403 – Advanced linear algebra

Math 403/503: Advanced linear algebra.

Instructor: Andrés E. Caicedo.
Contact Information: See here.
Time: MW 1:30 – 2:45 pm.
Place: Business, Room 204.
Office Hours: Th 3-4:30 (starting Jan. 31), or by appointment (email me a few times/dates you have available).

There is no official textbook. A pdf of Uwe Kaiser‘s notes can be found here and the TeX source here. I will provide handouts of material not covered by these notes.

Contents: The department’s course description reads:

Concepts of linear algebra from a theoretical perspective. Topics include vector spaces and linear maps, dual vector spaces and quotient spaces, eigenvalues and eigenvectors, diagonalization, inner product spaces, adjoint transformations, orthogonal and unitary transformations, Jordan normal form.

The way we will develop the theory is by studying examples of some of its typical applications, and then covering the topics needed to understand these examples.

Grading: Based on homework. Details of homework policy will be given in due time. I expect there will be no exams, but if we see the need, you will informed reasonably in advance.

I post links to supplementary material on Google+. Circle me and let me know if you are interested, and I’ll add you to my Linear Algebra circle.

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