Measure Theory and Integration

3 credits · Graduate

This course focuses on the development and properties of Lebesgue measure and the Lebesgue integral, with generalization to integration in abstract measurable spaces. Topics include outer measure, measurable sets and Lebesgue measure, measurable functions, differentiation of integrals, and the extension of these concepts to more general settings. Prerequisite(s): MATH 302-3 Preclusion(s): MATH 401-3, MATH 403-3, MATH 601-3