Our FINAL EXAM is scheduled for Wednesday May 13.
Our second in-class exam is scheduled for Tuesday April 28.
Our first in-class exam is scheduled for Thursday March 5.
Lectures: Tuesday and Thursday from 10:30 - 11:50PM in 343 Altgeld Hall
Instructor: Ely Kerman, ekerman@math.uiuc.edu
Office & Telephone: 326 Illini Hall, 265-6710
Office Hours: Thursday 1:00-3:00, or by appointment.
Textbook (required): Theodore Frankel, The Geometry of Physics, Cambridge U.P. (paperback).
Course Material:
1. Manifolds: configuration spaces, differentiable manifolds, tangent spaces, tangent bundles, orientability.
2. Calculus on manifolds: Vector fields, flows, tensor fields.
3. Differential forms and exterior calculus.
4. Integration theory: Generalized Stokes theorem, de Rham cohomology.
5. Riemannian geometry: Riemannian metrics, geodesics.