Review | |

Real Numbers | |

Algebra Essentials | |

Geometry Essentials | |

Polynomials | |

Factoring Polynomials | |

Synthetic Division | |

Rational Expressions | |

nth Roots; Rational Exponents | |

Graphs, Equations, and Inequalities | |

Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations | |

Solving Equations Using Graphing Utility; Linear and Rational Equations | |

Quadratic Equations | |

Complex Numbers; Quadratic Equations in the Complex Number System | |

Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations | |

Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs | |

Solving Inequalities | |

Graphs | |

Intercepts and Symmetry; Graphing Key Equations | |

Lines | |

Circles | |

Variation | |

Functions and Graphs | |

Functions | |

The Graph of a Function | |

Properties of Functions | |

Library of Functions; Piecewise-Defined Functions | |

Graphing Techniques: Transformations | |

Mathematical Models: Building Functions | |

Linear and Quadratic Functions | |

Linear Functions,Their Properties, and Linear Models | |

Building Linear Models from Data | |

Quadratic Functions and Their Properties | |

Building Quadratic Models from Verbal Descriptions and from Data | |

Inequalities Involving Quadratic Functions | |

Polynomial and Rational Functions | |

Polynomial Functions and Models | |

Properties of Rational Functions | |

The Graph of a Rational Function | |

Polynomial and Rational Inequalities | |

The Real Zeros of a Polynomial Function | |

Complex Zeros: Fundamental Theorem of Algebra | |

Exponential and Logarithmic Functions | |

Composite Functions | |

One-to-One Functions; Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Logarithmic and Exponential Equations | |

Financial Models | |

Exponential Growth and Decay; Newton s Law; Logistic Growth and Decay | |

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

Analytic Geometry | |

Conics | |

The Parabola | |

The Ellipse | |

The Hyperbola | |

Systems of Equations and Inequalities | |

Systems of Linear Equations: Substitution and Elimination | |

Systems of Linear Equations: Matrices | |

Systems of Linear Equations: Determinants | |

Matrix Algebra | |

Partial Fraction Decomposition | |

Systems of Nonlinear Equations | |

Systems of Inequalities | |

Linear Programming | |

Sequen | |

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