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| Annotated Contents | |
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| Preface | |
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| To the Student | |
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| To the Instructor | |
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| Acknowledgments | |
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| Problem Solving | |
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| Pictures, Graphs, and Diagrams | |
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| Symbolic Representation | |
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| Organizing Information | |
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| Measures of Central Tendency and Box Plots | |
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| Measures of Spread | |
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| Review | |
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| Patterns and Recursion | |
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| Recursively Defined Sequences | |
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| Modeling Growth and Decay | |
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| A First Look at Limits | |
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| Graphing and Sequences | |
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| Loans and Investments | |
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| Review | |
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| Linear Models and Systems | |
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| Linear Equations | |
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| Revisiting Slope | |
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| Fitting a Line to Data | |
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| Linear Systems | |
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| Substitution and Elimination | |
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| Review | |
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| Functions , Relations, and Transformations | |
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| Interpreting Graphs | |
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| Function Notation | |
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| Lines in Motion | |
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| Translations and the Quadratic Family | |
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| Reflections and the Square Root Family | |
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| Stretches and Shrinks and the Absolute Value Family | |
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| Transformations and the Circle Family | |
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| Compositions of Functions | |
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| Review | |
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| Exponential , Power, and Logarithmic Functions | |
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| The Exponential Function | |
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| Properties of Exponents | |
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| Fractional Exponents and Roots | |
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| Applications of Power Equations | |
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| Building Inverses of Functions | |
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| The Logarithmic Function | |
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| Properties of Logarithms | |
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| Applications of Logarithms | |
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| Review | |
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| Quadratic and Other Polynomial Functions | |
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| Polynomial Degree and Finite Differences | |
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| Equivalent Quadratic Forms | |
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| Completing the Square | |
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| The Quadratic Formula | |
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| Complex Numbers | |
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| Factoring Polynomials | |
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| Higher-Degree Polynomials | |
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| More about Finding Solutions | |
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| Review | |
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| Matrices and Linear Systems | |
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| Matrix Representations | |
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| Matrix Operations | |
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| The Row Reduction Method | |
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| Solving Systems with Inverse Matrices | |
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| Systems of Linear Inequalities | |
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| Linear Programming | |
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| Review | |
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| Parametric Equations and Trigonometry | |
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| Graphing Parametric Equations | |
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| Converting Parametric to Nonparametric Equations | |
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| Right Triangle Trigonometry | |
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| Using Trigonometry to Set a Course | |
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| Projectile Motion | |
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| The Law of Sines | |
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| The Law of Cosines | |
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| Review | |
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| Conic Sections and Rational Functions | |
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| Using the Distance Formula | |
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| Circles and Ellipses | |
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| Parabolas | |
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| The Hyperbola | |
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| Nonlinear Systems of Equations | |
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| Introduction to Rational Functions | |
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| Graphs of Rational Functions | |
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| Operations with Rational Expressions | |
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| Review | |
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| Series | |
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| Arithmetic Series | |
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| Infinite Geometric Series | |
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| Partial Sums of Geometric Series | |
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| Review | |
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| Probability | |
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| Randomness and Probability | |