**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