MAT 570 - SPRING 99    Spielberg's homepage

Instructor:  Jack Spielberg
Time:  TTh, 1:40 - 2:55
Location:  ED 310 (Farmer Building)
Line Number:  91103

Course Description:

This is the first half of a basic graduate level 
course in real analysis.  The central topic is Lebesgue's 
theory of integration.  This is a much more general and 
flexible integral than the Riemann or Riemann-Stieltjes 
integral, and has applications virtually everywhere in pure 
and applied mathematics.  In MAT 570 we will cover chapters 
1, 2, 3, and parts of chapters 4 and 5, of the text.  There 
will be regular homework assignments, a midterm exam, and a 
final exam.

Prerequisites:

A solid understanding of the material in MAT 
371 or MAT 472.  The student should be completely comfortable 
with the notion of least upper bound in the real numbers, and 
its consequences for continuity, differentiation, and Riemann 
integration.  Basic knowledge of metric space topology (open 
and closed sets, Cauchy sequences, compactness, Heine-Borel), 
at least in Euclidean space, will be assumed.

Textbook:

Real Analysis, Gerald B. Folland, Wiley Interscience, 1984.