Credits -- 3 (3-0-0)
Term Offered -- Spring
Prerequisite -- M369, M517
- Topics
-
-- Differentiation of functions of several variables: norms of linear
transformations, the derivative, chain rule, mean value theorems,
equality of mixed partials, higher derivatives, Taylor's theorem,
and second derivative test for max-min.
-- Inverse and implicit function theorems.
-- Multiple integrals: the integral, basic properties, Darboux's
theorem, sets of measure zero and content zero, Lebesgue's theorem,
sets having volume, and Fubini's theorem.
-- Change of variables for multiple integrals. Green's theorem, Stokes'
theorem, and the divergence theorem.