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| 1. TOPICS FROM ALGEBRA | |
| Real Numbers | |
| Exponents and Radicals | |
| Algebraic Expressions | |
| Equations | |
| Complex Numbers | |
| Inequalities | |
| Rectangular Coordinate Systems | |
| Lines | |
| Chapter 1 Review Exercises | |
| Chapter 1 Discussion Exercises | |
| 2. FUNCTIONS | |
| Definition of Function | |
| Graphs of Functions | |
| Quadratic Functions | |
| Operations on Functions | |
| Inverse Functions | |
| Chapter 2 Review Exercises | |
| Chapter 2 Discussion Exercises | |
| 3. POLYNOMIAL AND RATIONAL FUNCTIONS | |
| Polynomial Functions of Degree Greater than 2. Properties of Division | |
| Zeros of Polynomials | |
| Complex and Rational Zeros of Polynomials | |
| Rational Functions | |
| Chapter 3 Review Exercises | |
| Chapter 3 Discussion Exercises | |
| 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |
| Exponential Functions | |
| The Natural Exponential Function | |
| Logarithmic Functions | |
| Properties of Logarithms | |
| Exponential and Logarithmic Equations | |
| Chapter 4 Review Exercises | |
| Chapter 4 Discussion Exercises | |
| 5. THE TRIGONOMETRIC FUNCTIONS | |
| Angles | |
| Trigonometric Functions of Angles | |
| Trigonometric Functions of Real Numbers | |
| Values of the Trigonometric Functions | |
| Trigonometric Graphs | |
| Additional Trigonometric Graphs | |
| Applied Problems | |
| Chapter 5 Review Exercises | |
| Chapter 5 Discussion Exercises | |
| 6. ANALYTIC TRIGONOMETRY | |
| Verifying Trigonometric Identities | |
| Trigonometric Equations | |
| The Addition and Subtraction Formulas | |
| Multiple-Angle Formulas | |
| Product-to-Sum and Sum-to-Product Formulas | |
| The Inverse Trigonometric Functions | |
| Chapter 6 Review Exercises | |
| Chapter 6 Discussion Exercises | |
| 7. APPLICATIONS OF TRIGONOMETRY | |
| The Law of Sines | |
| The Law of Cosines | |
| Trigonometric Form for Complex Numbers | |
| DeMoivre's Theorem and nth Roots of Complex Numbers | |
| Vectors | |
| The Dot Product | |
| Chapter 7 Review Exercises | |
| Chapter 7 Discussion Exercises | |
| 8. SYSTEMS OF EQUATIONS AND INEQUALITIES | |
| Systems of Equations | |
| Systems of Linear Equations in Two Variables | |
| Systems of Linear Equations in More than Two Variables | |
| Partial Fractions | |
| Systems of Inequalities | |
| Linear Programming | |
| The Algebra of Matrices | |
| The Inverse of a Matrix | |
| Determinants | |
| Properties of Determinants | |
| Chapter 8 Review Exercises | |
| Chapter 8 Discussion Exercises | |
| 9. SEQUENCES, SERIES, AND PROBABILITY | |
| Infinite Sequences and Summation Notation | |
| Arithmetic Sequences | |
| Geometric Sequences | |
| Mathematical Induction | |
| The Binomial Theorem | |
| Permutations | |
| Distinguishable Permutations and Combinations | |
| Probability | |
| Chapter 9 Review Exercises | |
| Chapter 9 Discussion Exercises | |
| 10. TOPICS FROM ANALYTIC GEOMETRY | |
| Parabolas | |
| Ellipses | |
| Hyperbolas | |
| Plane Curves and Parametric Equations | |
| Polar Coordinates | |
| Polar Equations of Conics | |
| Chapter 10 Review Exercises | |
| Chapter 10 Discussion Exercises | |
| Appendix I: Using a TI-82/83 Graphing Calculator | |
| Appendix II: Common Graphs and Their Equations | |
| Appendix III: A Summary of Graph Transformations | |
| Appendix IV: Graphs of the Trigonometric Functions and Their Inverses | |
| Answers to Selected Exercises | |
| Index of Applications | |
| Index |
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