The Fundamentals of Algebra Topic is intended to provide a review of many of subject matters within Algebra.

The Fundamentals of Algebra videos include the following sections:

1. Basic Mathematics

   This section explores the essential skills found within Algebra that are focused towards a student preparing for Calculus.  This section includes: Simplifying Rational Exponents and Radicals, Using the Binomail Theorem to Expand Expressions, Factoring Polynomials, Solving Equations, Simplifying Complex Numbers, and Solving Equations With Complex Solutions.

2. Real Numbers and Inequalities

   This section explores the concepts of inequalities including solving inequalities and interval notation.  This section includes: Writing Inequalities Using Interval Notation, Writing Intervals as Inequalities, Solving Inequalities, Writing Expressions Without Absolute Value Symbols, Solving Absolute Value Equations, Solving Absolute Value Inequalities, and Comparing Real Numbers.

3. The Cartesian Plane

   This section explores the fundamental skills behind understanding the Cartesian Plane.  This section includes: Determining the Quadrant a Point Lies In, Finding the Distance Between Two Points Using the Distance Formula, Determining If a Triangle is a Right Triangle Using the Distance Formula, Using the Distance Formula to Determine if Points are Collinear, Using the Distance Formula to Solve Equations, Using the Distance and Midpoint Formulas to Solve Applications, Reflecting Graphs Using Symmetry, Determining Equations of Circles, Graphing Ellipses, and Graphing the Set of Points That Satisfy Conditions.

4. Lines

   This section explores the Algebra of lines.  This section includes: Finding the Slope of a Line, Finding the Equation of a Line Satisfying Conditions, Graphing Lines, Identifying Slopes and Intercepts, and Finding a Value To Satisfy Conditions.

5. Matrices and Determinants

   This section explores the Algebra of Matrices.  This section include: Determining the Size of a Matrix, Determining If Two Matrices are Equal, Determining Values to Make Two Matrices Equal, Calculating Entries of Matrices, and Performing Matrix Arithmetic.