Functions, Graphs, and Models | |

Using Graphing Utilities | |

Functions | |

Functions: Graphs and Properties | |

Functions: Graphs and Transformations | |

Operations on Functions; Composition | |

Inverse Functions | |

Modeling with Linear and Quadratic Functions | |

Linear Functions | |

Linear Equations and Models | |

Quadratic Functions | |

Complex Numbers | |

Quadratic Equations and Models | |

Additional Equation-Solving Techniques | |

Solving Inequalities | |

Polynomial and Rational Functions | |

Polynomial Functions and Models | |

Real Zeros and Polynomial Inequalities | |

Complex Zeros and Rational Zeros of Polynomials | |

Rational Functions and Inequalities | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Exponential Models | |

Logarithmic Functions | |

Logarithmic Models | |

Exponential and Logarithmic Equations | |

Trigonometric Functions | |

Angles and Their Measure | |

Trigonometric Functions: A Unit Circle Approach | |

Solving Right Triangles | |

Properties of Trigonometric Functions | |

More General Trigonometric Functions and Models | |

Inverse Trigonometric Functions | |

Trigonometric Identities and Conditional Equations | |

Basic Identities and Their Use | |

Sum, Difference, and Cofunction Identities | |

Double-Angle and Half-Angle Identities | |

Product-Sum and Sum-Product Identities | |

Trigonometric Equations | |

Additional Topics in Trigonometry | |

Law of Sines | |

Law of Cosines | |

Geometric Vectors | |

Algebraic Vectors | |

Polar Coordinates and Graphs | |

Complex Numbers in Rectangular and Polar Forms | |

De Moivre's Theorem | |

Modeling with Linear Systems | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations and Augmented Matrices | |

Gauss-Jordan Elimination | |

Systems of Linear Inequalities | |

Linear Programming | |

Matrices and Determinants | |

Matrix Operations | |

Inverse of a Square Matrix | |

Matrix Equations and Systems of Linear Equations | |

Determinants | |

Properties of Determinants | |

Determinants and Cramer's Rule | |

Sequences, Induction, and Probability | |

Sequences and Series | |

Mathematical Induction | |

Arithmetic and Geometric Sequences | |

Multiplication Principle, Permutations, and Combinations | |

Sample Spaces and Probability | |

Binomial Formula | |

Additional Topics in Analytic Geometry | |

Conic Sections; Parabola | |

Ellipse | |

Hyperbola | |

Translation of Axes | |

Rotation of Axes | |

Nonlinear Systems | |

Review of Equations and Graphing | |

Linear Equations and Inequalities | |

Cartesian Coordinate System | |

Basic Formulas in Analytic Geometry | |

Special Topics | |

Significant Digits | |

Partial Fractions | |

Descartes' Rule of Signs | |

Parametric Equations | |

Geometric Formulas | |

Table of Contents provided by Publisher. All Rights Reserved. |