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