COURSE PREFIX/NUMBER
MAT 571

TITLE OF COURSE
Real Analysis II

INSTRUCTOR
John Quigg

TIME
1:30-2:45 TTH

LOCATION
GIOS L1-04

LINE #
18614

COURSE DESCRIPTION
This is the second half of a basic graduate-level course in real
analysis. The topics to be covered are:

Introduction to General Topology, including the Stone-Weierstrass and
Arzela-Ascoli Theorems.

Introduction to Functional Analysis, including the Baire Category,
Open Mapping,
and Closed Graph Theorems, and the Uniform Boundedness Principle.

Radon measures and the dual space of C(X).

Time permitting, we may also have an Introduction to Fourier Analysis,
and possibly some further topics of interest to (myself and) the
class; for example: more Functional Analysis and/or Topological
Groups.

There will be some homework assignments, at least one presentation,
and no
exams.

PREREQUISITES
Familiarity with Lebesgue integration and abstract measures. MAT 570
is sufficient, but not necessary. Please consult with the instructor
if you are at all interested in taking MAT 571.

TEXTBOOK
G. Folland, Real analysis, 2nd Edition, Wiley, 1999.

We will cover Chapters 4 and 5, part of 7, and possibly part of 8;
additional topics may be taken from the textbook or other sources.