The goal of this course is to introduce the basic ideas of differential geometry, focusing on curves and surfaces in space. Familiarity with multivariable calculus (such as Math 2263) is a prerequisite. The main topics include: the basic theory of curves, Frenet formulas, the basic theory of surfaces, curvature, geodesics, differential forms.

Course Information

All of the following documents are in PDF format.

Here is the course syllabus.

The course textbook is Do Carmo's "Differential Geometry of Curves and Surfaces." A list of errata for the book, compiled by Bjorn Poonen, can be found here.

Homework

Homework problems and other information will be posted here.

Tests

Here are some sample questions for Test 1. Solutions. (Solutions corrected March 3)

Here are some sample questions for Test 2. Solutions.

Here is Test 1.

Here is Test 2.

Contact information

If you have questions or comments, please contact me. My contact information is as follows:

• By email: tlawson (at) math.umn.edu
• By phone: 5-6802
• By foot: Vincent Hall 323