ANALYSIS II

MATH 213

First order differential equations, introduction to multivariable calculus and constrained optimization, infinite sequences and series, methods of approximation, and a brief introduction to probability. Models and applications from business and the social sciences.

MATH 725

Continuation ofMATH 721. An introduction to further topics in real analysis: Banach spaces, Fourier transforms, elements of distribution theory, and applications.

MATH 921

Selected topics in Analysis.

MATH 826

Topics in functional analysis and differential equations.

MATH 521

The real numbers, elements of set theory, metric spaces and basic topology, sequences and series, limits, continuity, differentiation, integration, sequences and series of functions, uniform convergence.