Linear Algebra-Course Overview

Course Synopsis

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. The goals of this subject are, how we can use Linear Algebra and its numerical applications in different fields.

Course Learning Outcomes

Upon completing this course students should be able : To master the techniques for solving systems of linear equations. To introduce matrix algebra as a generalization of single-variable algebra of high school. To build on the background in Euclidean space and formalize it with vector space theory. To relate linear methods to other areas of mathematics such as calculus and differential equations. To develop an appreciation for how linear methods are used in a variety of applications.