Menu:
- my publications on the arXiv
- my public calendar
Please fill in my informal survey; it's just a chance for you to give anonymous feedback about my teaching. I'm happy to try to make changes! There'll be an official ANU survey later.
Lecture notes
- 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) (notes on the Stone-Weierstrass theorem)
- 12. Banach spaces
- (lecture notes) (printable)
Problem sets
Assignments
- Assignment 1, due 5pm August 15. (sample solutions)
- Assignment 2, due 5pm September 22. (sample solutions)
- Assignment 3, due 5pm October 3.
- Assignment 4, due noon November 7. (sample solutions)
References
You may find this list of reference books useful.Essay topics
- Suggested essay topics and instructions. Four example essays from previous years are available on Wattle.
A draft of your essay is due October 17 and the final essay is due October 31 (the Friday of 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.
Final exam
I have posted some questions I decided not to use on the final exam. Here are sample solutions for the final exam.