Course Description
Linear algebra from an applied and computational viewpoint. Linear equations, vector spaces, linear transformations; linear independence, basis, dimension; orthogonality, projections, and least squares solutions; eigenvalues, eigenvectors, singular value decomposition. Applications to science and engineering.
Athena Title
Applied Linear Algebra
Equivalent Courses
Not open to students with credit in MATH 3000, MATH 3300
Non-Traditional Format
This course will be taught 95% or more online.
Prerequisite
MATH 2260 or MATH 2260E or MATH 2310H or MATH 2410 or MATH 2410H
Grading System
A - F (Traditional)
Course Objectives
Students will be able to solve systems of linear equations using echelon form, matrix inversion, and matrix factorizations. Students will understand the significance of determinants and be able to compute them. Students will be able to compute eigenvalues and eigenvectors of a matrix and use the eigensystem and singular value decomposition to solve applied problems.
Topical Outline
Linear equations and matrix equations. Matrix operations and inversion. Matrix factorizations. Dimension and rank. Determinants. Eigenvectors and Eigenvalues. The singular value decomposition. Applications.