University of Connecticut

Course Info

MATH 5110: Introduction to Modern Analysis

Description: Real and Complex Number Systems. Basic topology of metric spaces, Bolzano-Weierstrass and Heine-Borel theorems. Sequences and series of functions on compact metric spaces, uniform convergence, Arzela-Ascoli and Stone-Weierstrass theorems. Differentiation and integration of vector valued functions of several real or complex variables. Inverse and implicit function theorems. Contraction mapping and Picard-Lindelof theorems. Differential forms.

Offered: Fall

Credits: 3

Sections: Fall 2008 on Storrs Campus

Course Sec Comp Time Room Instructor
5110 001 Lecture TuTh 11:00-12:15 MSB315 Michael Neumann