Lectures

This is only a rough outline to give an idea of what I plan to cover.

1. [September 5] Spaces of continuous functions
2. [September 10] Outer measures and measures
3. [September 12] Caratheodory's theorem
4. [September 17] Integration
5. [September 19]
6. [September 24] Riesz representation
7. [September 26] Hilbert space
8. [October 1] Test functions
9. [October 3] Tempered distributions
10. [October 8] Convolution
11. [October 10]
12. [October 15] [Columbus Day Holiday]
13. [October 17] Fourier transform
14. [October 22]
15. [October 24] Sobolev spaces
16. [October 29]
17. [October 31] Differential operators
18. [November 5] Parametrices
19. [November 7]
20. [November 12] Ellipticity
21. [November 14] Heat equation
22. [November 19] Homogeneous distributions
23. [November 21] Wave equation
24. [November 26] Smoothing operators
25. [November 28] [Thanksgiving Holiday]
26. [December 3] Fredholm determinant
27. [December 5]
28. [December 10] IN CLASS FINAL