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.
COURSEWORK: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:Grades may be determined as follows:
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.
POLICY: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.