MATH 315 Linear Algebra and Applications
The need to solve systems of linear equations frequently arises in mathematics, the physical sciences, engineering and economics. In this course we study these systems from an algebraic and geometric viewpoint. Topics include systems of linear equations, matrix algebra, Euclidean vector spaces, linear transformations, linear independence, dimension, eigenvalues and eigenvectors.
Note: Students whose prerequisites are not identified by the system should contact the Math and Statistics Department for an override at MATH@metrostate.edu.
Prerequisites
Special information
4 Undergraduate credits
Effective August 1, 1998 to present
Meets graduation requirements for
Learning outcomes
General
- Demonstrate algebraic and geometric understanding of properties of linear systems, matrix algebra, linear independence, dimension, coordinate systems, eigenvalues and eigenspaces, diagonalization, and the spectral theorem.
- Demonstrate sophisticated comprehension of linear transformations and the algebraic and geometric structures of subspaces and linear spaces.
- Formulate and structure mathematical proofs.
- Successfully apply linear algebra concepts to mathematically model and analyze problems of current interest in the sciences, economics, engineering, and technology.
Spring 2025
| Section | Title | Instructor | books | eservices |
|---|---|---|---|---|
| 01 | Linear Algebra and Applications | Wei, Wei | Books for MATH-315-01 Spring 2025 | Course details for MATH-315-01 Spring 2025 |
Fall 2025
| Section | Title | Instructor | books | eservices |
|---|---|---|---|---|
| 01 | Linear Algebra and Applications | Wagstrom, Rikki B | Books for MATH-315-01 Fall 2025 | Course details for MATH-315-01 Fall 2025 |