MATH 4330

Honors Linear Algebra

Course Description

Course information provided by the Courses of Study 2024-2025.

Honors version of a course in advanced linear algebra, which treats the subject from an abstract and axiomatic viewpoint. Topics include vector spaces, linear transformations, polynomials, determinants, tensor and wedge products, canonical forms, inner product spaces, and bilinear forms. Emphasis is on understanding the theory of linear algebra; homework and exams include at least as many proofs as computational problems.

When Offered Fall.

Prerequisites/Corequisites Prerequisite: high level of performance in MATH 2210, MATH 2230, MATH 2310, MATH 2940, or equivalent.
Forbidden Overlaps Forbidden Overlap: due to an overlap in content, students will receive credit for only one course in the following group: MATH 4310, MATH 4330.

Distribution Category (SMR-AS) (MQL-AG, OPHLS-AG)

Comments Strong proficiency in writing proofs is expected. More experience with proofs may be gained by first taking a 3000-level MATH course. MATH 4330–MATH 4340 is recommended for undergraduates who plan to attend graduate school in mathematics. For a less theoretical course that covers approximately the same subject matter as MATH 4330, see MATH 4310.

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