MA 442 Real Variables

This course introduces principles of real analysis and the modern treatment of functions of one and several variables. Topics include metric spaces, the Heine-Borel theorem in R-n, Lebesgue measure, measurable functions, Lebesgue and Stieltjes integrals, Fubini’s theorem, abstract integration, L-p classes, metric and Banach space properties, and Hilbert space.

Credits

3

Prerequisite

MA 232 and (MA 227 or MA 226)

Distribution

Pure and Applied Mathematics Program

Typically Offered Periods

Spring Semester