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

Prerequisites | |

Review of Real Numbers and Their Properties | |

Solving Equations | |

The Cartesian Plane and Graphs of Equations | |

Linear Equations in Two Variables | |

Functions | |

Analyzing Graphs of Functions | |

A Library of Functions | |

Transformations of Functions | |

Combinations of Functions: Composite Functions | |

Inverse Functions | |

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 | |

Additional Topics in Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors in the Plane | |

Vectors and Dot Products Cumulative Test: Chapters 1–3 | |

Complex Numbers | |

Complex Numbers | |

Complex Solutions of Equations | |

Trigonometric Form of a Complex Number | |

DeMoivre's Theorem | |

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 | |

Topics in Analytic Geometry | |

Lines | |

Introduction to Conics: Parabolas | |

Ellipses | |

Hyperbolas | |

Rotation of Conics | |

Parametric Equations | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Equations of Conics Cumulative Test: Chapters 4–6 | |

Appendix | |

Concepts in Statistics (web) | |

Representing Data | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression | |

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