Advanced math scares a lot of students as it’s not the easiest subject to learn on your own. However, a linear algebra course is a requirement for a lot of professions, from engineers and computer programming professions. Students who are seeking to change their degree or need extra help sometimes consider taking online classes. Online linear algebra course for college credit gives you numerous advantages over your peers. 

For some people mastering linear algebra sounds intimidating. It is definitely a challenge for the brain, even for gifted math students. Nevertheless, in this article, you’ll come across a brief introduction to linear algebra and discover the benefits and requirements for online class format education. 

Field of linear Algebra: a brief introduction

As a mathematical discipline, linear algebra is considered to be fundamental for the machine learning specialization. Besides that, linear algebra is quite a broad subject on its own, including many theoretical dogmas.

The main focus of linear algebra is data. That’s why linear algebra concepts and foundations are rooted in statistics, finance, and economics. It's a subject for training analytical and logical skills that are highly important in future professional careers. 

With online linear algebra courses, students master the geometry of linear algebra, the theoretical concepts and rules for the investigation of linear space, and methods of searching for solutions to equations of linear systems. 

Simple linear equations are used to make 2D graphs. The number of possible solutions grows to an infinite number. The key to solving linear equations is to find the best fitting solution, even if it means it won't solve all unknown vectors. 

Systems of linear algebraic equations can be divided into different types based on the number of possible solutions:

• Compatible system ( with at least one solution);
• Determinate system (a linear system that has a unique solution);
• Indeterminate system ( with more than one solution);
• The contradictory system, also known as incompatible ( with no solutions);

Example of complicated graphs in Mathematica. Source https://www.distancecalculus.com/linearalgebra/ 

As Linear Algebra gets complicated, using computer software programs makes the educational process more visual and efficient. 

Who would succeed in a linear algebra online course?

That’s true that to get into the class, and students need to have already accomplished prerequisite levels of math before. Commonly completed Calculus II would be enough for enrollment. However, no Calculus is used while learning linear algebra. Undoubtedly, being confident in differential and integral calculus would still make understanding linear algebra easier, but it’s a totally different math subject. Having Calculus I and Calculus II credits before applying for an online linear algebra course would still be a requirement for most schools. 

Fields where linear algebra is essential

Even though linear algebra is a part of mathematics fields of study, it is still used in various domains, from statistics to engineering. Concepts of linear algebra as well used in economics and finance for building up and analyzing trends. Graphs are used for network analysis. Physicists use linear algebra in theoretical physics. Simultaneously, linear algebra is the beginning of machine learning and linear programming. 

In computer science, the field of math is basic knowledge. Linear algebra is essential in computer graphics for rotating, rescaling, and translating images. It’s used for programming search engines and coding videos or audios.

Benefits of an online course

It’s tempting to self-teach a subject that you feel passionate about. Nevertheless, linear algebra is advanced math and could be challenging and longer to learn on your own. With online courses, students have a combination of both. 

• Students are in charge of their schedules while having reasonable deadlines for assignments. 
• The textbooks and video lectures are usually accessible at any time. 
• The considerable advantage of having a teacher to assist you. Clear communication between teachers and students helps you to progress faster.

Most educational platforms offer PDF textbooks and video lectures. Some online classes have so-called homework notebooks where teachers can leave their comments and corrections. Professional schools with a modern approach to the teaching process are offering students linear algebra courses using computer algebra software. 

Example of graph analysis in Mathematica. Source https://www.distancecalculus.com/linearalgebra/ 

For learning linear algebra, the best program is Mathematica. To get a handle on the mathematics of data, using a special program should be a must. The working process is more efficient and faster and gives students the skill of applying linear algebra in real-life situations. 

Conclusion

No matter how hard it may sound and seems, it is possible to self-teach yourself the basic concepts of linear algebra. Despite that, linear algebra includes vast fields of mathematical concepts and tends to get complex and elaborate. Those students who are interested in learning linear algebra not only for gaining extra skill but for credit in college or university should consider enrolling in an online course. 

Online linear algebra course offers students:

• assistance from the teachers;
• The modern and innovative approach to math learning;
• Analytical skills to be able to apply linear algebra in future academic or professional career;
• College credit;
• Open doors to various fields of study.