Course Contents at a Glance

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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