Online Class: Beginner to Intermediate Algebra

Course Lessons

• Lesson 1 – Algebra Terms and Motivation

  This lesson will introduce you to the essential terminology of algebra as well as the reasons why studying algebra is important and helpful.

• Lesson 2 – The Set of Real Numbers

  Now that you have gained a grasp of the essential purpose of and some of the important terms used in algebra, we can move on to study the subject in more depth.

• Lesson 3 – Algebraic Operations

  In this lesson, you will learn (or review) how to perform addition, subtraction, multiplication, and division in the context of algebra.

• Lesson 4 – Functions

  Once you have mastered the basic concepts associated with functions, you will then have all the tools you need to get into the more complicated (and more fun) aspects of algebra.

• Lesson 5 – Linear Equations

  This lesson will introduce you to linear equations, including their properties, graphs, and solutions.

• Lesson 6 – Linear Inequalities

  A slight twist on the concept of a linear equation is the linear inequality. Linear inequalities, instead of equating two functions, relate two functions in terms of their relative magnitudes.

• Lesson 7 – Systems of Linear Equations

  This lesson will teach you how to solve so-called systems of linear equations using substitution and will extend your understanding beyond simple equations in two dimensions to equations in many dimensions.

• Lesson 8 – Systems of Linear Inequalities

  As with systems of linear equations, we can also handle systems of linear inequalities.

• Lesson 9 – Solving Word Problems I

  This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world.

• Lesson 10 – Polynomial Functions

  This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world.

• Lesson 11 – Exponential and Logarithmic Functions

  Now that we have covered polynomials, we will look at a special class of functions that differ quite drastically: logarithmic and exponential functions.

• Lesson 12 – Polynomial Functions II

  In this lesson, we will learn how to find solutions to higher-degree polynomial equations.

• Lesson 13 – Application of Algebra to Geometry

  In this lesson, we will apply what we've learned about algebra to the study of geometry. If you've carefully followed the course up to this point, much of what is discussed here should hold no surprises for you.

• Lesson 14 – Application of Algebra to Statistics and Probability

  Although this lesson assumes some prior knowledge of probability and statistics, the concepts presented from these areas are relatively simple and understandable.