Course syllabus

Exercises in parenthesis are useful but challenging.

Lecture 1 (23). Chapter 1.1 and 1.2. Recommended exercises 1.1: 1,2,3,4. 1.2: 1,2,3,6,7,9.

Less important: 1.1.6 and 1.1.7.

Lecture 2. (27) Chapter 1.3 and 1.4. Recommended exercises 1.3: 1,2,3, (5,6), 7. 1.4: 1.

We covered so far: 1.3.1-1.3.6, 1.4.1-1.4.4, 1.4.8-1.4.9.

Less important:1.3.9-1.3.10

Lecture 3. (30) Chapter 1.4 and 1.5. Recommended exercises 1.4: 3,4,5. 1.5: 1,2,3,4,10.

1.3.7-1.3.8. 1.4.5-1.4.7, 1.5.

Less important: 1.4.10-1.4.11.

Lecture 4. (3) Chapter 2.1. Recommended exercises 2.1: 2, 3, 5.

Less important:

Lecture 5. (6) Chapter 2.2 and 2.3. Recommended exercises 2.2: 1, 3, 6. 2.3: 1, 2, 3, 5. 

Less important:

Lecture 6. (10) Chapter 2.4. Recommended exercises 2.4: 1, 7, 8. Additional exercises 1

Less important:

Lecture 7. (13) Chapter 2.5 and 2.6. Recommended exercises 2.4: 9,10,11. 2.5: 3-8. 2.6: 2,7.

Less important:

Lecture 8. (17) Chapter 3.1. Recommended exercises 3.1: 1-6. Additional exercises 2

Less important:

Lecture 9. (20) Cancelled class.  

Less important:

Lecture 10. (24) Chapter 3.2-3.3. Recommended exercises 3.2: all if you are not familiar with basic Banach and Hilbert space theory. 3.3: 1, 2, 3, 4, (7), 8, (9).

Less important:

Lecture 11. (27) Chapter 3.4. Recommended exercises 3,4:1, 2, 3, 4, 5. Additional exersises 3

Less important: Prop 3.4.5, just learn that Lp on the reals with Lebesgue measure is separable.

Lecture 12. (2) Chapter 5,1 and 1.6. Recommended exercises 5.1: 1, 2, 3, 5. 1.6: 1, 3. 

Less important:

Lecture 13. (5) Chapter 5.2. Recommended exercises 1, 2, 3.

Less important:

Lecture 14. (9) Chapter 5.3. Recommended exercises 1, 2, 3, 6, 7.

Less important: Prop 5.3.3.

Lecture 15. (12) I will solve old exams 190413 and if we have time also the one from 2017.

Lecture 16. (16) Old exams

Lecture 17. (17) Recap and preparation oral exam.