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This online course is dedicated to solving linear systems of equations. It is partitioned into four sections to address the different techniques used to solve systems and the special cases that may arise. Each section contains notes, video tutorials, practice problems, answer keys, and self assessments. You may revisit this course and its assessments as often as you like, there is no limit on the number of times you can take an assessment.
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Course Description
Linear systems are used to compare two or more linear functions. The goal is to find a point of intersection, if one exists. This is important when analyzing many real-world situations like comparison shopping , finding the equilibrium point in a supply and demand chart, or solving for specific quantities of elements in a combination. Needless to say, there are so many scenarios that rely on solving linear systems that the topic can be found in other subject areas.
This course will explore linear systems in a variety of forms. There a three techniques used to solve linear systems they are (1) The Graphing Method (2) The Substitution Method, and (3) The Elimination Method. Additionally, this course explores the special cases that arise, and the conditions required for the special cases to exist. The special cases involve systems with no solution or systems with infinitely many solutions. Further, each topic will have self-assessments so you can monitor your mastery along the way, and finally, each topic will be connected to various real world application problems. It is important to study and apply mathematical skills to applications so that what you learn will have purpose and hopefully stir inspiration for your studying and mastering linear systems.
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