is."
Disclaimer: I'm a statistical physicist not a cosmologist, so any gravity answers I give might be complete hooey.
Classically, we think of the centrifugal force as a fictitious force since you could describe the same effect using Newton's first law without any forces. That said, general relativity is a theory which states that gravity itself is a certain kind of fictitious force. It turns out gravity is more accurately described as motion in a curving 4D space time. I suppose it's possible to rewrite it in terms of centrifugal force, (I had a student earlier this semester who tried to convince me of exactly this), but I'd need to see more proof before I went along. To do so, you'd need to answer these questions. Why would gravity point in the opposite direction of centrifugal force? Why does it work even when masses aren't spinning? Most importantly, can you calculate a prediction with this model that doesn't show up in other models? If the theory can't do this, then you're doing what some physicists call "MATHturbating", (i.e. using math to make yourself feel good, but not really doing anything useful that might make the rest of the physics community feel good.)
You have 20,000 viewers in a car of mass ~2000 kg driving at 100 km/hr. That's an angular momentum change of about 7x1015 kg m2/s. Earth has an angular momentum of 1034 kg m2/s, or roughly 1019 times bigger. This would change the length of a day by about 0.00000000000000001%.
Michael Phelps swims about 2 m/s. If the water is falling slower than this rate at the bottom, I'm guessing he coud swim up it (though there's likely be some physics I'm neglecting here.) You could use g h = 0.5 v2 to find g = 0.1 m/s2.
I'm gonna assume we're just talking kinetic energy and not the energy it requires to create the hair. Let's say your hair is about inch long everywhere and 50 microns thick. If each har is separated by 1 mm, you'd have a total hair mass of 100 grams. Travelling at a speed of 1 cm every 2 weeks, the total kinetic energy lost would be 3x10-18 Joules. This is not a significant figure.
According to one source, the wars have costed about $4 trillion. I'm not an expert on cocaine cost, but a quick web search gives $70 per gram. At this cost, you could buy 57 million kilograms. At 1.2 g/cm3, it could cover the National Mall
with about 8 centimeters of blow.
Cool! This is interesting and particularly relevant to me. Having cracked more than my fair share of teeth, I've been wonder if cracked teeth could be melted back together in the same way that ceramics can. Unfortunately, I'm not an experimentalist, so I'm probably not the best on to ask about how to measure things. My best guess would be to use an extracted tooth and set up a temperature gradient by heating one side.
Using the source below, the volume of the Grand Canyon is about 4x1012 m3. A quarter is about 0.2 mL in volume. It would take about 2x1019 quarters to fill the Grand Canyon. That's about 100,000 times the national det.
Oh man. I'm so sorry. No one should be forced into the hell that is listening to that song every day.
Let's say you do 5 events per week on average. That's about 250 gigs per year and about 15,000 over the course of a lifetime. "I Gotta Feeling" is about 4.5 minutes long. If you played it once per event, you'd have listened to about 47 days of it.
I'm assuming you're interested in how well you can slice things (or possibly people.) If so, I agree with OwlPenn that you may be more interested in pressure, which is force per unit area. Still, you asked for force, so I'll try to calculate that.
Let's say you swing at a tree and the blade gets embedded 3 inches inside the trunk. If your blade is travelling at 100 mph (this is a little bit faster than a baseball bat) then the average stopping force on the blade is roughly 150 Newtons.
I'm guessing te average person watches TV about 2 hours per day. There are about roughly 10 30-second car commercials per hour. Over the course of a lifetime, this would be about 200 days of car commercials.
This is a packing problem. There's a lot of research devoted to it, though it's not aimed at chips per se.
If you smash the chips in the bag before opening, they'll fall to the bottom. If you did this until they were dust, I'm betting it'd be around the bottom 10 percent of the back. As a rough guess for the dimensions of the bag, I'd say 10 cm by 5 cm by 20 cm = 1000 cm3. This means you get an extra 900 cm3 of air with every bag of chips you buy.
"Flux" is a general term meaning the amount of something passing through some area. I could talk about the flux of baseballs through a strike zone or the flux of Kool-Aid guys through a wall. Magnetic flux is just the amount of magnetic field that passes through some area.
Solving crossword puzzles isn't very significant calorically, so you're basically expending energy at your normal resting rate of about 100 W. In contrast, a person exercising vigorously can burn energy at a rate of up to 2300 W (I calculated this for Michael Phelps's workout in Ballparking.) As such, you'd need to exercise 23 times longer than exercise guy does in his frame. I can't really do the relativity part without knowing how fast the train is moving. If the train moves fast enough, exercise guy would have to catch up to you in the burning calories department.
Are we talking fart power? If so, it depends on the speed. In Ballparking, I estimated that a sustained fart produces about 0.01 N of force upward. To have this lift you, you'd need the amount of gas to be about 90,000 times larger. Assuming a 10 mg normal fart (you get this by assuming a 10 cm3 fart with the same density as air), you'd need a fart that contained about 1 kg of air. That's almost a bath tub worth of fart air. |
Numerical Problems In Physics For Class IX, by the author Stalin Malhotra is an extensive guide book on various numerical problems in Physics, covered under the latest CBSE syllabus.
Summary Of The Book
Numerical Problems In Physics For Class IX has been written with an aim to guide the students of class IX who are enrolled under the CBSE course. It is a comprehensive book of numerical solutions in physics with chapter wise explanation of various contents like Measurement, Motion, Force and Newton's Law, Gravitation, Work, Energy and Power, Floating Bodies, Sound and its Propagation and Structure of Atom.
At the beginning of each chapter, a brief overview and summary of the content is provided. Through this book, the students gradually gain an in depth knowledge of the subject matter, the problems and the solutions. The book is thus, a 'step by step' approach to solving various numerical problems in the world of physics. This detailed guide ensures students study by presenting the material in an attention grabbing and interesting layout.
The book is loaded with various unsolved problems and hints to solve them. There are chapter wise test practices through which you can assess your knowledge of the chapter. The author has also incorporated questions from NCERT and various other competitive exams in the book. This gives the student an opportunity to probe into the chapter in a much more intricate way. It enables them to polish their numerical knowledge in physics and to hone their skills in solving various problems even out of the syllabus.
The book has been much appreciated by the CBSE students who claim it to be an excellent guide that helps them understand and solve the numerical problems with ease.
About Stanley Malhotra
Stalin Malhotra is an eminent educationist and a renowned author of a number of books for children. He is widely known as a significant contributor in the field of education.
He authored a number of guidebooks in physics for school children; some of which includes; Class 11 Physics, Numerical Problems In Physics For Class X, Target CBSE Physics (Class - XII), Frank CCE Everyday Science for Class-8 (With CD) and the like.
The main motive of Stalin's books is to guide the students in the most fruitful manner. His style and language is simple, and this enables students to understand the concept of the chapters with ease. He makes sure to use the language pattern that caters to CBSE students.
Stalin Malhotra is the Principal of the Delhi Public School, Faridabad. The All India Freelance Journalists and Writers' Association conferred him with Dr. Radha Krishana Memorial Teachers' Award in the year 2000.
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Free Online Math Classes
Free online math classes can help you master the basics without having to struggle through complicated textbooks or pay for a tutor. Check out this collection of the best free online math classes to learn how to solve just about any problem.
Beginning with a lesson on introduction to numbers and ending with quadratic equations, this free online math class is easy to understand. One hundred sixty lessons are broken down into small sections for quick referencing and reading.
Using real life situations and application of mathematical equations, these free online math classes show how useful math really is. The instructor takes her time, carefully explaining each step of a problem.
BrightStorm offers free online math classes from certified teachers. Each lesson is drawn on a white board to help viewers visualize the math. There's also a useful calculator below the video lesson. These classes are geared towards higher math subjects such as Algebra and Geometry. |
1 Answer
LOTS of terrific real analysis textbooks out there,but it sounds to me like you want something with just the basics and lots of examples. There's no better book for that then Kenneth Ross' Elementary Analysis:The Theory Of Calculus. It's exactly what the title says it is and it's by a master analyst.There's no better book for a student beginning real analysis with a weak calculus background who needs to get up to speed, which sadly is all too common these days.
Another book you could try which is very good for this,but considerably more difficult, is Michael Spivak's classic Calculus. Don't let the title fool you-this is a rigorous presentation of calculus with thorough discussions of convergence and limits. As I said,though-it's considerably harder then Ross,especially the exercises. |
perfect learning app for maths students to study maths formulas anywhere, anytime on their phone. It has been designed specifically for New South Wales Higher School Certificate Mathematics (2 unit) students, covering the topics listed in the Board of Studies syllabus.
It is the ideal app for year 11 and year 12 HSC maths students to • study formulas on the go, in their spare time (such as on the train), • look up formulas quickly and easily while they are doing their homework using the featured alphabetical index • prepare for assessments and the HSC examination using the topics listing.
The formulas can be viewed either by an alphabetical index or by topic. The 'Alphabetical Index' is designed so that the student can quickly lookup formulas whilst doing homework. The 'Formulas by Topics' feature has been designed to be used while preparing for assessments and the HSC examination.
In order to enhance the learning experience, many formulas have graphical illustrations. For those formulas which are a bit more abstract to understand, examples have also been included to demonstrate the meaning and application of the formulas.
This app includes many features including an attractive colour scheme to highlight formulas, graphs and diagrams, an easy-to-use main menu buttons containing the formulas by alphabetical index and by topics, and buttons to navigate between the various screens.
Trigonometry Formulas - Whether you love maths or hate maths, you need to know these formulasAvailable in many languages, this is a perfect app on Google Play that provides all basic many tools to calculate the geometric shapes or find the roots of equations. Users can also share any formulas with friends by many ways: email, message, or facebook. Not only for smartphones, this app is also suitable for tablets with compatible interfaces.
New features of the app: - Multiple languages support: English, French, Vietnamese, Chinese, Japanese, Spanish |
ALEX Lesson Plans
Title: As if numbers weren't complex enough already!
Description:
AfterStandard(s): 5: (+) Extend polynomial identities to the complex numbers. [N-CN8]
Subject: Mathematics (9 - 12) Title: As if numbers weren't complex enough already! Description: After
Title: Writing Word Equations
Description:
The
Standard(s): [S1] PHS (9-12) 4: Use nomenclature and chemical formulas to write balanced chemical equations. [S1] CHE (9-12) 6: Solve stoichiometric problems involving relationships among the number of particles, moles, and masses of reactants and products in a chemical reaction. [S1] CHE (9-12) 6: Solve stoichiometric problems involving relationships among the number of particles, moles, and masses of reactants and products in a chemical reaction. [MA2013] AL1 (9-12) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [N-RN2]2 (9-12) 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [F-IF8] [MA2013] ALC (9-12) 1: Create algebraic models for application-based problems by developing and solving equations and inequalities, including those involving direct, inverse, and joint variation. (Alabama) [MA2013] ALT 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [F-IF8]
Subject: Mathematics (9 - 12), or Science (9 - 12) Title: Writing Word Equations Description: The |
Description J. Nahin is the author of many best-selling popular math books, including "Mrs. Perkins's Electric Quilt", "Digital Dice", "Chases and Escapes", "Dr. Euler's Fabulous Formula", "When Least Is Best", and "An Imaginary Tale" (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.
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This text presents MATLAB both as a mathematical tool and a programming language, giving a concise and easy to master introduction to its potential and power. The fundamentals of MATLAB are illustrated throughout with many examples from a wide range of familiar scientific and engineering areas, as well as from everyday life. The new edition has been updated to include coverage of Symbolic Math and SIMULINK. It also adds new examples and applications, and uses the most recent release of Matlab.
4e is an ideal textbook for a first course on Matlab or an engineering problem solving course using Matlab, as well as a self-learning tutorial for professionals and students expected to learn and apply Matlab for themselves.
· New chapters on Symbolic Math and SIMULINK provide complete coverage of all the functions available in the student edition of Matlab. * New: more exercises and examples, including new examples of beam bending, flow over an airfoil, and other physics-based problems * A new bibliography provides sources for the engineering problems and examples discussed in the text · A chapter on algorithm development and program design · Common errors and pitfalls highlighted · Extensive teacher support on solutions manual, extra problems, multiple choice questions, PowerPoint slides · Companion website for students providing M-files used within the book
Numerical Computing with MATLAB is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing. The emphasis is on the informed use of mathematical software; in particular, the presentation helps readers learn enough about the mathematical functions in MATLAB to use them correctly, appreciate their limitations, and modify them appropriately. The book makes extensive use of computer graphics, including interactive graphical expositions of numerical algorithms. It provides more than 70 M-files, which can be downloaded from the text Web site Many of the more than 200 exercises involve modifying and extending these programs. The topics covered include an introduction to MATLAB; linear equations; interpolation; zeros and roots; least squares; quadrature; ordinary differential equations; Fourier analysis; random numbers; eigenvalues and singular values; and partial differential equations. Motivating applications include modern problems from cryptography, touch-tone dialing, Google page-ranking, atmospheric science, and image processing, as well as classical problems from physics and engineering.
This textbook provides a comprehensive introduction to the theory and practice of validated numerics, an emerging new field that combines the strengths of scientific computing and pure mathematics. In numerous fields ranging from pharmaceutics and engineering to weather prediction and robotics, fast and precise computations are essential. Based on the theory of set-valued analysis, a new suite of numerical methods is developed, producing efficient and reliable solvers for numerous problems in nonlinear analysis. Validated numerics yields rigorous computations that can find all possible solutions to a problem while taking into account all possible sources of error--fast, and with guaranteed accuracy.
Validated Numerics offers a self-contained primer on the subject, guiding readers from the basics to more advanced concepts and techniques. This book is an essential resource for those entering this fast-developing field, and it is also the ideal textbook for graduate students and advanced undergraduates needing an accessible introduction to the subject. Validated Numerics features many examples, exercises, and computer labs using MATLAB/C++, as well as detailed appendixes and an extensive bibliography for further reading.The goal of this book is to teach undergraduate students how to use Scientific Notebook (SNB) to solve physics problems. SNB software combines word processing and mathematics in standard notation with the power of symbolic computation. As its name implies, SNB can be used as a notebook in which students set up a math or science problem, write and solve equations, and analyze and discuss their results.
Written by a physics teacher with over 20 years experience, this text includes topics that have educational value, fit within the typical physics curriculum, and show the benefits of using SNB.
Ever wonder why cats land on their feet? Or what holds a spinning top upright? Or whether it is possible to feel the Earth's rotation in an airplane? Why Cats Land on Their Feet is a compendium of paradoxes and puzzles that readers can solve using their own physical intuition. And the surprising answers to virtually all of these astonishing paradoxes can be arrived at with no formal knowledge of physics.
Want to figure out how to open a wine bottle with a book? Or how to compute the square root of a number using a tennis shoe and a watch? Why Cats Land on Their Feet shows you how, and all that's required is a familiarity with basic high-school mathematics. This lively collection also features an appendix that explains all physical concepts used in the book, from Newton's laws to the fundamental theorem of calculus |
The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses. Elementary & Intermediate Algebra, 4e is system between the examples and exercise sets, so no matter where the students start, they will see the connection between the two. Finally, the author finds it important to not only provide quality but also a wide variety and quantity of exercises and applications
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Elementary & Intermediate Algebra (4th edition |
Connecting Geometry - Cathleen V. Sanders
A fully credited high school distance learning geometry course offered via the Internet to students throughout the Hawaiian islands as part of a grant-funded pilot project through the Hawaii Department of Education. During this E-School (electronic school) course Cathi Sanders, a teacher at Punahou School in Honolulu, and her students communicate through a Web page and via e-mail. Chapters include: 1. Communicating in Geometry; 2. Symmetry and Transformations; 3. Theorems in Geometry; 4. Congruent Triangles; 5. Triangle Properties; 6. Right Triangles; 7. Parallel Lines and Planes; 8. Polygons; 9. Similar Triangles; 10. Circles; 11. Perimeter and Area; 12. Surface Areas and Volumes.
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Euclid's Elements - David Joyce; Dept. of Mathematics & Computer Science, Clark University
A version of Euclid's Elements created by David Joyce to rekindle an interest in the Elements and to show how java applets can be used to illustrate geometry and to bring the Elements alive. The text of all 13 Books is complete. Joyce writes: "...deductive logic is learned almost exclusively in geometry... Modern mathematics and science use deductive logic as a primary tool of understanding. In mathematics, especially, nothing is considered to be known until it is proved."
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EUKLID - Roland Mechling
Dynamic geometry shareware in German and English. Create geometrical constructions on the screen just as on paper; then take a point in your drawing and drag it to another place, and the geometrical relations between all of the objects will be preserved. Runs on Windows 3.1, 95,98 and OS/2. Downloadable from the Web.Campus Licence also available
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Excerpt: ... ically complementary organs or parts: the nervous system; the skeletal system. A group of interacting mechanical or electrical components. A network of structures and channels, as for communication, travel, or distribution. A network of related computer software, hardware, and data transmission devices. IE316316 Lecture 1 5 Examples of Models Physical Models Simulation Models Probability Models Economic Models Biological Models Mathematical Programming Models IE316 Lecture 1 6 Mathematical Programming Models What does mathematical programming mean? Programming here means "planning." Literally, these are "mathematical models for planning." Also called optimization models. Essential elements Decision variables ...
Excerpt: ... he skeletal system. A group of interacting mechanical or electrical components. A network of structures and channels, as for communication, travel, or distribution. A network of related computer software, hardware, and data transmission devices. IE418418 Lecture 1 5 Examples of Standard Model Types Simulation Models Probability Models Economic Models Biological Models Mathematical Programming Models IE418 Lecture 1 6 Mathematical Programming Models What does mathematical programming mean? Programming here means "planning." Literally, these are "mathematical models for planning." Also called optimization models. The essential element is the existence of an objective. Some categories of mathematical programs (see the ...
Excerpt: ... Introduction to Mathematical Programming IE406 Lecture 5 Dr. Ted Ralphs IE406 Lecture 5 1 Reading for This Lecture Bertsimas 2.5-2.7 IE406 Lecture 5 2 Existence of Extreme Points Definition 1. A polyhedron P Rn contains a line if there exists a vector x P and a nonzero vector d Rn such that x + d P R. Theorem 1. Suppose that the polyhedron P = {x Rn|Ax b} is nonempty. Then the following are equivalent: The polyhedron P has at least one extreme point. The polyhedron P does not contain a line. There exist n rows of A that are linearly independent. IE406 Lecture 5 3 Optimality of Extreme Points Theorem 2. Let P Rn be a polyhedron and consider the problem minxP c x for a given c Rn. If P has at least one extreme point and there exists an optimal solution, then there exists an optimal solution that is an extreme point. Proof: IE406 Lecture 5 4 Optimality in Linear Programming For linear optimization, a finite optimal cost is equivalent to the existen ...
Excerpt: ... Findings from Observations of Mathematics Lessons in M3RP Teacher Leader Classrooms During the 2000-01 School Year Prepared by SAMPI-Western Michigan University July 2001 The Michigan Middle Schools Mathematics Reform Project (M3RP) is a four-year c ...
Excerpt: ... AEB 6182: Lecture V Transformations of Risk Aversion and E-V Versus Direct Utility Maximization I. Interpretations and Transformations of Scale for the Pratt-Arrow Absolute Risk Aversion coefficient: Implications for Generalized Stochastic Dominance A. To this point, we have discussed technical manifestations of risk aversion such as where the risk aversion coefficient comes from and how the utility of income is derived. However, I want to start turning to the question: How do we apply the concept of risk aversion? B. Several procedures exist for integrating risk into the decision making process such as direct application of expected utility, mathematical programming using the expected value-variance approximation, or the use of stochastic dominance. All of these approaches, however, require some notion of the relative size of risk aversion. 1. Risk aversion directly uses a risk aversion coefficient toparameterize the negative exponential or power utility functions. 2. Mathematical programming uses the concep ... |
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The Beginner's Guide to MATHEMATICA®, Version 4:This update of Jerry Glynn and Theodore Gray's hugely successful textbook covers not only the basic Mathematica features, but also the new features of Mathematica Version 4. The book teaches new Mathematica users some of the important basics of the latest release of this powerful software tool: using the typesetting features, programming palettes, defining functions, creating graphs and notebooks, and applying useful problem solving techniques. Using their skills as Mathematica experts and teachers, the authors provide a brisk but careful tutorial for the Mathematica novice. From the fundamentals of installing and running Mathematica on your computer, through to tips on how to get the most from the advanced programming features, the presentation maintains its concise and knowledgeable tone, providing indexes for both concepts and Mathematica function names. This book will be a valuable tool for both students and individual Mathematica users.
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Rent The Beginner's Guide to MATHEMATICA®, Version 4 4th edition today, or search our site for Theodore textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Cambridge University Press. |
Math Boot Camp
This workshop is designed to refresh and strengthen your business math skills. Topics include percentages, decimals, fractions, ratios and basic algebra. You will work on problem solving skills, test taking skills, and building math confidence. This course will refresh and strengthen business math skills necessary for an MBA program. |
A Level Further Maths
If you get a grade A at GCSE you should seriously consider studying Further Maths. As Maths is such a vast subject it is impossible to cover it all in one A Level. Hence Further Maths develops some of the concepts met in A Level Maths and brings it to a higher plane. it attracts students who thoroughly enjoy the subject and are keen to extend their understanding and knowledge. The course is chiefly for a student who wishes to study Mathematics, Engineering or any related subject in Higher Education.
What our students say......."I have thoroughly enjoyed my time here at Carmel, especially in my Further Maths studies. The new knowledge that I have learnt throughout the course has been extremely beneficial to my Maths studies as well and I really like the way the two subjects overlap in content but feel separate because of the different class and teacher." (Tara Moran-Reeves) |
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HMH Math on the Spot
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How about having a math tutor with you anytime, anywhere? Using HMH Math On the Spot, you can choose from hundreds of video lessons and topics from Grade 6 to Algebra 2. Whether you are studying negative numbers, linear equations, the Pythagorean Theorem, or polynomial functions, On the Spot video tutorials give you the detailed help you need where and when you need it.
Aligned to the Common Core State Standards, HMH Math On the Spot video tutorials feature Dr. Edward Burger, whose instructional style has earned him numerous awards. In 2006, Reader's Digest honored him in its annual "100 Best of America" special issue as "Best Math Teacher." In 2010, Dr. Burger won the Robert Foster Cherry Award for Great Teaching for his "proven record as an extraordinary teacher and distinguished scholar." Selected videos also feature Ms. Freddie Renfro, a math teacher, supervisor, and coordinator with more than 35 years experience in math education.
Features: • More than 1400 available videos organized, with over 100 topics covering algebra, geometry, numbers and operations, statistics, probability, and much more. • Purchase only the topics you need with over 40 topics for Middle School and over 60 for High School, each with multiple sets of video lessons. • Customize your instruction by building your own playlists and choosing your favorites. • Fully aligned to the Common Core State Standards for Mathematics • Available with English and Spanish audio narration and closed-captioning (Grades 6, 7, 8, and Algebra 1) |
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the state polytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics. The connections rely on Gröbner bases of toric ideals and other methods from commutative algebra.
The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes.
This book is published in cooperation with IAS/Park City Mathematics Institute.
Readership
Undergraduate and graduate students interested in computational geometry and polytopes.
Reviews
"Undergraduates will find this a very friendly and stimulating introduction to creative mathematics in higher dimensions." |
Intermediate Algebra : Graphs and Models - 3rd edition
Summary: The Third Edition of the Bittinger Graphs and Models series helps students succeed in algebra by emphasizing a visual understanding of concepts. This latest edition incorporates a new Visualizing the Graph feature that helps students make intuitive connections between graphs and functions without the aid of a graphing calculator.
3.1 Systems of Equations in Two Variables 3.2 Solving by Substitution or Elimination 3.3 Solving Applications: Systems of Two Equations 3.4 Systems of Equations in Three Variables 3.5 Solving Applications: Systems of Three Equations 3.6 Elimination Using Matrices 3.7 Determinants and Cramer's Rule 3.8 Business and Economics Applications
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Summary: These authors understand what it takes to be successful in mathematics, the skills that students bring to this course, and the way that technology can be used to enhance learning without sacrificing math skills. As a result, they have a created a textbook with an overall learning system involving preparation, practice, and review to help students get the most out of the time they put into studying. In sum, Sullivan and Sullivan'sAlgebra and Trigonometry: Enhanced with Graphing Utilit...show moreiesgives students a model for success in mathematics. ...show less
2008-01-07 Hardcover Very Good 5TH EDITION. CD INCLUDED SEALED. Book is in very good condition but has water mark along front edge. Minor shelf/edge wear, binding tight. Text appears clean & unmark...show moreed. ...show less
Water damaged Every book shipped with tracking number. Typical worn out used book. May have bent pages, loose binding, or markings. Overall definitely readable and usable. May not include Supplements,...show more CDs or Access Codes. -Acceptable- |
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Computer Mathematics
Presents easily accessible coverage of language theory, concentrating on the major properties of the fundamental and automata models for languages. Focuses on practical applications such as finite automata and pattern matching, regular expressions and text editing, extended context-free grammars, and syntax diagrams. Simple and elegant proofs are given for theorems usually considered difficult (e.g., Parikh's theorem or the proof that every finite automata has an equivalent regular expression). Provides algorithms in a Pascal-like notation which complement discussions of constructions and programming. Each chapter includes a springboard section introducing topics for further investigation. Also provides short exercises and programming projects plus extensive examples.
This is a tutorial on the FFT algorithm (fast Fourier transform) including an introduction to the DFT (discrete Fourier transform). It is written for the non-specialist in this field. It concentrates on the actual software (programs written in BASIC) so that readers will be able to use this technology when they have finished. Aimed at working engineers, advanced technicians and students.
Designed to help people solve numerical problems on small computers, this book's main subject areas are numerical linear algebra, function minimization and root-finding. This edition has been revised and updated, the main difference being that the algorithms are presented in Turbo Pascal.
This is a follow-on to Andy's first book - Understanding the FFT. It presents the fundamental mathematical notions underlying the DFT and FFT at essentially the same level as the first book. It goes on to illustrate applications of the FFT it instrumentation, audio and image enhancment (2-dimensional FFT), developing necessary peripheral techniques along the way.
Teaches new Mathematica users some of the important basics of this powerful software tool: defining functions, creating graphs and Notebooks, and applying useful problem-solving techniques. The authors cover 40 functions and use clear language and concise instructions to help readers master the basics.
This tutorial shows how to use Maple both as a calculator with instant access to hundreds of high-level math routines and as a programming language for more demanding tasks. It covers topics such as the basic data types and statements in the Maple language. It explains the differences between numeric computation and symbolic computation and illustrates how both are used in Maple. Extensive "how-to" examples are used throughout the tutorial to show how common types of calculations can be expressed easily in Maple. The manual also uses many graphics examples to illustrate the way in which 2D and 3D graphics can aid in understanding the behavior of functions.
Professional programmers and computer science students alike will appreciate this easy-to-use reference. It provides the vital foundation every computer scientist must have -- how to formulate an algorithm in some mathematical form.
To accomplish this, the author uses a layered approach with each successive chapter reinforcing the preceding chapters. Numerous exercises, graded by level of difficulty, are provided to fully convey the material.
A proven text for introductory computer science courses, the book includes sections on sets, functions, and relations; algebraic systems; and programming applications. |
An informal approach to the basic ideas of geometry; including construction, congruence and similarity, transformations, symmetry, measurement, and coordinate geometry. This course satisfies the quantitative skills requirement for the AA degree, provided that MATH& 171 (previously MATH 121) has also been successfully completed. Prerequisite: grade of 2.0 or better in MATH& 171.
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5:00PM - 7:10PM
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30
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Montgomery, TX ACT approach was to use grade level material a with algebra extensively and understand what we need to do to master it. Calculus introduces abstract mathematical concepts that often require significant explanation in to understand its fundamental concepts. Calculus becomes even more complex in the second half of the basic course. |
Pre-Algebra: Equations with Variables and Proportion (Resource Book Only) eBook
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Price:4.49$3.82 Tall-Tale Math: Pre-Algebra. The series features humorous and creative story problems that spark curiosity. Designed to help instructors implement the National Council of Teachers of Mathematics Curriculum & Evaluation Standards and the CCSS for Mathematics, this unit empowers students by helping them understand and utilize the fundamentals of mathematics. They develop an understanding of number, recognizing fractions, decimals, and percents as different representations of rational numbers. |
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