MATH103: Advanced Problems in Algebra A

Course Description

This course covers fundamental concepts of algebra, including exponents and radicals, linear equations and inequalities, ratio and proportion, systems of linear equations, complex numbers, completing the square, and quadratic equations. Students are ready for this course if they have mastered arithmetic with fractions, decimals, percents, negative numbers, and integer exponents. Most students who have completed a typical Prealgebra course are ready for this course. This course is for advanced students who have mastered the essentials and are eager for a more challenging mathematical experience. 

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Topic 1 Follow the Rules
Topic 2 Fractional Exponents, Radicals, and Variables
Topic 3 Variables and Expressions
Topic 4 Linear Equations
Topic 5 More Variables
Topic 6 Linear Equations with Multiple Variables
Topic 7 Ratio and Percent
Topic 8 More Ratios and Proportion
Topic 9 Common Errors and Challenging Problems
Topic 10 Graphing Lines (Part 1)
Topic 11 Graphing Lines (Part 2) and Introduction to Inequalities
Topic 12 Graphing Inequalities
Topic 13 Quadratic Equations (Part 1)
Topic 14 Special Factorizations
Topic 15 Simon's Favorite Factoring Trick and Complex Numbers
Topic 16 Quadratic Equations (Part 2)