- Basic Algebra Operations
- Algebra and Real Numbers
- Exponents
- Radicals
- Polynomials: Basic Operations
- Polynomials: Factoring
- Rational Expressions: Basic Operations
- Equations and Inequalities
- Linear Equations and Applications
- Linear Inequalities
- Absolute Value in Equations and Inequalities
- Complex Numbers
- Quadratic Equations and Applications
- Graphs
- Cartesian Coordinate System
- Distance in the Plane
- Equation of a line
- Linear Equations and Models
- Functions
- Functions
- Graphing Functions
- Transformations of Functions
- Quadratic Functions
- Operations on Functions; Composition
- Inverse Functions
- Polynomial and Rational Functions
- Polynomial Functions and Models
- Real Zeros and Polynomial Inequalities
- Complex Zeros and Rational Zeros of Polynomials
- Rational Functions and Inequalities
- Variation and Modeling
- Exponential and Logarithmic Functions
- Exponential Functions
- Exponential Modeling
- Logarithmic Functions
- Logarithmic Modeling
- Exponential and Logarithmic Equations
- Trigonometric Functions
- Angles and Their Measure
- Trigonometric Functions: Unit Circle Approach
- Solving Right Triangles
- Properties of Trigonometric Functions
- General Trigonometric Functions and Models
- Inverse Trigonometric Functions
- Trigonometric Identities and Conditional Equations
- Basic Identities
- Sum, Difference, and Cofunction Identities
- Double-Anlge and Half-Angle Identities
- Product-Sum and Sum-Product Identities
- Trigonometric Equations
- Additional Topics in Trigonometry
- Law of Sines
- Law of Cosines