MATH 3020U – Real Analysis

This course provides the foundation for real analysis, and prepares students for other branches of mathematics, mathematical statistics and quantum mechanics. Students study the construction of real and complex number systems; partial and total order relations; countable and uncountable sets; mathematical induction and other techniques of proof; numerical sequences and series; absolute and conditional convergence; basic topological notions in a metric space; continuous functions; continuity and compactness; continuity and connectedness; uniform continuity; sequences and series of functions; uniform convergence; the Riemann-Stieltjes integral; rectifiable curves; fixed points and the contraction principle; introduction to one-dimensional discrete dynamical systems.
Credit hours: 3
Lecture hours: 3
Prerequisite(s): (MATH 2020U or MATH 2055U) and (MATH 2080U or CSCI 1010U or CSCI 2110U or ELEE 2110U or ENGR 2110U)