Location: 247 Cory Hall

Instructor: Dagan Karp

Office: 1053 Evans Hall

Office Hours: Mon 4-5pm and by appointment

Phone: 510.642.5546

email: dkarp math berkeley edu

http://math.berkeley.edu/~dkarp/

Our goal is to cover at least the following topics: Manifolds in n-dimensional Euclidean space and smooth maps, Sard's Theorem, classification of compact one-manifolds, transversality and intersection modulo 2. We may cover additional topics as time permits, and depending on the interests of the class.

The work done in conjunction for this course will consist of weekly homework assignments, one in-class midterm, and one take home final exam. The weekly homework assignments will be posted at http://math.berkeley.edu/~dkarp/courses/141/hw.html

Grades may be determined as follows:

Midterm: 20%

Final: 30%

Final (due date): Friday, December 15

The required text for this course is Differential Topology by Guillemin and Pollack. John Milnor's Topology from the Differentiable Viewpoint is also highly recommended; a copy has been placed on reserve for our course in Moffitt Library.

Late homework is not groovy (points may be deducted). Make-up midterms are not allowed unless there is notification 24 hours in advance and is authorized by me, or in case of extreme emergency with written verification.