3.00 Credits
Combines with MATH 4205 for a one-year series providing rigorous treatment of the foundations of mathematical analysis. Includes discussion of properties of real numbers, set theory, elementary metric space topology, series and sequences, limits, continuity, differentiation, Riemann and Riemann-Stieltjes integration, sequences and series of functions, equicontinuity, functions of severable variables, inverse and implicit function theorems, and multi-dimensional integration theory. Prerequisites: grade of C or better in MATH 2250 and 2210 and either 3200 or 3000.