Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving | |

Functions and Their Graphs | |

Rectangular Coordinates Graphs of Equations | |

Linear Equations in Two Variables Functions | |

Analyzing Graphs of Functions | |

A Library of Parent Functions | |

Transformations of Functions | |

Combinations of Functions: Composite Functions | |

Inverse Functions | |

Mathematical Modeling and Variation | |

Polynomial and Rational Functions | |

Quadratic Functions and Models Polynomial Functions of Higher Degree | |

Polynomial and Synthetic Division | |

Complex Numbers | |

Zeros of Polynomial Functions | |

Rational Functions | |

Nonlinear Inequalities | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Logarithmic Functions and Their Graphs | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models | |

Cumulative Test: Chapters 1–3 | |

Trigonometry Radian and Degree | |

Measure Trigonometric Functions: The Unit Circle | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Graphs of Sine and Cosine Functions | |

Graphs of Other Trigonometric Functions | |

Inverse Trigonometric Functions | |

Applications and Models | |

Analytic Trigonometry Using Fundamental | |

Identities Verifying Trigonometric | |

Identities Solving Trigonometric Equations | |

Sum and Difference Formulas | |

Multiple–Angle and Product–to–Sum Formulas | |

Law of Sines | |

Law of Cosines | |

Topics in Analytic Geometry | |

Lines Introduction to Conics: Parabolas Ellipses | |

Hyperbolas Parametric Equations | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Equations of Conics | |

Cumulative Test: Chapters 4–6 | |

A Review of Fundamental Concepts of Algebra (web) | |

Real Numbers and Their Properties Exponents and Radicals Polynomials and Factoring Rational Expressions Solving Equations | |

Solving Inequalities Errors and the Algebra of Calculus | |

Concepts in Statistics (web) | |

Representing Data Measures of Central Tendency and Dispersion Least Squares Regression | |

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