MT 330 - Linear Algebra

Linear Algebra is the branch of mathematics that involves the study of solving systems of Linear Equations, vector spaces and linear mappings. The mastery of the subject is essential to any major related to applied and pure Mathematics and in particular to Engineering.

In this course, students will become proficient in the techniques of solving and manipulating systems. A particular focus of the course will be upon the applications of linear algebra to various Engineering fields. Among the most salient goals of the course will be an in-depth understanding of the primary theories as to why the techniques function as they do.

In particular, the course content covered during the semester is: Matrices, Determinants, Gaussian elimination, vector spaces, Linear Transformations, LU-decomposition, orthogonality, Gram-Schmidt process, inner products, eigenvalue problems, applications to differential equations and Markov processes.