Course Description

Mathematics 424a/b Multivariable Calculus

Review of differentiability in Euclidean space, inverse and implicit function theorems, integration in Euclidean space, Fubini's theorem, partitions of unity, change of variable, multilinear functions, tensor and wedge product, vector fields, differential forms, Poincaré's lemma, Stokes' theorem, manifolds, fields and forms on manifolds, Stokes' theorem on manifolds.

Prerequisites: Calculus 251a/b or the former Mathematics 205b, and Mathematics 304a/b.
3 lecture hours, half course.


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