MA 405. Advanced Linear Algebra

Pre-requisites: MA 225 and (MA 305 or MA 306/493)

Course description: This course offers a rigorous, proof-based study of linear algebra with an emphasis on abstract vector spaces and linear maps. Topics include vector spaces and subspaces, bases and dimension; linear maps, matrix representations, change of basis, and isomorphisms; eigenvalues, eigenvectors, and diagonalization; inner product spaces, orthogonality, and the Gram–Schmidt process; and selected topics including the spectral theorem and singular value decomposition. Credit is not allowed for both MA 405 and MA 520.

Enrollment: Students who are unable to enroll in MA 405 for the Fall 2026 semester should submit an enrollment request using this form : https://forms.gle/YfJSfDaJAiBuwgC2A

Options for students interested in enrolling in MA 405:

1. Complete MA 225 and MA 305, followed by MA 405.
2. Self-study the MA 305 and attempt the credit-by-exam or placement during the first week of classes.
3. For students who do not plan to take MA 225, a placement test will be available during the first week of classes to determine whether their proof-writing background is sufficient for MA 405.