Introduction to Functional Analysis 325b/525b

Spring 2016 

Michael Magee 

418 Dunham Labs

michael.magee@yale.edu

Textbook

Béla Bollobás, Linear Analysis: an introductory course, 2nd ed. 

Syllabus

Syllabus. 

Past and Practice Exams

Midterm. 

Practice Final questions 

Problem sets

I'll post the problem sets here as they become available.

Problem set 1. 

Problem set 2. 

Problem set 3. 

Problem set 4. 

Problem set 5. 

Final assignment

Write an essay that is around 3 pages (12 point font, 1 inch margin) on a topic of your choice in Functional Analysis.

The essay should have some mathematical and historical content.

The Mathematical content can just be explaining the idea of a proof (in a mathematically precise way of course).

*Please check your topic with me before beginning*

If you are finding it hard to come up with a topic, contact me and I'll help you come up with one.

The Scottish Book. 

List of topics in functional analysis (Wiki) 

Schedule

We meet for Lecture in LOM 206, usually on Monday and Wednesday from 1.00pm to 2.15pm.

The following is the Schedule for the class. 

Lecture 01. 20th Jan. 

Lecture 02. 22nd Jan. *Note this is on Friday* 

Lecture 03. 25th Jan. 

Lecture 04. 27th Jan. 

Monday 1st Feb rescheduled

Lecture 05. 3rd Feb.

Lecture 05. 5th Feb. Problem set 1 due. *Note this is on Friday*

Lecture 07. 8th Feb. 

Lecture 08. 10th Feb. 

Lecture 09. 15th Feb. 

Lecture 10. 17th Feb. Problem set 2 due.

Lecture 11. 22nd Feb. 

Lecture 12. 24th Feb. 

Lecture 13. 29th Feb.  

Lecture 14. 2nd Mar. Problem set 3 due.

Midterm. 7th Mar. 

Lecture 15. 9th Mar. 

Spring Break

Lecture 16. 28th Mar. 

Lecture 17. 30th Mar.

Lecture 18. 4th Apr. 

Lecture 19. 6th Apr.Problem set 4 due.

Lecture 20. 11th Apr. 

Lecture 21. 13th Apr.

Lecture 22. 18th Apr. 

Lecture 23. 20th Apr.Problem set 5 due

Lecture 24. 25th Apr. 

Lecture 25. 27th Apr. Final assignment due

Reading Period