MATH 821 REAL ANALYSIS I (3) I. Measurability, integration theory, regular Borel measures, the Riesz representation theorem, and Lebesgue measure in Euclidean spaces. Pr.: MATH 722.

MATH 822 REAL ANALYSIS II (3) The Lp-spaces, Banach spaces, and Hilbert spaces, complex measures and the Radon-Nikodym theorem, the Fubini theorem on double integration, and differentiation. PR.: MATH 821.