1 |
Class: Williams sections 1.2 - 1.6, 1.8 (partly), 1.9, 1.10, A1.2 - A1.4 ,2.1, 2.2, and parts of 2.3, 2.6, 2.9
Homework: From Chapter 1: 1, 2, 3, 6 (see ps and pdf files above) |
2 |
Class: Williams sections 2.3, 2.6 - 2.8 chapter 3 (with the
exception of 3.13 and 3.14), 4.1, 4.2, 4.3
Homework: Make four exercises from the set "Chapter 2: 1, Chapter 3: 1, 3, 4, 5, Chapter 4: 1" |
3 |
Class: Williams sections 5.1-5.7, 5.9, 5.10 (partly)
Homework: Make four exercises from the set "Chapter 4: 3 and Chapter 5: all"; read sections 6.1 and 6.2 to become familiar with the new notation. |
4 |
Class: Williams sections 6.6, 6.7, 6.12 (briefly), 6.13, 8.1 and a sketch of 8.2
Homework: Make three exercises from "Chapter 6: 3, 4, 6 and Chapter 8: 4"; read sections 1 and 2 from the Radon-Nikodym lecture notes as a preparation for next week. |
5 |
Class: Williams sections 8.3, 8.4, 8.5, Radon-Nikodym (lecture notes) sections 4, 5 for positive measures (all here and there rather sketchy)
Homework: Make two exercises from "Chapter 8: 1, 3, 5, 6" and two from "Radon-Nikodym: 7.5, 7.9, 7.11" |
6 |
Class: Williams sections
9.1, 9.2 (via Radon-Nikodym), 9.4, 9.6, 9.7, 9.8, 9.10 (slightly different)
Homework: Read section 9.9; make four exercises from "Chapter 9: "2, 3, 4, 5, 6, 7" |
7 |
Class: Williams sections 10.1-10.10, 11.1-11.5, 11.7
Homework: Make four exercises from "Chapter 10: 1, 2, 3 and Chapter 11: 1, 2, 4" |
8 |
Class: Williams chapter 13 and sections 14.1, 14.2, 14.4
Homework: Make four exercises from "Chapter 13: 1, 2, 3, 4, 5, 7" |
9 |
Class: Williams sections 14.3, 14.5-14.6, 14.10-14.11, 14.12
Homework: Make four exercises from "Chapter 14: 2, 4, 5, 6, 7, 8" |
10 |
Class: Williams sections 17.1 - 17.5 (last section very briefly)
Homework: Make four exercises from "Chapter 17: 1, 2, 3, 6, 7, 8" |
11 |
Class: "Central limit theorem" (lecture notes), section 2 and Williams sections 16.1 and 16.2.
Homework: From the lecture notes exercise 4.7 and three exercises out of 4.1, 4.2, 4.3, 4.4 |
12 |
Class: Williams, sections 16.4a, 16.6, 18.1, 18.4 and "Central limit theorem" (lecture notes), section 3.
Homework: From the lecture notes exercises 4.5, 4.6 and 4.8 or 4.9 |
13 |
Class: Weak convergence and Brownian Motion (lecture notes in ps
and in pdf)
Homework: None |