About This Course

This course is designed to provide the learners a solid understanding of the concepts of Linear Algebra, an indespensable part of both the fields of Computer Science and Mathematics. This is an undergraduate course for students of Engineering, Science, and Mathematics. Linear algebra is the study of linear systems of equations, vector spaces, and linear transformations. Solving systems of linear equations is a basic tool of many mathematical procedures used for solving problems in science and engineering.

This course, designed for independent study, can be divided into four interconnected parts

• The First Part covers basics of Linear Transformations, basics of matrix theory, and systems of linear equations as well as how to solve them using the elimination process.
• The Second Part covers concepts of vector-spaces and subspaces. It also covers vector projection
• The Third Part covers a few ideas and approches of data science that are based on Linear Algebra.
• The Fourth Part will be Fourier Analysis taught as a stand alone topic.