2007 March 23 / E-Mail Me

This is a first course in differential geometry, focusing on curves and surfaces in Euclidean space. The textbook is Manfredo P. Do Carmo's *Differential Geometry of Curves and Surfaces*, augmented with other texts, and with applications and computer exercises in

- DNA knotting
- splines, computer graphics, computational geometry, robotic control
- relativity
- action principle, Euler-Lagrange equations, calculus of variations
- minimal surfaces, soap films

Here are the some local resources:

- schedule
- projects
- Mechanics handout
- Exam 1 (as given; uncorrected 4CDE)
- Exam 1 Answers (mean 83.12, stddev 9.79)
- Exam 2 (mean 73, stddev 18)
- Stereographic Projection handout

Here are some other web sites of interest:

Our class meets

Mon-Wed-Fri 11:55-12:45, in 205 Physics/Math

Here's how you get in contact with me:

Dr. Joshua Davis

E-mail: see here

Office: 033 Physics/Math

Office phone: 660-2823

Office hours: Mon 1:00-1:50, Tue 3:30-4:20, Thu 1:50-2:40

Appointments: Please pick a free time from my weekly schedule and e-mail me.

Your semester grade will be based on the following aspects.

- class participation (10%)
- regular homework, including computer exercises (20%)
- two midterm exams, at least one being an unlimited-time take-home exam (20% each)
- final project, with talk and short paper (30%)

Your written work should be neat and complete, with the problems answered in the order they were assigned, and clearly marked. *Staple* your assignment into a single packet to be graded. If your paper is messy or disorganized from revisions, erasures, etc., then you may need to recopy it. Show your work, and give simplified answers. If a classmate were to read one of your solutions, she or he should be able to understand what the problem was and how you solved it. In other words, your solution should be well-written and *self-explanatory*. At the top of the first page of your assignment, write the short pledge

I have adhered to the Duke Community Standard.

and sign it (and print your name).

In the case of group work, each group submits a single report. Only group members who have contributed to the work may sign the pledge and write their names on it. They can not allow another group member, who has not contributed to the work, to sign or write his name.

You are encouraged to work with others on homework, as well. Here, however, you submit work individually, and the written work that you submit must be your own. In particular, you may not copy someone else's work or allow them to copy yours.

Late work? No. (Except in *extreme* circumstances beyond the student's control.)

Depending on time constraints, perhaps only a subset of your submitted work may be graded. In order to ensure full credit, do all of the assigned problems.