Emphasis on the rigorous processes of analysis: proofs of limit theorems, properties of continuous functions, existence of integrals, and uniform convergence. Topics include completeness, Bolzano-Weierstrass theorem, sequences, and derivatives. Topics from among the theory of Riemann integration, infinite series, partial differentiation, and the implicit function theorem covered as time allows. Prerequisite: Successful completion of MATH 300 with a grade of C- or better. As needed.