Dave4Math / Courses / Fundamental Concepts of Algebra

Fundamental Concepts of Algebra

Master the fundamental concepts of algebra. Learn all about real numbers, radical expressions, polynomials, and solving equations. With this course, you'll be skilled in the basics of algebra.


January 11, 2021

Created by Dave

This course begins Summer 2021.
Current Status
Not Enrolled
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Every house has some kind of foundation. Without a strong foundation, your home would crumble or sink into the ground. Introducing Dave’s online math course: Fundamental Concepts of Algebra. In this course, you’ll learn the basics so you can build a successful career, and you’ll be inspired so you can keep building your skills.

Who This Course is For

  • Students in college who want to learn more mathematics.
  • Anyone interested in the fundamental concepts of algebra.
  • Students who are enrolled in precalculus and want to improve their grade.
  • Anyone interested in getting prepared for calculus 1.
  • Anyone wanting to learn about real numbers, exponents and radicals, polynomials and factoring, rational expressions, and the Cartesian plane.


There is no required textbook, though you will need an up-to-date web browser, paper, and pen. A hand-held scientific calculator of your choice is required.

What You’ll Learn in Fundamental Concepts of Algebra

  • Real Numbers
  • Ordering Real Numbers
  • Absolute Value and Distance
  • Algebraic Expressions
  • Basic Rules of Algebra
  • Integer Exponents
  • Scientific Notation
  • Radicals and Their Properties
  • Simplifying Radicals
  • Rational Exponents
  • Polynomials
  • Operations with Polynomials
  • Special Products
  • Factoring
  • Factoring Special Polynomial Forms
  • Trinomials with Binomial Factors
  • Factoring by Grouping
  • Domain of an Algebraic Expression
  • Simplifying Rational Expressions
  • Operations with Rational Expressions
  • Complex Fractions
  • The Cartesian Plane
  • The Midpoint Formula
  • The Equation of a Circle

Course Description

There is no recommended prerequisites for this course. If you’re not sure if this course is for you, checkout the course contents below or find out more by checking out my free precalculus articles.

Course Content

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David A. Smith

Mathematics Educator

I sincerely believe that the potential in every student can be unlocked. As an accomplished and dedicated instructor, I have firm confidence that I can provide significant value to your studies.

I relish teaching and use it as a channel for my creativity as I seek to deliver real-life and relevant connections between the mathematics that I teach and my students. Promoting an active learning environment and excitement about mathematics is my dream come true.

David Smith (Dave) has a B.S. and M.S. in Mathematics and has enjoyed teaching precalculus, calculus, linear algebra, and number theory at both the junior college and university levels for over 20 years. David is the founder and CEO of Dave4Math.