- my publications on the arXiv
- my public calendar

Please fill in the SELT survey; you should have received an email about
it, or you can access it from your Wattle overview page. It's important to
me that you call fill this out!
## Lecture notes

## Problem sets

## Assignments

## Essay topics

## Final exam

- 0. Towards functional calculus
- (lecture notes) (printable)
- 1. Hilbert spaces
- (lecture notes) (printable)
- 2. Compact operators
- (lecture notes) (printable)
- 3. A review of calculus
- (lecture notes) (printable)
- 4. Fourier transform
- (lecture notes) (printable)
- 5. Fundamental solutions
- (lecture notes) (printable)
- 6. The Dirichlet problem
- (lecture notes) (printable)
- 7. Measure theory
- (lecture notes) (printable)
- 8. Integration theory
- (lecture notes) (printable)
- 9. Function spaces
- (lecture notes) (printable)
- 10. Radon-Nikodym derivatives
- (lecture notes) (printable)
- 11. Spectral theory
- (lecture notes) (printable)
- 12. Banach spaces
- (lecture notes) (printable)

- Assignment 1, due noon August 16.
- Assignment 2, due noon September 6.
- Assignment 3, due 5pm October 4.
- Assignment 4, due 5pm November 1.

- Suggested essay topics and instructions. An example essay from a previous year is available on Wattle.

A draft of your essay is due October 11 (end of week 10) and the final essay is due October 25 (end of week 11, the last week of classes). You're also welcome to come talk to me about your essay at any time, and ask for feedback on preliminary drafts. The essay is a substantial part of your assessment, and starting to think about it early will really pay off --- it should take some time to digest the material you're going to present, and work out the best way to explain it.

You can see the questions that I decided *not* to use on the final
exam. These are not representative of the actual questions!