Online Course Catalog

MATH 447 XGR - Real Variables

Summer 2022

TitleSectionCRNTypeHoursTimesDaysLocationInstructor
Real VariablesXGR40520ONL3 -    Randy McCarthy, III

Course Description

Careful development of elementary real analysis for those who intend to take graduate courses in Mathematics. Topics include completeness property of the real number system; basic topological properties of n-dimensional space; convergence of numerical sequences and series of functions; properties of continuous functions; and basic theorems concerning differentiation and Riemann integration. (https://netmath.illinois.edu/math-447-xgr-real-variables)

Credit Hours

3 Hours

Prerequisites

MATH 241 or equivalent; junior standing; MATH 347 or MATH 348, or equivalent experience; or consent of instructor.