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.

Location(s) Typically Offered: Arnold Main Campus (MC) and Online (OL)

Term(s) Typically Offered: Fall, spring, and summer

Course Outcomes:
Upon successful completion of this course, the student will be able to:

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.