Real Analysis I Measure and integration theory with relevant examples from Lebesgue integration, Hilbert spaces (only with regard to L^2), L^p spaces and the related Riesz representation theorem. Hahn, Jordan and Lebesgue decomposition theorems, Radon-Nikodym Theorem and Fubini's Theorem. Course carries 3 credit hours; students must also enroll for MATH 8105 for 1 credit hour. Credit Hours: 4 Prerequisites: MATH 4100/6100 Corequisites: MATH 8105 Level: Graduate
