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Note: Each chapter contains a Summary | |

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Review Exercises, and a Test | |

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An Introduction to Graphing Utilities | |

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Prerequisites | |

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Real Numbers | |

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Exponents and Radicals | |

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Polynomials and Special Products | |

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Factoring | |

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Rational Expressions | |

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Errors and the Algebra of Calculus | |

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Graphical Representation of Data Project: Numerically Finding a Maximum Volume | |

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Equations and Inequalities | |

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Graphs of Equations | |

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Linear Equations in One Variable | |

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Modeling with Linear Equations | |

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Quadratic Equations | |

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Complex Numbers | |

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Other Types of Equations | |

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Linear Inequalities | |

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Other Types of Inequalities Project: Finding Falling Times Numerically | |

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Functions and Their Graphs | |

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Linear Equations in Two Variables | |

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Functions | |

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Analyzing Graphs of Functions | |

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Shifting, Reflecting, and Stretching Graphs | |

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Combinations of Functions | |

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Inverse Functions Project: A Graphical Approach to Maximization Cumulative Test for Chapters P2 | |

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Polynomial Functions | |

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Quadratic Functions | |

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Polynomial Functions of Higher Degree | |

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Polynomial and Synthetic Division | |

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Zeros of Polynomial Functions | |

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Mathematical Modeling Project: Finding Points of Intersection Graphically | |

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Rational Functions and Conics | |

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Rational Functions and Asymptotes | |

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Graphs of Rational Functions | |

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Partial Fractions | |

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Conics | |

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Translations of Conics Project: Graphical Approach to Finding Average Cost | |

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Exponential and Logarithmic Functions | |

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Exponential Functions and Their Graphs | |

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Logarithmic Functions and Their Graphs | |

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Properties of Logarithms | |

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Exponential and Logarithmic Equations | |

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Exponential and Logarithmic Models Project: Graphical Approach to Compound Interest Cumulative Test for Chapters 35 | |

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Trigonometry | |

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Angles and Their Measures | |

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Right Triangle Trigonometry | |

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Trigonometric Functions of Any Angle | |

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Graphs of Sine and Cosine Functions | |

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Graphs of Other Trigonometric Functions | |

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Inverse Trigonometric Functions | |

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Applications and Models Project: Analyzing a Graph | |

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Analytic Trigonometry | |

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Using Fundamental Identities | |

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Verifying Trigonometric Identities | |

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Solving Trigonometric Equations | |

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Sum and Difference Formulas | |

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Multiple-Angle and Product-to-Sum Formulas Project: Projectile Motion | |

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Additional Topics in Trigonometry | |

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Law of Sines | |

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Law of Cosines | |

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Vectors in the Plane | |

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Vectors and Dot Products | |

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Trigonometric Form of a Complex Number Project: Adding Vectors Graphically Cumulative Test for Chapters 68 | |

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Systems of Equations and Inequalities | |

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Solving Systems of Equations | |

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Two-Variable Linear Systems | |

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Multivariable Linear Systems | |

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Systems of Inequalities | |

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Linear Programming Project: Fitting Models to Data | |

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Matrices and Determinants | |

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Matrices and Systems of Equations | |

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Operations with Matrices | |

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The Inverse of a Square Matrix | |

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The Determinant of a Square Matrix | |

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Applications of Matrices and Determinants Project: Solving Systems of Equations | |

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Sequences, Series, and Probability | |

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Sequences and Series | |

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Arithmetic Sequences and Partial Sums | |

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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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Counting Principles | |

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Probability Project: Exploring Difference Quotients Cumulative Test for Chapters 911 | |

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Appendices | |

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Proofs of Selected Theorems | |

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Concepts in Statistics | |

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Representing Data | |

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Measures of Central Tendency and Dispersion | |

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Least Squares Regression | |