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MAT 472, Fall 2004
Title:  Intermediate Real Analysis I
Instructor:  Jack Spielberg
Time:  TuTh 10:40 - 11:55
Location:  LL-272
Line #:  16978

COURSE DESCRIPTION

This is the department's basic course on metric
space topology and analysis on the real line.
Topics include a brief but careful treatment of
completeness in the real numbers, metric space
topology (including compactness and
connectedness), continuity of functions,
differentiation and Riemann integration in R, and
the circle of results centered on uniform
convergence of functions.

The lectures will be self-contained, so strictly
speaking, there is no need for a textbook.  
However there are many excellent books covering
this material, and it is highly recommended that
students have at least one such book at hand.  For
this reason I have asked that the bookstore have
copies of Rosenlicht available.  Other references
are listed below.

The material to be covered is roughly represented
by the first seven chapters of Rosenlicht.  There
will be weekly problem sets (the most important
part of the course), one midterm exam, and a
cumulative final exam.  The final exam also serves
as the first half of the Department's graduate
qualifer exam in Real Analysis.  However, the use
of the final exam for the course grade will
be independent of its use by the graduate program.

PREREQUISITES

MAT 300 and MAT 342.  MAT 371 is very strongly
recommended.  All homework and test problems will
require writing a proof.  I will assume that all
students have the ability to easily read and write
mathematical proofs.

Questions about the course are welcome, and should
be directed to the intructor, room PSA-747, or by
phone at (96)5-3286, or by email:
jack.spielberg@asu.edu

REFERENCES

Introduction to Analysis, Maxwell Rosenlicht, Dover

Principles of Mathematical Analysis, Walter Rudin, McGraw Hill

Elements of Real Analysis, Robert Bartle, Wiley.