Basic Concepts of Algebr? | |

The Real-Number System? | |

Integer Exponents, Scientific Notation, and Order of Operations? | |

Addition, Subtraction, and Multiplication of Polynomials? | |

Factoring? | |

Rational Expressions? | |

Radical Notation and Rational Exponents? | |

The Basics of Equation Solving | |

Graphs , Functions, and Models | |

Introduction to Graphing | |

Functions and Graphs | |

Linear Functions, Slope, and Applications | |

Equations of Lines and Modeling | |

More on Functions | |

The Algebra of Functions | |

Symmetry and Transformations | |

Functions , Equations, and Inequalities | |

Linear Equations, Functions, and Models | |

The Complex Numbers | |

Quadratic Equations, Functions, and Models | |

Analyzing Graphs of Quadratic Functions | |

More Equation Solving | |

Solving Linear Inequalities | |

Polynomial and Rational Functions | |

Polynomial Functions and Models | |

Graphing Polynomial Functions | |

Polynomial Division; The Remainder and Factor Theorems | |

Theorems about Zeros of Polynomial Functions | |

Rational Functions | |

Polynomial and Rational Inequalities | |

Variation and Applications | |

Exponential and Logarithmic Functions | |

Inverse Functions | |

Exponential Functions and Graphs | |

Logarithmic Functions and Graphs | |

Properties of Logarithmic Functions | |

Solving Exponential and Logarithmic Equations | |

Applications and Models: Growth and Decay; Compound Interest | |

Systems of Equations and Matrices | |

Systems of Equations in Two Variables | |

Systems of Equations in Three Variables | |

Matrices and Systems of Equations | |

Matrix Operations | |

Inverses of Matrices | |

Determinants and Cramer's Rule | |

Systems of Inequalities and Linear Programming | |

Partial Fractions | |

Conic Sections | |

The Parabola | |

The Circle and the Ellipse | |

The Hyperbola | |

Nonlinear Systems of Equations and Inequalities | |

Sequences , Series, and Combinatorics | |

Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Mathematical Induction | |

Combinatorics: Permutations | |

Combinatorics: Combinations | |

The Binomial Theorem | |

Probability | |

Appendices | |

Basic Concepts of Geometry | |

Parametric Equations | |

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