MATH 5317. REAL ANALYSIS. 3 Hours.
Sigma-fields, measures, measurable functions, convergence in measure and almost everywhere, integration, Fatou's Lemma, Lebesgue-dominated convergence, signed measures, Radon-Nikodym Theorem, product measures, Fubini's Theorem. Prerequisite: MATH 5307 or consent of the Graduate Advisor.
Mathematics - Graduate Programs
Develo p the students’ ability to do independent research and prepare them for more advanced studies in mathematics. Provide advanced training and preparation for professional careers as mathematicians, mathematics teachers, and those employed in engineering, scientific and business fields.