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.
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
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Table of Contents
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.
B. Inverse Functions.
C. Logarithmic Functions.
D. The Binomial Theorem.
E. Derivation of the Quadratic Formula.
Answers to Exercises.