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Table of Contents(*Each chapter ends with Review Grids, Review Exercises, and Chapter Test sections.)
P. Prerequisites: Fundamental Concepts of Algebra.
Real Numbers and Algebraic Expressions. Exponents and Scientific Notation. Radicals and Rational Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Linear Equations. Quadratic Equations. Linear Inequalities
1. Graphs, Functions, and Models.
Graphs and Graphing Utilities. Lines and Slopes. Distance and Midpoint Formulas. Basics of Functions. Graphs of Functions. Transformations of Functions. Combinations of Functions. Inverse Functions. Modeling with Functions.
2. Polynomial and Rational Functions.
Complex Numbers. Quadratic Functions. Polynomial Functions and their Graphs. Dividing Polynomials: Remainder and Factor Theorems. Zeros of Polynomial Functions. Rational Functions and Their Graphs. Polynomial and Rational Inequalities. Modeling Using Variation.
3. Exponential and Logarithmic Functions.
Exponential Functions. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions.
4. Trigonometric Functions.
Angles and Their Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications of Trigonometric Functions.
5. Analytic Trigonometry
Verifying Trigonometric Identities. Sum and Difference Formulas. Double-Angle and Half-Angle Formulas.Product to Sum and Sum to Product Formulas. Trigonometric Equations.
6. Additional Topics in Trigonometry.
The Law of Sines. The Law of Cosines. Polar Coordinates. Graphs of Polar Equations. Complex Numbers in Polar Form; DeMoivre's Theorem. Vectors. The Dot Product.
Appendix: Where Did That Come From? Selected Proofs.
Answers to Selected Exercises.
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