Math 113: Differential Geometry
Fall 2008

(class no. 47400, sec. 1)

Contents of this page

Late breaking news
Lecture time and location
Prerequisite
Office hours
Textbook
Syllabus
Exams
How to...
Grading policy
Handouts
Homework
Policy on calculators
Academic integrity
Anonymous feedback

Late breaking news

(12/18) Final exam solutions have been posted. It was a pleasure teaching this class and having you as students. Happy holidays, have a wonderful winter break, and hope to see you next semester!

(12/10) The final exam has been posted! It's due on Wednesday, December 17, by 12 noon. My office hours for the rest of the semester are:

Wed. 12/10: regular office hours (10-10:30 and 11:20-12:30)
Fri. 12/12: 10-12:30
Mon. 12/15: 10-1
Wed. 12/17: 10-12

(12/9) Homework 9 solutions have finally been posted. Sorry for the delay.

(12/2) Homework 10 (the last one!) has been posted and is due on Wednesday, December 10.

(11/26, part 2) Two years ago a wrote a handout on the Gauss map. Check it out. The main conclusion is that the derivative of the Gauss map is essentially the second fundamental form!

(11/26) Recall that the optional paper is due on December 3. Happy Thanksgiving!

(11/25) Homework 8 solutions have been posted.

(11/20 Homework 9 has been posted and is due on Monday, December 1.

(11/16) As I said in class, problem 5 in homework 8 should say: "f is area preserving iff |det Df(x,y)| = 1" instead of just det Df(x,y) = 1. Sorry about the typo.

(11/9) Homework 8 has been posted and is due on Monday, November 17.

(11/6) Homework 7 solutions have been posted.

(11/5) Midterm 2 solutions are here.

(10/31) I just posted homework 6 solutions. Here's Midterm 2 from two years ago. For solutions, click here.

Also, next semester I'll be supervising a CAMCOS project. We'll be working with Dr. Jeffrey Scargle from NASA-Ames on a topic (called causal set theory) that involves some physics, some astronomy and some math, all on a pretty accessible level. It should be a lot of fun, as students who did it last Spring can testify. If you're interested, please let me know.

(10/26) Homework 7 has been posted and is due on Monday, November 3.

(10/16) I just posted homework 5 solutions and homework 6, which is due on Monday, October 27.

(10/14) I will not be able to hold my usual office hour between 11:20 and 12:30 tomorrow, Oct. 15. Sorry about that.

(10/6) Homework 5 has been posted and is due on Monday, October 13.

(10/4) Homework 4 solutions have been posted. I'll post homework 5 soon.

(10/2) Midterm 1 solutions have been posted.

(9/25) Homework 3 solutions have been posted.

(9/24) Homework 4 has been posted and is due on October 1.

(9/22) Since there still seem to be a lot of questions about homework 3, I'm moving the deadline for it to Wednesday, September 24.

(9/16) Both Homework 3 and solutions to HW 2 have been posted. HW 3 is due on Monday, September 22.

(9/15) If you are thinking of applying for a PhD in mathematics, you should check out the graduate school workshop on Wednesday, September 17.

(9/9) I made a small correction in homework 2. In order for the A-inner product of u(t) and v(t) in problem 3(a) to be defined, the problem should say "if t --> u(t), v(t) are differentiable curves in R^2, then [...]" (the rest is unchanged). Thanks to Simon for pointing this out.

(9/7) Since we only started looking at curvature on Friday, homework 2 is now due on Friday, September 12. (Thanks also for an anonymous feedback on this matter.)

(9/5) Here's a handout on the Implicit Function Theorem I wrote two years ago. It summarizes some of the discussion from today's class.

(9/4) Homework 1 solutions have been posted.

(9/3) Homework 2 has been posted and is due on September 10.

(8/26) Homework 1 has been posted and is due on September 3.

(7/15) Welcome to the home page of Math 113 for the Fall 2008! The first class meeting will be on August 25. Here's the course announcement.


Lecture time and location

MWF 10:30-11:20 in MH 222

Prerequisite

Math 32 and Math 129A (with a grade of "C-" or better in each) or instructor consent.


Office hours

MWF 10:00-10:30 and 11:20-12:30, and by appointment


Textbook

Andrew Pressley: Elementary Differential Geometry, Springer, 2001
Recommended reading: Manfredo do Carmo: Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976

More advanced, a classic.


Syllabus

Green sheet
We will study geometry of curves and surfaces in the small by means of differential calculus. Our main goals are to understand arclength, area, and curvature. We will attempt to cover the majority of most important results from Pressley.


Exams

There two midterms and a final exam. The exam schedule:
Midterm 1: October 1
Midterm 2: November 5
Final exam: take home, TBD
There will be no make-up exams.


How to...

How to study for this and other math classes

How to take the exam


Grading policy

Homework 20%, Midterms 40%, Final 40%


Handouts

Implicit Function Theorem


Homework

There will be weekly homework assignments.

Late homework policy:

1 class late: 50% penalty; 2 classes late: 75% penalty; 3 classes late: no credit.

# Due date Assignment Solutions
1 9/3 HW 1 HW 1 solutions
2 9/12 HW 2 HW 2 solutions
3 9/24 Ex. 2.3, 2.5, 2.6, 2.7, 2.13, 2.15 from Pressley HW 3 solutions
4 10/1 Ex. 3.1, 3.2, 3.3, 3.5, and 3.6 from Pressley HW 4 solutions
5 10/13 Ex. 4.2, 4.3, 4.4, 4.6, and 4.9 from Pressley HW 5 solutions
6 10/27 Ex. 4.13, 4.17, 4.18, 4.19 from Pressley + this one HW 6 solutions
7 11/3 HW 7 HW 7 solutions
8 11/17 HW 8 HW 8 solutions
9 12/1 HW 9 HW 9 solutions
10 12/10 Ex. 6.5, 6.16, 6.18, 7.3, 7.5 from Pressley


Policy on calculators

Calculators will not be permitted on exams.


Academic integrity

By default, I regard my students as honest individuals and expect them to abide by the University policy on academic integrity.


Anonymous feedback

If you have any comments or suggestions, please fill out this anonymous feedback form.
Slobodan N. Simić

Last modified: Thu Dec 18 09:02:22 PST 2008