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Just-In-Time Algebra and Trigonometry for Students of Calculus Guntram Mueller

Just-In-Time Algebra and Trigonometry for Students of Calculus By Guntram Mueller

Just-In-Time Algebra and Trigonometry for Students of Calculus by Guntram Mueller

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Summary

Strong Algebra and Trigonometry skills are crucial to success in calculus. This text is designed to bolster these skills while students study calculus. It shows them the relevant algebra or trigonometry topics and points out potential problem spots. It also gives the exponential, log, and inverse trigonometric functions in the appendices.

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Just-In-Time Algebra and Trigonometry for Students of Calculus Summary

Just-In-Time Algebra and Trigonometry for Students of Calculus by Guntram Mueller

Strong Algebra and Trigonometry skills are crucial to success in calculus. This text is designed to bolster these skills while students study calculus. As students make their way through the calculus course, this supplemental text shows them the relevant algebra or trigonometry topics and points out potential problem spots. The table of contents is organized so that the algebra and trigonometry topics are arranged in the order in which they are needed for calculus. The exponential, log, and inverse trigonometric functions are given in the appendices, to be used as the need arises in the particular calculus text used in the course.

Topics include:

1. Numbers and Their Disguises
2. Completing the Square

3. Solving Equations
4. Functions and Their Graphs

5. Changing the Form of a Function

6. Simplifying Algebraic Expressions

7. Cyclic Phenomena: The Six Basic Trigonometric Functions
8. Composition and Decomposition of Functions
9. Equations of Degree 1 Revisited
10. Word Problems

11. Trigonometric Identities

About Guntram Mueller

Guntram B. Mueller received his Ph.D. in Mathematics (Theory of Functions of Several Complex Variables) in 1971 from the University of Notre Dame. He has taught Calculus many times and is very familiar with the typical strengths and weaknesses in the backgrounds of his students. That experience is what guided him, in cooperation with Dr. Ron Brent, in writing the Just-in-Time series. His advice? Buy the book! It's got just what you need, just in time.

Ronald I. Brent is a Professor of Mathematics at University of Massachusetts, Lowell, where he has taught since 1987. He earned his Ph.D. in Mathematics from Renssalaer Polytechnic Institute. Dr. Brent is the author of many publications, including three Just-In-Time mathematics texts. His main advice to his calculus students is: "Work on your homework as if your life in this course depends upon it! Because it does!"

Table of Contents



1. Numbers and Their Disguises

Brackets, multiplying and dividing fractions, adding and subtracting fractions, exponents, roots, percent, scientific notation, calculators, rounding, intervals



2. Completing the Square

Completing the square in one and two variables



3. Solving Equations

Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property



4. Functions and Their Graphs

Introduction, equations of lines, power functions, shifting graphs, intersection of curves



5. Changing the Form of a Function

Factoring, canceling, long division, rationalizing, extracting a factor from under a radical



6. Simplifying Algebraic Expressions

Working with difference quotients and rational functions, canceling common factors, rationalizing expressions



7. Cyclic Phenomena: The Six Basic Trigonometric Functions

Angles, definitions of the six trigonometric functions, special angles, graphs involving sin x and cos x



8. Composition and Decomposition of Functions

Composite functions, inner, outer, and outermost functions, decomposing composite functions



9. Equations of Degree 1 Revisited

Solving linear equations involving derivatives



10. Word Problems

Algebraic word problems; the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines



11. Trigonometric Identities

Rewriting trigonometric expressions using identities



Appendices

A. Exponential Functions

B. Inverse Functions

C. Logarithmic Functions D. Inverse Trigonometric Functions

E. The Binomial Theorem

E. Derivation of the Quadratic Formula



Answers to Exercises


Index

Additional information

CIN0321269438VG
9780321269430
0321269438
Just-In-Time Algebra and Trigonometry for Students of Calculus by Guntram Mueller
Guntram Mueller
Used - Very Good
Paperback
Pearson Education (US)
2004-09-23
224
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - Just-In-Time Algebra and Trigonometry for Students of Calculus