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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 | |