Mar 01, 2024  
2017-2018 Graduate Catalog 
2017-2018 Graduate Catalog [ARCHIVED CATALOG]

MATH 6121 - Real Variables I


P: MATH 5101  or consent of instructor I. Study of functions of one real variable and convergence of sequences and series of functions: functions of bounded variation, measures, measurable sets, measurable functions, convergence almost everywhere, absolutely continuous functions, Lebesque integration, differentiation, and the Fundamental Theorem of the Calculus. II. Lebesque spaces and associated inequalities, measures in Rn, measure spaces and the associated theory of integration and differentiation; the Radon-Nikodym Theorem with applications to probability and statistics.