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| P. Prerequisites: Fundamental Concepts of Algebra | |
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| Real Numbers and Algebraic Expressions | |
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| Exponents and Scientific Notation | |
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| Radicals and Rational Exponents | |
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| Polynomials | |
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| Factoring Polynomials | |
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| Rational Expressions | |
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| Equations, Inequalities, and Mathematical Models | |
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| Graphs and Graphing Utilities | |
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| Linear Equations | |
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| Formulas and Applications | |
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| Quadratic Equations | |
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| Other Types of Equations | |
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| Linear Inequalities | |
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| Quadratic and Rational Inequalities | |
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| Functions and Graphs | |
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| Lines and Slope | |
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| Distance and Midpoint Formulas: Circles | |
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| Basics of Functions | |
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| Graphs of Functions | |
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| Transformations of Functions | |
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| Combinations of Functions: Composite Functions | |
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| Inverse Functions | |
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| Polynomial and Rational Functions | |
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| Quadratic Functions | |
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| Polynomial Functions and Their Graphs | |
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| Dividing Polynomials: Remainder and Factor Theorems | |
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| Zeros of Polynomial Functions | |
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| More on Zeros of Polynomial Functions | |
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| Rational Functions and Their Graphs | |
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| Modeling Using Variation | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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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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| Modeling with Exponential and Logarithmic Functions | |
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| Systems of Equations and Inequalities | |
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| Systems of Linear Equations in Two Variables | |
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| Systems of Linear Equations in Three Variables | |
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| Partial Fractions | |
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| Systems of Nonlinear Equations in Two Variables | |
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| Systems of Inequalities | |
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| Linear Programming | |
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| Matrices and Determinants | |
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| Matrix Solutions to Linear Systems | |
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| Inconsistent and Dependent Systems and Their Applications | |
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| Matrix Operations and Their Applications | |
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| Multiplicative Inverses of Matrices and Matrix Equations | |
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| Determinants and Cramer's Rule | |
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| Conic Sections | |
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| The Ellipse | |
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| The Hyperbola | |
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| The Parabola | |
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| Sequences, Induction, and Probability | |
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| 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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| Counting Principles, Permutations, and Combinations | |
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| Probability | |
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| Appendix: Where Did That Come From? Selected Proofs | |
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| Answers to Selected Exercises | |
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| Subject Index | |
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| Photo Credits | |