**Course outline:**
manifolds, vector fields, differential forms, de Rham
cohomology, bundles, connections, curvature, Riemannian and Lorentzian
metrics, geodesics. We will briefly indicate the connections to
Yang-Mills theory, gauge theory and general relativity.

**Instructor:**Dan Christensen**E-mail:**jdc@uwo.ca**Office:**Middlesex 103b.**Office Phone:**661-2111 x86530.**Office Hours:**after class.**Class times and location:**Tuesdays and Thursdays 1-2:30 in MC107. January 13 to April 15,**except February 23-27**.**Prerequisites:**linear algebra, multi-variable calculus and permission of instructor. An acquaintance with metric spaces and/or topology would be great but is not required.

**Presentations:** In the second half of the semester,
each student will give one presentation on a topic related to the
course. The scheduling will be worked out later.

**Evaluation:** Homework will be due roughly every
two weeks. Evaluation will be based upon homework
and the presentations. There will be no tests.