MAT 460 Real Analysis

This course provides a rigorous study of the properties of the real number system and of functions of a real variable. Some familiar results from calculus will be investigated more carefully, and other unfamiliar but interesting results will be introduced. Topics covered include supremums and infimums, sequences and series, Cauchy sequences and the Bolzano-Weierstrass Theorem, limits, open and closed sets, compactness, continuity and the Intermediate Value Theorem, differentiation and the Mean Value Theorem, pointwise and uniform convergence, and Riemann integration. Typically offered only in the fall semester of odd years. Prerequisite(s): MAT 258  and MAT 290 . 3 hour(s).