Measure spaces, measurable functions, measures, the integral, integrable functions, the Lebesgue dominated convergence theorem, modes of convergence, Egoroff's theorem, the Hahn and Jordan decomposition theorems, the Radon-Nikodym theorem, Lebesgue spaces, and the Reisz representation theorem for Lebesgue spaces.

Credit Weight:
0.5
Prerequisite(s):
Permission of the Chair of the Department
Offering:
3-0; or 3-0