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MATH 57203. Differential Topology I. 3 Hours.

An introduction to the topology of smooth manifolds: applications of the inverse function theorem to smooth maps, Sard's theorem, transversality, intersection theory, degrees of maps, vector fields and differential forms on manifolds, integration on manifolds. Prerequisite: ²Ñ´¡°Õ±áÌý45103 or ²Ñ´¡°Õ±áÌý52103 and graduate standing in mathematics or statistics, or departmental consent. (Typically offered: Fall Odd Years)