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| True/False Exercises | |
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| Review Exercises, and a Chapter Test | |
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| Preliminary Concepts | |
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| The Real Number System | |
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| Intervals, Absolute Value, and Distance | |
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| Integer and Rational Number Exponents | |
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| Polynomials | |
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| Factoring | |
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| Rational Expressions Exploring Concepts with Technology: Can You Trust Your Calculator? | |
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| Equations and Inequalities | |
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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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| Inequalities | |
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| Variation and Applications Exploring Concepts with Technology: The Mandelbrot Replacement Procedure | |
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| Functions and Graphs | |
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| A Two-Dimensional Coordinate System and Graphs | |
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| Introduction to Functions | |
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| Linear Functions | |
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| Quadratic Functions | |
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| Properties of Graphs | |
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| The Algebra of Functions | |
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| Modeling Data Using Regression Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator | |
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| Polynomial and Rational Functions | |
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| Polynomial Division and Synthetic Division | |
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| Polynomial Functions | |
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| Zeros of Polynomial Functions | |
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| The Fundamental Theorem of Algebra | |
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| Rational Functions and Their Graphs Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica | |
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| Exponential and Logarithmic Functions | |
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| Inverse Functions | |
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| Exponential Functions and Their Graphs | |
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| Logarithms Functions and Their Graphs | |
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| Properties of Logarithms | |
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| Exponential and Logarithmic Equations | |
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| Applications of Exponential and Logarithmic Functions | |
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| Modeling Data with Exponential and Logarithmic Functions Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay | |
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| Topics in Analytic Geometry | |
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| Parabolas | |
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| Ellipses | |
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| Hyperbolas Exploring Concepts with Technology: Using a Graphing Calculator to Illustrate a Property of Parabolas | |
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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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| Nonlinear Systems of Equations | |
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| Partial Fractions | |
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| Inequalities in Two Variables and Systems of Inequalities | |
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| Linear Programming Exploring Concepts with Technology: Ill-Conditioned Systems of Equations | |
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| Matrices | |
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| Gaussian Elimination Method | |
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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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| Cramer's Rule Exploring Concepts with Technology: Stochastic Matrices | |
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| Sequences, Series, and Probability | |
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| Infinite Sequences and Summation Notation | |
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| Arithmetic Sequences and Series | |
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| Geometric Sequences and Series | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Permutations and Combinations | |
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| Introduction to Probability Exploring Concepts with Technology: Mathematical Expectation Solutions to Selected Exercises | |
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| Answers to Odd-Numbered Exercises | |
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| Glossary | |
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| Index | |