| Date |
Sections covered |
Suggested assignments | Comments |
| Aug. 28 |
Chapter
1 sections 1-3 |
3-5, 6, 7, 9-11, 13, 16-18 |
|
| Aug. 30 |
sections 3, 4 |
19 |
|
| Sep. 4 |
section 6 |
22-25 |
Homework
1: Due Tue. Sep. 11 Pbs 18 and 24 from Chapter 1. |
| Sep. 5 |
Chapter
2 sections 1-4 |
7-17 |
|
| Sep. 11 |
sections 4-5 |
24-39 |
Sections 4, 5, 6 of Chapter 2
are an essential review for what's to come. Try to solve as many problems from the suggested assignment as you can. Ideally, you should do them all! |
| Sep. 13 |
section 5 |
||
| Sep. 18 |
section 6 |
40-45 |
|
| Sep. 20 |
Chapter
3 sections 1-2 |
1-8 |
Homework
2: Due Thu. Sep. 27 Pbs 35, 36 from Chapter 2 Pbs 4, 8 from Chapter 3 (chapters were posted incorrectly earlier!) |
| Sep. 25 |
section 3 |
9-14 |
|
| Sept. 27 |
section 3 |
Homework
3: Due. Thu. Oct. 11 Pbs 6, 13 from Chapter 3 |
|
| Oct. 2 |
section 4 |
15 |
|
| Oct. 4 |
section 5 |
18-21, 23* |
|
| Oct. 9 |
section 6 |
24, 25, 26, 29 |
Homework4:
Due Thu. Oct. 18 Pbs. 24, 25, 29 |
| Oct. 11 |
Chapter
4 section 1 |
1 |
|
| Oct. 16 |
section 2 |
||
| Oct. 18 |
section 2 |
Midterm
on Thursday, Oct. 25 covers all we did up to (including) section 2 of Chapter 4. |
|
| Oct. 23 |
Review |
||
| Oct. 25 |
Midterm |
||
| Oct. 30 |
section 3 |
3-9 |
|
| Nov. 1 |
section 4 |
10, 12-16, 18, 19 |
Homework
5: Due Tue. Nov. 6 Pbs. 14, 19 |
| Nov. 6 |
overview of Chapter 11 |
||
| Nov. 8 |
section 5 of Chapter 5 |
23-28 (from Chapter 5) |
|
| Nov. 13 |
Chapter
6 sections 1, 2 |
1-4, 6-8 |
|
| Nov. 15 |
section 3 |
9-18 |
|
| Nov. 20 |
Lebesgue criterion for Riem. integrability |
||
| Nov. 22 |
no class |
Happy Thanksgiving! | |
| Nov. 27 |
part of section 4 |
||
| Nov. 29 |
part of section 5 Hilbert spaces Chp. 10, section 8 |
50, 51!, 53, 55 |
"!" denotes an important problem |
| Dec. 4 |
Chp 10, section 8 |
see above |
|
| Dec. 6 (last class) |
Review |
Possible theoretical topics for
the final: Fatou's Lemma (4.3.9), Monotone Conv. Thm. (4.3.10), Lebesgue Conv. Thm (4.4.16), Jensen's inequality (Prop. 5.5.20), Minkowski and Holder inequality (section 6.2 or see the notes) Riesz-Fischer Thm. (6.3.6) Riesz representation Thm for a Hilbert space (Prop. 10.8.28) |
|
| Dec. 13 |
Final
exam - 17:00-19:45 regular room |
||