Credit Weight: 0.5 Prerequisite(s): Mathematics 3233 Description: 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. Offering: 3-0; or 3-0

Mathematics 4111 Measure Theory

Credit Weight: 0.5 Prerequisite(s): Mathematics 3233 Description: 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. Offering: 3-0; or 3-0





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