| Instructor | Steve Kaliszewski kaliszewski@asu.edu |
|---|---|
| Office | PSA 723 · 965-4084 |
| Schedule | 10:40 - 11:55 TTh |
| Location | ED 212 |
| Prerequisites | MAT 472 (Intermediate Real Analysis) or equivalent |
| Line Number | 61562 |
| Text | There is no required text for this course |
| URL | http://math.asu.edu/~kaz/mat494/02s/ |
This is a continuation of MAT 472, Intermediate Real Analysis I. (It is intended to become a permanent course, MAT 473.) The focus in this course is on analysis in n-dimensional Euclidean space, including differentiation and Lebesgue integration. The highlights are the Implicit Function Theorem, giving general conditions under which a system of nonlinear equations can be solved differentiably for some variables in terms of the others, convergence theorems for Lebesgue integrals, and the Change of Variables Theorem, giving a general process for transforming multiple integrals. Time permitting, we apply the Implicit Function Theorem to give an introduction to manifolds.
Access to the notes and solutions is restricted to students currently enrolled in MAT 494 A. To log in, use your last name (in capital letters) for User ID, and your student number (all 9 digits, no hyphens) for Password. To view the notes, solutions and assignments, you may need to install the free Adobe Acrobat Reader.
Grades are listed by Posting ID number. This number is comprised of the last four digits of your Affiliate ID number, followed by the last three digits of your ASU ID number. The Affiliate ID number is the ten-digit number on your Sun Card; the ASU ID number is the nine-digit one.
You may also find the following web sites helpful:
The policies, syllabus, and assignments on these pages are subject to change: announcements made here or in class will be considered official. It is the student's responsibility to stay up-to-date; I recommend coming to class and monitoring this space regularly.
MAT 494 A / Intermediate Real Analysis / Spring 2002