| |

| |

| |

Equations, Inequalities, and Modeling | |

| |

| |

Equations in One Variable | |

| |

| |

Constructing Models to Solve Problems | |

| |

| |

Equations and Graphs in Two Variables | |

| |

| |

Linear Equations in Two Variables | |

| |

| |

Scatter Diagrams and Curve Fitting | |

| |

| |

Complex Numbers | |

| |

| |

Quadratic Equations | |

| |

| |

Linear and Absolute Value Inequalities | |

| |

| |

| |

Functions and Graphs | |

| |

| |

Functions | |

| |

| |

Graphs of Relations and Functions | |

| |

| |

Families of Functions, Transformations, and Symmetry | |

| |

| |

Operations with Functions | |

| |

| |

Inverse Functions | |

| |

| |

Constructing Functions with Variation | |

| |

| |

| |

Polynomial and Rational Functions | |

| |

| |

Quadratic Functions and Inequalities | |

| |

| |

Zeros of Polynomial Functions | |

| |

| |

The Theory of Equations | |

| |

| |

Miscellaneous Equations | |

| |

| |

Graphs of Polynomial Functions | |

| |

| |

Rational Functions and Inequalities | |

| |

| |

| |

Exponential and Logarithmic Functions | |

| |

| |

Exponential Functions and Their Applications | |

| |

| |

Logarithmic Functions and Their Applications | |

| |

| |

Rules of Logarithms | |

| |

| |

More Equations and Applications | |

| |

| |

| |

The Trigonometric Functions | |

| |

| |

Angles and Their Measurements | |

| |

| |

The Sine and Cosine Functions | |

| |

| |

The Graphs of the Sine and Cosine Functions | |

| |

| |

The Other Trigonometric Functions and Their Graphs | |

| |

| |

The Inverse Trigonometric Functions | |

| |

| |

Right Triangle Trigonometry | |

| |

| |

| |

Trigonometric Identities and Conditional Equations | |

| |

| |

Basic Identities | |

| |

| |

Verifying Identities | |

| |

| |

Sum and Difference Identities | |

| |

| |

Double-Angle and Half-Angle Identities | |

| |

| |

Product and Sum Identities | |

| |

| |

Conditional Trigonometric Equations | |

| |

| |

| |

Applications of Trigonometry | |

| |

| |

The Law of Sines | |

| |

| |

The Law of Cosines | |

| |

| |

Vectors | |

| |

| |

Trigonometric Form of Complex Numbers | |

| |

| |

Powers and Roots of Complex Numbers | |

| |

| |

Polar Equations | |

| |

| |

Parametric Equations | |

| |

| |

| |

Systems of Equations and Inequalities | |

| |

| |

Systems of Linear Equations in Two Variables | |

| |

| |

Systems of Linear Equations in Three Variables | |

| |

| |

Nonlinear Systems of Equations | |

| |

| |

Partial Fractions | |

| |

| |

Inequalities and Systems of Inequalities in Two Variables | |

| |

| |

The Linear Programming Model | |

| |

| |

| |

Matrices and Determinants | |

| |

| |

Solving Linear Systems Using Matrices | |

| |

| |

Operations with Matrices | |

| |

| |

Multiplication of Matrices | |

| |

| |

Inverses of Matrices | |

| |

| |

Solution of Linear Systems in Two Variables Using Determinants | |

| |

| |

Solution of Linear Systems in Three Variables Using Determinants | |

| |

| |

| |

The Conic Sections | |

| |

| |

The Parabola | |

| |

| |

The Ellipse and the Circle | |

| |

| |

The Hyperbola | |

| |

| |

Rotation of Axes | |

| |

| |

Polar Equations of the Conics | |

| |

| |

| |

Sequences, Series, and Probability | |

| |

| |

Sequences | |

| |

| |

Series | |

| |

| |

Geometric Sequences and Series | |

| |

| |

Counting and Permutations | |

| |

| |

Combinations, Labeling, and the Binomial Theorem | |

| |

| |

Probability | |

| |

| |

Mathematical Induction | |

| |

| |

Appendix: Basic Algebra Review | |

| |

| |

Real Numbers and Their Properties | |

| |

| |

Exponents and Radicals | |

| |

| |

Polynomials | |

| |

| |

Factoring Polynomials | |

| |

| |

Rational Expressions | |