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 0: [Part 1] Algebra Essentials

• 0.1   Real Numbers
• 0.2   Exponents and Scientific Notation
• 0.3   Radicals and Rational Exponents

Module 0: [Part 2] Polynomial and Rational Expressions

• 0.4   Polynomial Basics
• 0.5   Factoring Polynomials
• 0.6   Rational Expressions

Module 1: Functions and Graphs

• [Review] R.1   Functions and Domain/Range
• 1.1   Characteristics of Functions and Their Graphs
• 1.2   Domain and Range of Functions
• 1.3   Points and Lines in the Plane
• 1.4   Rates of Change and Behavior of Graphs
• 1.5   Symmetry of a Function
• 1.6   Transformations of Functions
• 1.7   Solving Equations and Inequalities using Graphs of Functions

Module 2: Equations and Inequalities

• [Review] R.2.1    Equations
• [Review] R.2.2   Formulas and Inequalities
• Equation-Solving Techniques
• Models and Applications
• Quadratic Equations
• Linear Inequalities and Absolute Value Inequalities

Module 6: Algebraic Operations on Functions

• Compositions 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