Math 240B Homework (Winter 02)
Click on the highlighted link to retrieve the homework assignment. You should
look try all of the problems assigned but only hand in those problems with
a "*" on them.
- Homework #1 is due Monday January 14. Do the
following exercises from and Chapter
7b of the notes.
Chapter 7b: 7.5*, 7.6,
7.7*, 7.11, 7.15*
- Homework #2 is due Wed January 23. Do the
following exercises from Chapter3c
and Chapter 8b of the
notes.
Chapter3c:
3.7
Chapter 8b:
8.1--8.3, 8.4*, 8.5*, 8.8, 8.9*, 8.10*, 8.11*
- Homework #3 is due Friday February 1. Do the
following exercises from Chapter 8
and Chapter 9 of the
notes.
Chapter 8b: 8.11*,
8.12*, 8.13, 8.14* (Note 8.12 -- 8.14 are new exercises. Click here
to get the problems.)
Chapter 9:
9.1, 9.4*, 9.5*, 9.6
- Homework #4 is due Friday February 8.
Chapter 9:
9.2, 9.3*.
The following problems are taken from the file hm4.pdf.
(The last two pages of this file are some added notes about essential
supports that I covered in class.)
hm4.pdf:
9.4, 9.5*, 9.9*, 9.10*, 9.11*, 9.12*
- Homework #5 is due Friday February 15. Do the following problems.
From hm5sup:
9.12*, 9.13.
From lecture notes, Chapter
10: 10.1, 10.2, 10.3*, 10.4*, 10.5*, 10.6*, 10.10* (Postponed)
The midterm will be on Wednesday, February 20.
- Homework #6 is due Monday February 25. Do the following problems:
From lecture notes, Chapter
10: 10.6*, 10.10*, 10.11*, 10.12*, 10.14, 10.15*, 10.22*
- Homework #7 is due Wednesday March 6. Do the following problems:
From lecture notes,
Chapter 10
Addendum: 10.22, 10.23*, 10.24*, 10.25*, 10.26*, 10.27*,
10.28*, 10.29*, 10.31, 10.32*, 10.33*
Corrections:
In 10.23, the sum should be over k in Z^d not Z.
In 10.24, assume that f is 2m -- continuously differentiable and |\alpha|<=
2m.
In 10.26, assume that F^ is in l^1(Z^d) not l^1(N^d) as stated in
the problem.
- Homework #8 is due Wednesday March 13. Do the following problems:
From Lecture notes
Chapters 11-12 do 11.6*, 11.7*, 11.8, 11.9*, 11.10*, 11.11.
Corrections to Problems 11.10 and 11.11 are in
the following file:
Chapter 11 fix.
Remarks on Homework
The homework is an important part of this class. The
homework is your best chance to learn the material in this course. You may
consult others on the problems, but in the end you are responsible for
understanding the material. I suggest that you try all the problems on your own
before consulting others. Even false starts on problems will help you learn.
Dan Curtis is the grader for this course. Here is
what he will be looking for in your solutions.
- The solutions must be written clearly. This includes good
handwriting and good English. If I have to struggle to read what
you have written, I will not grade the problem!
- The solutions should be complete and clear. A good rule of
thumb is: if you have some doubt about your solution it is probably wrong
or at best incomplete.
- Results that you use in your proof from undergraduate
analysis or from the text book or the notes should be stated clearly. Here
is an example of what I am looking for:
… So we have shown that f_{n} converges to f
uniformly. Since each f_{n} is continuous and the uniform
limit of continuous functions is continuous, we know that f is
continuous.
The reference to a theorem from undergraduate analysis is in
Italics. |