Mathematics 25A

Theoretical Linear Algebra and Real Analysis I (110808)

Thibault Decoppet

2025 Fall (4 Credits)

Schedule: MWF 1030 AM - 1145 AM

Instructor Permissions: None

Enrollment Cap: n/a

A rigorous treatment of linear algebra. Topics include: Construction of number systems; fields, vector spaces and linear transformations; eigenvalues and eigenvectors, determinants and inner products. Metric spaces, compactness and connectedness.

Course Notes:

Expect to spend a lot of time doing mathematics.

Recommended Prep:

5 on the Calculus BC Advanced Placement Examination and some familiarity with writing proofs, or the equivalent as determined by the instructor.

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