University of Illinois at Urbana-Champaign

Math 595 Section CAP/TRA (Introduction to Linear Analysis) Fall 2005

Course Description

This course will treat the fundamentals of analysis and (linear) algebra in normed vector spaces. Its purpose is to provide students with a firm background in basic concepts which undergird modern analysis: metric and topological spaces, normed and topological vector spaces and linear algebra, differential calculus in normed linear spaces. Applications (existence and uniqueness theorems for ODE's, fixed point theorems, ...) are numerous and will figure prominently.