MAT 473 - Spring 03 - Spielberg
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MAT 473, Spring 2003
Title:  Intermediate Real Analysis, II
Instructor:  Jack Spielberg
Time:  MWF 11:40 - 12:30
Location:  LSA L1-11
Line #: 17794

Course description: This is the continuation of MAT 472, giving a
rigorous treatment of analyisis in n-dimensional Euclidean space. 
The first part 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 second part of the course covers Lebesgue
measure and integration in Euclidean space, including convergence
theorems, Fubini's theorem, and change of variables.  If time
permits, the course will conclude with an introduction to
manifolds.

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), two midterm exams, and a cumulative final exam.

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

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