MAT257Y1: Analysis II

Hours

72L/48T

Topology of R^n; compactness, functions and continuity, extreme value theorem. Derivatives; inverse and implicit function theorems, maxima and minima, Lagrange multipliers. Integration; Fubini's theorem, partitions of unity, change of variables. Differential forms. Manifolds in R^n; integration on manifolds; Stokes' theorem for differential forms and classical versions.

Prerequisite
MAT157Y1/MAT157Y5, MAT247H1/MAT247H5
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)