MAT 239

Differential Topology

Extensive Problem Solving. Vector calculus, point-set topology; Topics include: differentiable manifolds, vector fields, transversality, Sard's theorem, examples of differentiable manifolds; orientation, intersection theory, index of vector fields; differential forms, integration, Stokes' theorem, de Rham cohomology; Morse functions, Morse lemma, index of critical points.

Units: 4.0

Hours: Lecture—3 hour(s);