Abbreviations below: PS=PostScript, DVI=Device Independent
(LaTeX output), HTML=Hypertext Markup Language (i.e., usual
web format), PDF=Adobe Portable Document Format (viewed with
Adobe Acrobat or Acrobat Reader).
You probably have Adobe Acrobat Reader on your computer --
if not, you can download it at no charge from
Adobe.
You can view the information sheet for the course in PDF or HTML or DVI format.
Jump to Notes ****** Jump to Homework
The final exam will be on Monday, May 13 from 12:30-2:30 pm. It will cover material from Chapters 5 through 9 in the notes. (It will be comprehensive.)
The midterm exam will be on Thursday, March 28. It will cover material from Chapters 5, 6, and 7 in the notes.
View the notes for the class in PDF format:
These are fairly large files, and may take some time to
load, especially over a modem. They may appear to be blank
or only partially loaded for some time.
The notes may undergo revision from time to time, without announcement.
Table of Contents & Index
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
If you want to view the notes from Math 631 during Fall 2001, look here.
If you're interested in notes from the previous time I taught this class, look here for Math 631, Fall 1999 and look here for Math 632, Spring 2000
Ninth (and final!) homework assignment due by Friday, May 10 at noon in
my office
Chapter 9 #19,21,22
Eighth homework assignment due Tuesday, April 30
Chapter 8 #76,86
Seventh homework assignment due Tuesday, April 23
Chapter 8 #39,41,48,54a,55,57,71(2)
Note: 71(2) means prove part (2) of Theorem 5.20
Sixth homework assignment due Thursday, April 11
Chapter 8 #23,26,29
Fifth homework assignment due Thursday, April 4
Chapter 8 #5a,6b,9a,14
Note: Recall the definitions: x^(n+1)=x^n*x and
x^(-n)=(x^(-1))^n for n>0.
In doing 5a, don't use 5b unless you prove it.
In doing 6b, you may assume 6a and all of 5.
Fourth homework assignment, due Thursday, March 14
Chapter 7 #3a,5,7,8
(Note on 8: it's easy - but prove it - to see that W is a subset of (W perp)perp. The inclusion (W perp)perp contained in W is the key one.)
Third homework assignment, due Tuesday, March 5
Chapter 6 #16a,19,20,24,26
Second homework assignment, due Thursday, February 21
Chapter 5 #23a,32,39 and Chapter 6 #8b,11,12,13
First homework assignment, due Tuesday, February 5
Chapter 5 #4,6bde,9bd,16,18,24
Note on #9 & 24 - V must be the space of all infinitely
differentiable functions on [0,1]