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Graphs and Functions | |

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Rectangular Coordinates | |

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Introduction to Graphing Equations | |

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Intercepts | |

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Symmetry | |

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Graphing Key Equations | |

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Circles | |

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Functions | |

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The Graph of a Function | |

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Properties of Functions | |

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Library of Functions | |

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Piecewise-defined Functions | |

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Graphing Techniques: Transformations | |

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One-to-One Functions | |

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Inverse Functions | |

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Trigonometric Functions | |

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Angles and Their Measure | |

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Right Triangle Trigonometry | |

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Evaluating Trigonometric Functions of Acute Angles | |

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Evaluating Trigonometric Functions of General Angle | |

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Unit Circle Approach | |

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Properties of the Trigonometric Functions | |

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Graphs of the Sine and Cosine Functions | |

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Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |

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Phase Shift | |

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Building Sinusoidal Models | |

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Analytic Trigonometry | |

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The Inverse Sine, Cosine, and Tangent Functions | |

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The Inverse Trigonometric Functions (Continued) | |

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Trigonometric Identities | |

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Sum and Difference Formulas | |

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Double-angle and Half-angle Formulas | |

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Product-to-Sum and Sum-to-Product Formulas | |

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Trigonometric Equations (I) | |

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Trigonometric Equations (II) | |

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Applications of Trigonometric Functions | |

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Applications Involving Right Triangles | |

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The Law of Sines | |

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The Law of Cosines | |

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Area of a Triangle | |

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Simple Harmonic Motion | |

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Damped Motion | |

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Combining Waves | |

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Polar Coordinates | |

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Vectors | |

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Polar Coordinates | |

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Polar Equations and Graphs | |

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The Complex Plane | |

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DeMoivre's Theorem | |

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Vectors | |

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The Dot Product | |

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Vectors in Space | |

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The Cross Product | |

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Analytic Geometry | |

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Conics | |

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The Parabola | |

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The Ellipse | |

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The Hyperbola | |

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Rotation of Axes | |

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General Form of a Conic | |

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Polar Equations of Conics | |

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Plane Curves and Parametric Equations | |

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Exponential and Logarithmic Functions | |

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Exponential Functions | |

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Logarithmic Functions | |

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Properties of Logarithms | |

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Logarithmic and Exponential Equations | |

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Financial Models | |

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Exponential Growth and Decay Models | |

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Newton's Law | |

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Logistic Growth and Decay Models | |

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Building Exponential, Logarithmic, and Logistic Models from Data | |

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Review | |

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Algebra Essentials | |

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Geometry Essentials | |

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Factoring Polynomials | |

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Solving Equations Algebraically | |

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Solving Equations Using a Graphing Utility | |

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Complex Numbers | |

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Quadratic Equations in the Complex Number System | |

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Interval Notation | |

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Solving Inequalities | |

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n th Roots | |

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Rational Exponents | |

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Lines | |

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Building Linear Models from Data | |