Back to MAT 473

MAT 473, Spring 2005
Title:  Intermediate Real Analysis, II
Instructor:  Jack Spielberg
Time:  MWF 11:40 - 12:30
Location:  ECG G335
Line #: 05260

COURSE DESCRIPTION

This is the continuation of MAT 472, giving a rigorous treatment of
analyisis in n-dimensional Euclidean space.  The first third of the course
will deal with differentiation of functions between Euclidean spaces,
including partial and total differentiation, Taylor's theorem, and the
inverse and implicit function theorems.  The remainder of the course covers
Lebesgue measure and integration in Euclidean space, including convergence
theorems, Fubini's theorem, and change of variables.

For the first part of the course, the textbook for MAT 472 by Rosenlicht
is a suitable reference.  (Any text giving a rigorous treatment of
differentiation in Euclidean space may be used.)  For the second part of
the course we will use the text by Jones, covering roughly the first eight
chapters.

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 second 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 472, or instructor approval.

Questions about the course are welcome, and should be directed to the
intructor, at (96)5-3286 or jack.spielberg@asu.edu

REFERENCES

Textbook:  (required)  Lebesgue Integration on Euclidean Space, 
                          Frank Jones, Jones and Bartlett.
        (recommended)  Introduction to Analysis,
                          Maxwell Rosenlicht, Dover.