Just-in-Time Algebra and Trigonometry for Students of Calculus / Edition 3

Just-in-Time Algebra and Trigonometry for Students of Calculus / Edition 3

by Guntram Mueller
ISBN-10:
0321269438
ISBN-13:
2900321269439
Pub. Date:
09/23/2004
Publisher:
Pearson
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Overview

Just-in-Time Algebra and Trigonometry for Students of Calculus / Edition 3

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

Product Details

ISBN-13: 2900321269439
Publisher: Pearson
Publication date: 09/23/2004
Edition description: Older Edition
Pages: 224
Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)

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 involvingderivatives.

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. The Binomial Theorem.
E. Derivation of the Quadratic Formula.

Answers to Exercises.
Index.

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