MATH 260 - Linear Algebra

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 260. A Student Learning Outcome is a measurable outcome statement about what a student will think, know, or be able to do as a result of an educational experience. Course Measurable Objectives focus more on course content, and can be considered to be smaller pieces that build up to the SLOs.

Student Learning Outcomes (SLOs)

1. Students can solve problems pertaining to the definitions of vector space, subspace, span, linear independence and dependence.
2. Students can solve problems pertaining to the definitions of linear transformation, kernel, and range.
3. Students can solve problems pertaining to eigenvalues and eigenvectors. 

Course Measurable Objectives (CMOs)

1. Compute matrix algebra operations, row operations for linear systems, and the methods of Gaussian elimination and matrix inversion for solving linear systems.
2. Evaluate determinants using cofactors and row operations.
3. Demonstrate properties of determinants and matrix inversion using cofactors.
4. Solve problems pertaining to the definitions of vector space, subspace, span, linear independence and dependence, basis and dimension, row and column space, and inner product space.
5. Demonstrate use of Gram-Schmidt process for orthogonalization.
6. Solve problems pertaining to the definitions of linear transformation, inverse transformation, kernel and range, and matrices of general linear transformations. 
7. Compute matrix representations of linear transformations.
8. Solve problems pertaining to eigenvalues and eigenvectors. 
9. Demonstrate diagonalization of square matrices with the special case of orthogonal diagonalization of symmetric matrices.