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| Fundamentals | |
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| Sets of Real Numbers | |
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| Absolute Value | |
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| Solving Equations (Review and Preview) | |
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| Rectangular Coordinates. Visualizing Data | |
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| Graphs and Graphing Utilities | |
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| Equations of Lines | |
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| Symmetry and Graphs. Circles | |
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| Equations and Inequalities | |
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| Quadratic Equations: Theory and Examples | |
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| Other Types of Equations | |
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| Applied Problems (A Warm-up) | |
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| Applications | |
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| Inequalities | |
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| More on Inequalities | |
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| Functions | |
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| The Definition of a Function | |
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| The Graph of a Function | |
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| Shapes of Graphs. Average Rate of Change | |
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| Techniques in Graphing | |
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| Methods of Combining Functions. Iteration | |
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| Inverse Functions | |
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| Variation | |
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| Polynomial and Rational Functions. Applications to Optimization | |
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| Linear Functions | |
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| Quadratic Functions | |
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| Using Iteration to Model Population Growth (Optional Section) | |
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| Setting Up Equations That Define Functions | |
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| Maximum and Minimum Problems | |
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| Polynomial Functions | |
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| Rational Functions | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| The Exponential Function y = e[superscript x] | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Equations and Inequalities with Logs and Exponents | |
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| Compound Interest | |
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| Exponential Growth and Decay | |
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| Systems of Equations | |
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| Systems of Two Linear Equations in Two Unknowns | |
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| Gaussian Elimination | |
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| Matrices | |
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| The Inverse of a Square Matrix | |
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| Determinants and Cramer's Rule | |
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| Nonlinear Systems of Equations | |
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| Systems of Inequalities. Linear Programming | |
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| Roots of Polynomial Equations | |
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| The Complex Number System | |
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| Division of Polynomials | |
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| The Remainder Theorem and the Factor Theorem | |
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| The Fundamental Theorem of Algebra | |
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| Rational and Irrational Roots | |
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| Conjugate Roots and Descartes's Rule of Signs | |
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| Introduction to Partial Fractions | |
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| More about Partial Fractions | |
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| The Conic Sections | |
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| The Parabola | |
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| Tangents to Parabolas (Optional Section) | |
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| The Ellipse | |
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| The Hyperbola | |
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| The Focus-Directrix Property of Conics | |
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| Additional Topics in Algebra | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Introduction to Sequences and Series | |
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| Arithmetic Sequences and Series | |
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| Geometric Sequences and Series | |
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| Permutations and Combinations | |
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| Introduction to Probability | |
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| Appendix | |
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| Significant Digits | |
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| Properties of Real Numbers | |
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| [radical]2 Is Irrational | |
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| Appendix | |
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| Review of Integer Exponents | |
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| Review of nth Roots | |
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| Review of Rational Exponents | |
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| Review of Factoring | |
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| Review of Fractional Expressions | |
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| Answers | |
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| Index | |