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| Preface | |
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| Application Index | |
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| Functions, Graphs, and Models | |
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| Using Graphing Calculators | |
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| Functions | |
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| Functions: Graphs and Properties | |
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| Functions: Graphs and Transformation | |
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| Operations on Functions; Composition | |
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| Inverse Functions | |
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| Chapter 1 Review | |
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| Chapter 1 Group Activity: Mathematical Modeling: Choosing a Cell Phone Provider | |
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| Modeling with Linear and Quadratic Functions | |
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| Linear Functions | |
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| Linear Equations and Models | |
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| Quadratic Functions | |
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| Complex Numbers | |
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| Quadratic Equations and Models | |
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| Additional Equation-Solving Techniques | |
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| Solving Inequalities | |
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| Chapter 2 Review | |
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| Chapter 2 Group Activity: Mathematical | |
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| Modeling in Population Studies | |
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| Cumulative Review Exercises Chapter 1-2 | |
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| Polynomial and Rational Functions | |
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| Polynomial Functions and Models | |
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| Polynomial Division | |
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| Real Zeros and Polynomial Inequalities | |
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| Complex Zeros and Rational Zeros of Polynomials | |
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| Rational Functions and Inequalities | |
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| Variation and Modeling | |
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| Chapter 3 Review | |
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| Chapter 3 Group Activity: Interpolating Polynomials | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Exponential Models | |
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| Logarithmic Functions | |
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| Logarithmic Models | |
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| Exponential and Logarithmic Equations | |
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| Chapter 4 Review | |
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| Chapter 4 Group Activity: Comparing Regression Models | |
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| Cumulative Review Exercises Chapter 3-4 | |
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| Modeling with 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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| Systems of Linear Inequalities | |
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| Linear Programming | |
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| Chapter 5 Review | |
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| Chapter 5 Group Activity: Heat Conduction | |
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| Matrices and Determinants | |
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| Systems of Linear Equations: Gauss-Jordan Elimination | |
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| Matrix Operations | |
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| Inverse of a Square Matrix | |
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| Matrix Equations and Systems of Linear Equations | |
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| Determinants | |
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| Properties of Determinants | |
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| Determinants and Cramer's Rule | |
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| Chapter 6 Review | |
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| Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit | |
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| Cumulative Review Exercises Chapter 5-6 | |
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| Sequences, Induction, and Probability | |
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| Sequences and Series | |
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| Mathematical Induction | |
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| Arithmetic and Geometric Sequences | |
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| The Multiplication Principle, Permutations, and Combinations | |
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| Sample Spaces and Probability | |
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| The Binomial Formula | |
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| Chapter 7 Review | |
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| Chapter 7 Group Activity: Sequences Specified by Recursion Formulas | |
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| Additional Topics in Analytic Geometry | |
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| Conic Sections; Parabola | |
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| Ellipse | |
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| Hyperbola | |
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| Systems of Nonlinear Equations | |
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| Chapter 8 Review | |
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| Chapter 8 Group Activity: Focal Chords | |
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| Cumulative Review Exercises Chapter 7-8 | |
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| Basic Algebra Review | |
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| Algebra and Real Numbers | |
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| Exponents | |
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| Radicals | |
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| Polynomials: Basic Operations | |
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| Polynomials: Factoring | |
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| Rational Expressions: Basic Operations | |
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| Review * | |
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| Group Activity: Rational and Irrational Numbers * | |
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| *Available online at www.mhhe.com/barnett | |
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| Review of Equations and Graphing | |
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| Linear Equations and Inequalities | |
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| Cartesian Coordinate System | |
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| Basic Formulas in Analytic Geometry | |
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| Special Topics | |
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| Significant Digits | |
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| Partial Fractions | |
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| Descartes' Rule of Signs | |
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| Parametric Equations * | |
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| *Available online at www.mhhe.com/barnett | |
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| Geometric Formulas | |