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| Fundamental Concepts of Algebra | |
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| Real Numbers | |
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| Exponents and Radicals | |
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| Algebraic Expressions | |
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| Fractional Expressions | |
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| Chapter 1 Review Exercises | |
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| Chapter 1 Discussion Exercises | |
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| Equations and Inequalities | |
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| Equations | |
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| Applied Problems | |
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| Quadratic Equations | |
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| Complex Numbers | |
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| Other Types of Equations | |
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| Inequalities | |
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| More on Inequalities | |
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| Chapter 2 Review Exercises | |
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| Chapter 2 Discussion Exercises | |
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| Functions and Graphs | |
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| Rectangular Coordinate Systems | |
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| Graphs of Equations | |
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| Lines | |
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| Definition of Function | |
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| Graphs of Functions | |
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| Quadratic Functions | |
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| Operations on Functions | |
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| Chapter 3 Review Exercises | |
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| Chapter 3 Discussion Exercises | |
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| Polynomial and Rational Functions | |
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| Polynomial Functions of Degree Greater than 2 | |
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| Properties of Division | |
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| Zeros of Polynomials | |
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| Complex and Rational Zeros of Polynomials | |
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| Rational Functions | |
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| Variation | |
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| Chapter 4 Review Exercises | |
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| Chapter 4 Discussion Exercises | |
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| Inverse, Exponential, and Logarithmic Functions | |
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| Inverse Functions | |
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| Exponential Functions | |
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| The Natural Exponential Function | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Exponential and Logarithmic Equations | |
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| Chapter 5 Review Exercises | |
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| Chapter 5 Discussion Exercises | |
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| The Trigonometric Functions | |
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| Angles | |
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| Trigonometric Functions of Angles | |
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| Trigonometric Functions of Real Numbers | |
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| Values of Trigonometric Functions | |
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| Trigonometric Graphs | |
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| Additional Trigonometric Graphs | |
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| Applied Problems | |
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| Chapter 6 Review Exercises | |
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| Chapter 6 Discussion Exercises | |
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| Analytic Trigonometry | |
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| Verifying Trigonometric Identities | |
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| Trigonometric Equations | |
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| The Addition and Subtraction Formulas | |
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| Multiple-Angle Formulas | |
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| Product-to-Sum and Sum-to-Product Formulas | |
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| The Inverse Trigonometric Functions | |
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| Chapter 7 Review Exercises | |
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| Chapter 7 Discussion Exercises | |
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| Applications of Trigonometry | |
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| The Law of Sines | |
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| The Law of Cosines | |
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| Trigonometric Form for Complex Numbers | |
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| De Moivre's Theorem and nth Roots of Complex Numbers | |
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| Vectors | |
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| The Dot Product | |
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| Chapter 8 Review Exercises | |
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| Chapter 8 Discussion Exercises | |
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| Systems of Equations and Inequalities | |
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| Systems of Equations | |
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| Systems of Linear Equations in Two Variables | |
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| Systems of Linear Equations in More than Two Variables | |
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| Partial Fractions | |
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| Systems of Inequalities | |
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| Linear Programming | |
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| The Algebra of Matrices | |
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| The Inverse of a Matrix | |
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| Determinants | |
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| Properties of Determinants | |
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| Chapter 9 Review Exercises | |
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| Chapter 9 Discussion Exercises | |
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| Sequences, Series, and Probability | |
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| Infinite Sequences and Summation Notation | |
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| Arithmetic Sequences | |
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| Geometric Sequences | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Permutations | |
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| Distinguishable Permutations and Combinations | |
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| Probability | |
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| Chapter 10 Review Exercises | |
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| Chapter 10 Discussion Exercises | |
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| Topics from Analytic Geometry | |
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| Parabolas | |
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| Ellipses | |
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| Hyperbolas | |
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| Plane Curves and Parametric Equations | |
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| Polar Coordinates | |
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| Polar Equations of Conics | |
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| Chapter 11 Review Exercises | |
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| Chapter 11 Discussion Exercises | |
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| Appendices | |
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| Answers to Selected Exercises | |
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| Index of Applications | |
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| Index | |