Math 7320, section 12118 - Fall 2004

Functional Analysis

Teacher Evaluations

The Mathematics Department will collect the evaluations via an online form.
See http://online.math.uh.edu.

I handed in the grades Monday, Dec. 13. You can recover them from the VIP system (hopefully in a few days).
I will not be able to send you the grade by e-mail.

If you want to see your final exam, or me, please come after the start of the Spring semester. Have a pleasant vacation!

• Classes: 1:00-2:30pm MoWe, 350 PGH
• Instructor: Andrew Török
• Office: 672 PGH
• Phone: (713) 743-3478
• E-mail: torok@math.uh.edu
• Office hours: see the home-page
• Policy, with course description

Exams

• Exam I: Wednesday, Oct. 20
  • The exam will cover all the material up to and including section 2.4 (we will finish it in class).
  • Please BRING YOUR STUDENT I.D.
  • Monday, 10/18: look at the problems from Chapter 2 that are marked with a + in the HW table below.
  • I left in your mailbox a few pages (from Royden) about product measures.
    I marked the exercises that discuss the hypotheses of Tonelli and Fubini.

• Exam II: Monday, Nov. 29
  • It will be a take-home exam, due on Wednesday, Dec. 1.
  • Mon., 11/29: look at the problems from Chapter 3 in the "do not hand in" column. We will continue with the sections 3.12 - 3.14.

• Final Exam: Wednesday, December 8, 2-5 pm, in 646 PGH
  • It will be an open-book, in-class exam.
    You can bring the textbook, and any of your own notes (from this or other courses). These should be your own work.
    Examples of what is NOT ALLOWED: xerox copies of other books, (xerox copies of) notes taken by somebody else.
    However, handouts received at a course can be brought to the exam.
  • It will be comprehensive.

Assignments

Section 3.4 denotes chapter 3, section 4.
Exercise 4 in section 1.2 is refered to as E 1.2.4.
Statements from the text (theorems, examples, etc.) are refered to by their number only (e.g., 2.1.3 stands for Example 1.3 in Chapter 2).

Please write the solutions on separate pages (i.e., do not hand in a note-book).

Some of the problems might have the answer or a hint in the textbook. If you have to hand in such a problem, you are welcome to use the hint but have to still write a complete solution.
More difficult problems are marked by a ^*.

HOMEWORKS
HW #	Section	HAND IN	Solve only, do not hand in
1. (due Sept. 1)		inner products
2. (due Sept. 15)	1.1	4, 6	8, 10, 11
	1.2	1	2, 3, 5, 6
3. (due Oct. 6)	1.3	6	3, 5
	1.4	11	9, 13, 14, 17
	1.5		4, 5, 8, 9
	1.6		2+
	2.1	6 (hint), 7	8+, 9+ (see E 1.5.8)
	2.2	12	3, 4, 6, 7+, 13+, 15+
4. (due Oct. 20)	2.3	4(a) (hint), and these	2, 3, 11+
	2.4	1, 4	3+, 6 (use 8; second part is hard?), 7, 8+, 10, 11, 12, 14 (w/o the nonseparable case)
5. (due Nov. 3; extended to Nov. 8)	3.1	12	5, 6 (without a, b), 8, 13*, 15, 16
	3.2	2	1, 5, 6
	3.3		1 (this is also proven in Rudin, for TVS)
	3.4	5	7, 10, 12, 16
	3.5		5, 6, 7; inverse limits
6. (due Nov. 17)	3.6	4	6, 7, 8, 10
	3.7		1
	3.10
	3.11		3, 4
	3.12	3, 4	1, 5, 6, 7
	3.13	4	2, 5
7. (due Nov. 29)	3.14	6, 9	3, 4, 8, 10

NOTE: you have to prove all statements, unless they were discussed in class, or are part of the previous homework assignments.

Last modified: