A rigorous introduction to analysis. The topology of Euclidean spaces. Completeness, compactness. The Bolzano-Weierstrass Theorem. Limits of sequences and functions. Continuity, uniform continuity. Uniform convergence. Credits:4 Prerequisite:MTH 341 and at least one of the following: MTH 337, MTH 346, MTH 355, or MTH 441 with a grade of C- or better. (MTH 344 is strongly recommended)