MAT257Y1: Analysis II



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. Some topics may vary year-to-year.

Distribution Requirements
Breadth Requirements
The Physical and Mathematical Universes (5)
Mode of Delivery
In Class