MATH 5640: Differential Geometry

Instructors:   Dan Stanescu (RH 218); Eric Moorhouse (RH 216; office hours MW10am, R2:10pm)

Class meets:   MW 2:45–4pm, RH 247.

Textbook:   Wolfgang Kühnel, Differential Geometry: Curves — Surfaces — Manifolds, 2nd ed., AMS, 2006.

A printable syllabus is available.

Prerequisites:   Math 4200 or Math 4400, or permission of the instructors. The lectures will assume you have a firm knowledge of calculus, in particular vector calculus, linear algebra and analysis. Familiarity with basic topological concepts would also be an asset.

A printable version of the course announcement is available.

Homework, Handouts etc.

•  HW1   Due Wed Jan 21, 2009
•  HW2   Due Wed Feb 4, 2009.   From Chapter 2, answer #3,5,12,22,23. In order to attempt #22 you will first need to read the section on Minkowski space.
•  HW3   Due Wed Feb 18, 2009.   From Chapter 3, answer #1,9,10,20.
•  HW4   Due Wed Mar 4, 2009.   From Chapter 4, p.194-197, answer #1,2,5,16,17.
•  The Hyperbolic Plane
•  HW5   Due Wed Apr 8, 2009.   Solutions
•  Final Project.   Due 5pm, Fri May 8

/ revised February, 2009