1 |
Class: Sections 1.1, 1.2 up to Theorem 1.15
Homework: Read in the lecture notes also the parts before Theorem 1.15 that I skipped, read also Definition 1.16 and Proposition 1.17. Make Exercises 1.1, 1.3. |
2 |
Class: Section 1.2 from Theorem 1,18, Section 1.3 and a very brief intro to Sections 2.1, 2.2
Homework: make Exercises 1.2, 1.4, 1.5 and read Section 2.1 (and have regularly a look at the corrections file under "Literature"). |
3 |
Class: Most of Sections 2.1, 2.2 (skip Proposition 2.10)
Homework: Exercises 2.1, 2.3, Extra exercise 1 |
4 |
Class: Section 3.1 up to Lemma 3.8
Homework: Make Exercise 3.1 and read Appendix A.4 |
5 |
Class: Section 3: Theorem 3.9, Section 4.1 and quick account of Section 4.2
Homework: Exercises 3.4 (alternatively you may finish the proof of Theorem 3.9 as a consequence of Additional exercise 2, which you have to make then), 4.1, 4.2 |
6 |
Class: Sections 5.1, 5.2
Homework: Exercises 5.2, 5.5 |
7 |
Class: Section 6.1
Homework: Exercises 6.2 (The limit in this exercise is of u(x), not of h(x) as I wrote before. I don't exclude that there is no fully satisfactory solution. Partial, incomplete, solutions are just as welcome. You may also make additional assumptions, if you think it is needed.), 6.3 |
8 |
Class: Sections 6.2, 7.1
Homework: Exercises 7.1, 7.3, 7.4 |
9 |
Class: Sections 7.2, 8.1 up to Proposition 8.7
Homework: Make exercises 7.5, 7.6, 7.7, 7.8 |
10 |
Class: Section 8.2 up to Lemma 8.11, remarks on Hahn-Banach
Homework: Read (not necessarily in depth) Section A.2 (the sets in Corollary A.8 are supposed to be disjoint!) and (in the update lecture notes) Lemma B.5. Make Exercises 8.1, 8.3. |
11 |
Class: Appendix B
Homework: no exercises, read the parts of Appendix B that I skipped |
12 |
Class: Sections 8.3, 8.4 (don't pay too much attention to the parts that I skipped)
Homework: Read Section 8.5, make Exercises 8.2, 8.5, 8.8 |
13 |
Class: parts of Sections 9.1, 9.2
Homework: Exercises 9.3 9.4, 9.6 |