Preliminary Concepts | |

The Real Number System | |

Integer and Rational Number Exponents | |

Polynomials | |

Factoring | |

Rational Expressions | |

Complex Numbers | |

Equations and Inequalities | |

Linear and Absolute Value Equations | |

Formulas and Applications | |

Quadratic Equations | |

Other Types of Equations | |

Inequalities | |

Variation and Applications | |

Functions and Graphs | |

A Two Dimensional Coordinate System and Graphs | |

Introduction to Functions | |

Linear Functions | |

Quadratic Functions | |

Properties of Graphs | |

The Algebra of Functions | |

Modeling Data Using Regression | |

Polynomial and Rational Functions | |

The Remainder Theorem and the Factor Theorem | |

Polynomial Functions of Higher Degree | |

Zeros of Polynomial Functions | |

The Fundamental Theorem of Algebra | |

Graphs of Rational Functions and Their Applications | |

Exponential and Logarithmic Functions | |

Inverse Functions | |

Exponential Functions and Their Applications | |

Logarithmic Functions and Their Applications | |

Properties of Logarithms and Logarithmic Scales | |

Exponential and Logarithmic Equations | |

Exponential Growth and Decay | |

Modeling Data with Exponential and Logarithmic Functions | |

Trigonometric Functions | |

Angles and Arcs | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Trigonometric Functions of Real Numbers | |

Graphs of the Sine and Cosine Functions | |

Graphs of the Other Trigonometric Functions | |

Graphing Techniques | |

Harmonic Motion--An Application of the Sine and Cosine Functions | |

Trigonometric Identities and Equations | |

Verification of Trigonometric Identities | |

Sum, Difference, and Cofunction Identities | |

Double- and Half-Angle Identities | |

Identities Involving the Sum of Trigonometric Functions | |

Inverse Trigonometric Functions | |

Trigonometric Equations | |

Applications of Trigonometry | |

The Law of Sines | |

The Law of Cosines and Area | |

Vectors | |

Trigonometric Form of Complex Numbers | |

De Moivre's Theorem | |

Topics in Analytic Geometry | |

Parabolas | |

Ellipses | |

Hyperbolas | |

Rotation of Axes | |

Introduction to Polar Coordinates | |

Polar Equations of the Conics | |

Parametric Equations | |

Systems of Equations and Inequalities | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in More than Two Variables | |

Nonlinear Systems of Equations | |

Partial Fractions | |

Inequalities in Two Variables and Systems of Inequalities | |

Linear Programming | |

Matrices | |

Gaussian Elimination Method | |

The Algebra of Matrices | |

The Inverse of a Matrix | |

Determinants | |

Cramer's Rule | |

Sequences, Series, and Probability | |

Infinite Sequences and Summation Notation | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Mathematical Induction | |

The Binomial Theorem | |

Permutations and Combinations | |

Introduction to Probability | |

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