Free online courseMath Fundamentals Algebra

Course Description

Welcome to the Math Fundamentals Algebra course. This comprehensive course is dedicated to helping you build a solid foundation in algebra, making it ideal for beginners or anyone looking to refresh their algebra skills. The entire course spans 2 hours and 9 minutes, providing you with a concise yet thorough exploration of essential algebraic concepts.

The journey begins with a presentation to set the stage for what you will learn. Right from the start, you'll delve into algebraic equations with one unknown, including Ruffini's rule, which is a crucial technique for solving polynomial equations. Moving forward, the course takes you through linear equations, enhancing your understanding of equations of the first degree, and expands into systems of linear equations, laying the groundwork for more complex problem-solving.

The Gauss method is a highlight of the course, offering systematic approaches to solving linear systems. You'll also encounter practical examples of systems of linear equations with parameters to cement your comprehension of the Gauss method. The course then transitions into the realm of matrices, starting with a clear definition of what matrices are and progressing to operations you can perform with them, ensuring you gain familiarity with these fundamental mathematical structures.

As you advance, you'll explore regular matrices and matrix equations, learning how to handle these efficiently. A significant portion of the course is dedicated to determinants, which play a vital role in matrix algebra. Following this, you will study the concept of matrix range, enhancing your ability to analyze and manipulate matrices effectively.

The course also meticulously covers the calculation of inverse matrices, a key skill in advanced algebra. Finally, you'll master Cramer's rule, a powerful tool for solving systems of linear equations using determinants. Each topic is designed to build on the previous ones, creating a cohesive learning experience that ensures a deep understanding of algebraic fundamentals.

This Math Fundamentals Algebra course is meticulously structured to provide a clear, progressive, and practical approach to learning algebra. While it currently has no reviews, its comprehensive content and structured approach make it a valuable resource for anyone in the Basic Studies category, particularly those interested in Algebra. Enroll today and lay the foundation for your future success in mathematics.