MATH 7550 Differential Geometry

Spring 2007

Course Information

Course: MATH 7550 Differential Geometry
Time/Place: Tuesday & Thursday, 1:40 - 3:00 pm, in 135 Lockett
Instructor: Dan Cohen
Office Hours:  Tuesday 3:00 - 4:00,* Wednesday 11:00 - 12:00, Thursday 11:00 - 12:00 in 372 Lockett, and by appointment
*except when there is a conflict with the department colloquium
Prerequisites: MATH 7200 and 7510 (and undergraduate analysis).
Grade: Based on homework. Homework will be posted here
F. Warner, Foundations of Differentiable Manifolds and Lie Groups, Springer-Verlag, GTM 94.
Other potential sources for material covered in this course will be listed here

Course Description

This course provides an introduction to smooth manifolds, roughly speaking, spaces which locally resemble Euclidean space and have enough structure to support the basic concepts of calculus, as well as related constructions. These include submanifolds, tangent vectors and bundles, smooth mappings and their effect on tangent vectors, implicit and inverse function theorems, vector fields, differential forms, Stokes' theorem, etc.
Department of Mathematics
Louisiana State University
Baton Rouge, LA, 70803
Office: 372 Lockett
Phone: (225) 578-1576