Mathematics 454, Spring 2007
TuTh 14:5516:10 Malott 203
Professor
Tara Holm
Office: Malott 589
Phone: 6072552392


Office Hours:
 Wednesday 1:003:00pm
 By appointment

If you have any questions, please come by my office, or send me
email!!
Topics: We will focus on the geometry of curves and surfaces
in Euclidean space. The fundamental concepts we will explore are curvature and geodesics. Topics we will
cover include tangent bundles, orientability, the first and second
fundamental forms, Gaussian and mean curvatures, the Gauss map,
geodesics, minimal surfaces, and the GaussBonnet Theorem. If
time permits, we will discuss the basics of Morse theory.
Text: Andrew Pressley, Elementary
Differential Geometry. You cn buy it
from
Amazon or the Cornell bookstore.
Syllabus: Available in PDF. (Note: corrected %s
for final grades!)
TA: Tim Goldberg is the TA for the course. His email
address is goldberg(at)math(dot)cornell(dot)edu. His office is in 120
Malott. He
has office hours in 218 Malott on Tuesdays 12pm and Wednesdays 10:3011:30am.
Homework Assignments
The first
Problem Set is due on 1
February 2007.
The second
Problem Set is due on 8
February 2007.
The third
Problem Set is due on 15
February 2007.
The fourth
Problem Set is due on 1
March 2007.
The fifth
Problem Set is due on 6
March 2007.
The sixth
Problem Set is due on 5
April 2007.
The seventh Problem Set is due on 12
April 2007.
Exams
The Midterm (no hints) is due on 15
March 2007. Here is the one with hints
Here is a handout about Final projects.