MAT 202H - Linear Algebra - Honors

4 credit hours - Four hours weekly; one term.
This is an honors course.

This course meets the Mathematics General Education Requirement.

Study vector spaces and linear transformations on finite-dimensional vector spaces. Topics include linear systems, matrices, determinants, inner product spaces and eigenvalues.

 

Prerequisite(s): Eligibility for Honors courses; MAT 191  or MAT 191H  or equivalent.

Crosslisted: Also offered as MAT 202 ​; credit is not given for both MAT 202  and MAT 202H.

Note: Extra assignments and class meetings may be required. Typically offered at MC and OL; fall, spring, and summer terms.

Course Outcomes:

• Solve systems of linear equations using a variety of matrix algebra techniques.
• Use the properties of matrix operations, inverses, and determinants to solve matrix algebra problems.
• Find the dimension and bases for a variety of vector spaces and subspaces.
• Use the properties of inner product spaces to create an orthonormal basis, find the angle between vectors, and check for orthogonality.
• Analyze the properties of transformations in function notation, prove linearity or nonlinearity, and write its matrix representation.
• Find and apply the eigenvalues and eigenvectors of a linear transformation.
• Prove basic theorems of linear algebra.
• Apply the techniques of linear algebra to solve problems from the physical and social sciences.