Math 315 Linear Algebra

Course Description

(3-0) 3 credits. Prerequisite: MATH 225 or permission of instructor. Course topics include: the theory and applications of systems of linear equations, matrices, determinants, vector spaces, linear transformations and applications.

Couse Learning Outcomes

A student who successfully completes this course should be able to:

  1. use the standard language and notation of linear algebra appropriately
  2. solve a system of linear equations using Gaussian Elimination
  3. demonstrate an understanding of the fundamental matrix concepts of inverse, rank, and nullspace
  4. demonstrate an understanding of the fundamental concepts of vector space, subspace, basis, and dimension
  5. compute determinants, eigenvalues, and eigenvectors, and use eigenvectors to diagonalize a matrix
  6. use basic orthogonality principles such as least squares, the Gram-Schmidt process, and/or the QR factorization of a matrix