MATH 2318 - Linear Algebra

3 Credits (3 hrs. lec.) Matrices and linear systems, determinants, vector spaces, linear independence, basis and dimension, change of basis, linear transformations, similarity, inner product spaces, eigenvalues and eigenvectors, and diagonalization. Applications of these concepts will also be considered. (2701016319) Prerequisite: MATH 2414; College Level Readiness in Reading AND Writing
Course Outcomes
1 - Be able to solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
2 - Be able to carry out matrix operations, including inverses and determinants.
3 - Demonstrate understanding of the concepts of vector space and subspace.
4 - Demonstrate understanding of linear independence, span, and basis.
5 - Be able to determine eigenvalues and eigenvectors and solve problems involving eigenvalues.
6 - Apply principles of matrix algebra to linear transformations.
7 - Demonstrate application of inner products and associated norms.
8 - Construct proofs using definitions and basic theorems.