The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents.

## Module 1: Algebra Essentials

- Real Numbers
- Exponents and Scientific Notation
- Radicals and Rational Exponents

## Module 2: Polynomial and Rational Expressions

- Polynomial Basics
- Factoring Polynomials
- Rational Expressions

## Module 3: The Rectangular Coordinate System and Equations of Lines

- Points and Lines in the Plane
- Equations of Lines

## Module 4: Equations and Inequalities

- Equation-Solving Techniques
- Models and Applications
- Quadratic Equations
- Linear Inequalities and Absolute Value Inequalities

## Module 5: Function Basics

- Characteristics of Functions and Their Graphs
- Domain and Range of Functions
- Rates of Change and Behavior of Graphs

## Module 6: Algebraic Operations on Functions

- Compositions of Functions
- Transformations of Functions
- Inverse Functions

## Module 7: Linear and Absolute Value Functions

- Linear Functions
- Graphs of Linear Functions
- Modeling With Linear Functions

## Module 8: Quadratic Functions

- Complex Numbers
- Graphs of Quadratic Functions
- Analysis of Quadratic Functions

## Module 9: Power and Polynomial Functions

- Characteristics of Power and Polynomial Functions
- Graphs of Polynomial Functions
- Divide Polynomials
- Methods for Finding Zeros of Polynomials

## Module 10: Rational and Radical Functions

- Rational Functions
- Radical Functions
- Variation

## Module 11: Exponential and Logarithmic Functions

- Exponential Functions
- Graphs of Exponential Functions
- Logarithmic Functions
- Graphs of Logarithmic Functions

## Module 12: Exponential and Logarithmic Equations and Models

- Logarithmic Properties
- Exponential and Logarithmic Equations
- Exponential and Logarithmic Models

## Module 13: Systems of Equations and Inequalities

- Systems of Linear Equations: Two Variables
- Systems of Nonlinear Equations and Inequalities
- Systems of Linear Equations: Three Variables
- Partial Fractions: an Application of Systems

## Module 14: Solve Systems With Matrices

- Matrices and Matrix Operations
- Gaussian Elimination
- Solve Systems with Inverses

## Module 15: Conic Sections

- The Ellipse
- The Hyperbola
- The Parabola

## Module 16: Sequences and Series

- Sequences and Their Notations
- Arithmetic Sequences
- Geometric Sequences
- Series and Their Notations

## Module 17: Probability and Counting Principles

- Counting Principles
- Probability