MATH-462 Real Analysis
A detailed treatment of the basic concepts of analysis including the real numbers; completeness and its equivalence to other properties of the reals such as monotone convergence, Archimedean property, Bolzano-Weierstrass theorem; the topology of Euclidean spaces, compactness and the Heine-Borel theorem, connectedness, continuity and uniform continuity, pointwise and uniform convergence of functions, and an introduction to metric spaces.
Prerequisite
Student has completed all of the following course(s) MATH 265 - Calculus III, MATH 331 - Introduction to Advanced Mathematics with grade greater than or equal to C (Undergraduate Grading Scheme).