MT 330 - Linear Algebra for Applications

This course serves as a cornerstone for students pursuing majors in Mathematics, Engineering, and beyond, offering a rich exploration of essential concepts and their practical implications.

Linear Algebra, at its core, is the art of unraveling complex systems through the lens of mathematical elegance. In this course, students will master the art of solving systems of Linear Equations, a fundamental skill for anyone navigating the realms of Mathematics and Engineering. The primary focus of this course is not only on the "how" but delving into the "why" that underlies these problem-solving techniques.

The course content is about matrices, Gaussian elimination, vector spaces, LU-decomposition, orthogonality, Gram-Schmidt process, determinants, inner products, eigenvalue problems, applications to differential equations and Markov processes.

By the end of this course, students will not only be proficient in the technical aspects of solving and manipulating systems but will also possess an in-depth understanding of the theoretical underpinnings. This knowledge will empower them to apply linear algebraic concepts to real-world challenges, bridging the gap between abstraction and practicality.