| Math 555 | WINTER 2015 |
|---|---|
| LINEAR ANALYSIS | |
| Instructor: | James Burke | TA: | Tvrtko Tadic | E-Mail: | burke@math.washington.edu | E-Mail: | tadic@math.washington.edu |
|---|---|---|---|---|---|---|---|
| Office: | C-443 Padelford | Office: | C-404 Padelford | Office Hours: | Mon. \& Wed. 1:30-2:20 | Office Hours: | Thur. 4:00-6:00pm |
| Phone: | 543-6183 |
A supplementary book on ODES might also be helpful. For example, the book by Coddington \& Levinson is very good.
Math 555 is the second quarter of a three-quarter sequence covering advanced linear algebra and matrix analysis, ordinary differential equations (existence and uniqueness theory, linear systems, numerical approximations), Fourier analysis, introductions to functional analysis and partial differential equations, distribution theory. The topics covered in the second quarter are (1) more on ODEs, (2) an overview of Lebesgue integration on real n-dimensional space, (3) Hilbert Spaces, (4) Fourier series, (5) Fourier transforms and convolutions, (6) compact operators and the spectral theory of bounded linear operators.
Homework: 85% -- Final Exam: 15%
Final Exam:
There is a take-home final exam distributed at the beginning of the last week of classes (Mon. March 9). The final exam and will consist of questions similar to those that are to be found on the preliminary exam for this course content.
Incomplete:
A grade of Incomplete will be given only if a student is doing satisfactory work up until the end of the quarter, and then misses the final exam due to a documented medical or family emergency.
Office hours will be held immediately following class on Mondays and Wednesdays You may also make an appointment to see me at another time. In addition, if I am in my office and not otherwise occupied, you can stop by my office to ask questions. I prefer that you not drop by just before class as I am usually preparing the lecture at that time.
Holidays: Monday, January 19, M.L.~King Day: Monday, February 16, Presidents Day.
Final Exam: To be distributed Monday March 9 and collected Friday March 13.