(12/7) The final exam will be posted here on Monday
morning, December 11. You will have until Friday, December 15,
at noon to turn in your solutions.
If you are interested in doing a CAMCOS project with me or
someone else, it's a good idea (plus you get free food) to come to
the CAMCOS reports
day, tomorrow (12/8) 10:30-noon. You can also check out my CAMCOS
web page from Spring 2006.
Also, Homework 9 solutions have been posted.
(12/1) Here's a flyer for Math 131B. Hope to see many of you
in that class in the Spring!
Also, homework 8 solutions have been posted.
And finally, here are my office hours after December 7:
Friday, 12/8: 1:30-4
Monday, 12/11: 2-4
Wednesday, 12/13: 2-4
Friday, 12/15: 12:30-2:30
Don't forget to let me know if you are planning to do the
presentation!
(11/29) Here are some notes on the
Gauss map, covering some of the material I mentioned in class that's
not in Pressley.
(11/25) Solutions to Homework 7 have been
posted, as well as the last homework assignment, Homework 10, which is due on Monday, December
4.
Btw, I will bring the SOTE (Student Opinions of Teaching
Effectiveness) forms on Monday, December 4.
(11/20) As I said in class, you can volunteer to give a
15-20 minute presentation for a maximum of 10 extra points. Here's a
list of topics you can choose from, all from Pressley:
- 8.3 Geodesics on surfaces of revolution: focus on
Prop. 8.5 and Example 8.8.
- 8.5 Geodesic coordinates: statement and proof of Prop. 8.7
and Example 8.10.
- 9.1 Plateau's problem: statement (no proof) of Theorem 9.1
and Example 9.1.
- 9.2 Examples of minimal surfaces: focus on Prop. 9.1 and
9.2 (no proof of the second one), and Examples 9.2 and 9.3.
- 10.2 Isometries of surfaces: the whole section.
The presentation dates will be December 13 and 15, time TBA,
although if you're ready sooner, we may be able to arrange something
at an earlier date. Please let me know if and what you would like to
present. Note that this is completely voluntary!
Also, I have decided to hold a take-home final exam, most
likely from December 11 to 15.
(11/16) Homework 9 has been posted and is
due on November 27.
(11/15) Solutions to Homework 6 have
been posted.
(11/7) Homework 8 has been posted and is
due on November 15.
(11/3) On Monday, November 6, I'll be at USC, so Professor
Schmeichel will substitute for me. He will discuss the midterm
problems but you will be able to volunteer to solve one problem each
on tehe board (he'll write down the names of the volunteers for
me). Then he will talk about the first fundamental form and section
5.1. Please read 5.1 and start reading 5.2.
Plase turn in Homework 7 to Jeffra in MH 308. I'll post the next
homework soon.
(11/1) Midterm 2 solutions have been
posted.
(10/29) The first problem in Homework 7
has been corrected. The homework is now due on Monday, November 6.
(10/28) Solutions to Homework 5 have been
posted.
Midterm 2 will cover chapters 3 and 4 from Pressley. The best
thing you can do to prepare is review the theory and especially go
over all the homework problems. Problems on the midterm will be very
much like those homework problems that take a reasonably short amount
of time to solve. I would also recommend that you look at exercises
4.7, 4.8, and 4.20.
As before, you are allowed to bring one 3 X 5 inch index card
with your notes.
(10/26) Homework 7 has been posted and is
due on November 1. I'll post a midterm review soon.
(10/18) Homework 6 has been posted and is
due on October 25.
(10/17) Solutions to Homework 4 have been
posted. Check out exercises 3.1 and 3.6; my solutions are a bit
different from yours.
(10/10) Homework 3 solutions have been
posted.
(10/8) Homework 5 has been posted and is
due on October 16.
(10/4) Today I forgot to say that rewrites of Homework 3
are due on Monday, October 9.
(10/3) Solutions to Homework 2 have
(finally) been posted. Tomorrow (10/4) I will have no office hours in
the morning - sorry about that.
(10/1) Homework 4 has been posted and is
due on October 9.
(9/29) Midterm 1 solutions have been
posted.
(9/23) Recall that the first midterm (on 9/27) will cover
Chapters 1 and 2 from Pressley. There will be four problems. It is a
closed-book and no-calculators exam. However, you can bring your notes
written on one 3 X 5 inch index card.
To review for the midterm, I suggest that you first go over the
main results, then go over the homework, and then try a practice
midterm. You can design one (just pick 4 problems from the book, from
different sections), or you can try this one: exercises 1.11, 1.15,
2.12, and 2.14(ii).
(9/18) Regarding our discussion of Theorem 2.1 today in
class, observe the following: (1) the whole proof of Theorem 2.1 does
go through for any smooth function k (positive or
not), i.e., there exists a curve whose signed curvature is k
and every two curves with the same signed curvature are related
by a rigid motion. (2) If two curves only have the same
curvature, then it is not true that they are related by
a rigid motion, as was shown by the example in class (and the book).
(9/17) Homework 3 has been posted and is
due on September 27.
(9/15) Solutions to Homework 1 have been
posted. Also, I slightly modified the handout on
derivatives.
(9/14) I posted a handout with a brief review of derivatives.
(9/13) If you haven't done so already, please send me a
blank email with the subject "Math 113".
(9/10) Homework 2 has been posted and is
due on Monday, September 18.
(9/8) If you are planning to apply to a Ph.D. program,
here's a workshop
for you.
(9/6) Here's a handout on the
Implicit Function Theorem.
(9/6) Sorry for my inability to draw the curve C defined by
x^2 + y^2 = 1 and x + y + z = 1. Here are three pictures of C, as we
fly around it through 3-space: first, second, and third.
(8/30) After you receive your graded
homework assignment, you are allowed to revise it and turn in the
revision to be regraded. I will accept only one revision
per homework which you have to turn in the class after you receive
my feedback.
(8/27) Homework 1 has been posted (as a
PDF file) and is due on Monday, September
4. [Correction: September 4 is a holiday, so HW 1 is due
September 6.]
Someone (thanks!) emailed me a better
link on Perelman and Poincare's conjecture.
(8/23) Here's a link
to the story about Grigory Perelman and the Poincare conjecture in the
NY Times I mentioned today in class.
(8/22) Welcome, everyone! The first class meeting is
tomorrow, August 23.
