Real Variables

(4 Credits)

This is an introductory course on modern analysis. The topics to be dis- cussed include: Lebesgue measure and integration, measurable functions and sets, convergence theorems, Lebesgue differentiation theorem, elements of Hilbert space and Banach space, Riesz’s representation theorem, Sobolev space and its applications to partial differential equations. Prerequisite: Grade C or better in MATH-SHU 328 (Honors Analysis I) Fulfillment: Constrained Math elective; Honors Math elective.