Math 8201 Real Analysis
Syllabus

Spring 2007
Prof. Peckham

Syllabus

The goal of the course is to define (and understand) the Lebesgue Integral on Rn. In order to do this, we first need to spend a considerable amount of time deciding how to measure the ``volume'' of sets in Rn. In the process, we will build a collection of subsets which are "measureable." The Lebesgue integral of a function can then be defined "with respect to Lebesgue measure." A variety of applications will be considered.

The theoretical core material is covered in Chapters 1 -- 8 of the text. We will choose topics beyond that according to the interests of the class (including the instructor).

Some supplemental material, not included in the text, will occasionally be presented in lecture.

Course Prerequisites

Real Variables (Math 5201) or equivalent or permission of the instructor.

Grading (Dates are tentative)

Exam 1:	   		8th or 9th week		Ch's 1-4?? 	10%
Exam 2:	   		14th week		Ch's 5-8??	15%
HW sets, due every week or 2:					55%
Final Problem Set:				Cumulative	20%
Total:							       100%

General policy statement

Lectures, material in the text, homework sets, and tests are all intended to complement each other. No one is a replacement for any of the others. You are, in general, expected to learn material which is covered via any of these sources.

Homework Sets and Ground Rules

Homework will be turned in roughly every two weeks. All work should be neatly written, well-organized, and complete. For proofs, it is generally OK to quote results that we have already covered in the course.

For regular homework sets, you are encouraged to exchange ideas with each other, but each person should write up his/her solutions completely in his/her own words. It is never appropriate to give a written version of a problem/proof to another classmate, except to have the classmate read and evaluate your work with you present. It is OK to verbally explain your ideas to another classmate, as long as the classmate then writes up his/her work on his/her own. One person copying a classmate's solutions is expressly forbidden and will result in both students receiving zeroes for that complete homework set and facing academic disciplinary action.

It is often instructive to read the problems at the end of each section and think about how you would solve them, even if you don't actually attempt to solve them.

Assignments will be posted on the Course Web Page

Missed Exams or Quizzes

Missed quizzes or exams will be assigned a zero score unless you provide a valid written, signed (by a Doctor, for example) excuse for your absence; unless it is not possible to do so, you must provide verbal notice ahead of time to your instructor for an absence. Arrangements for a makeup should be made as soon as you know you will miss. Do not wait for the next class. You can leave the instructor a message 24 hours a day by phone or email. Oversleeping, poor preparation, slight colds, and cold weather are not valid excuses.

Disabilities

Please inform me of any disabilities of which I should be aware in order to provide for equitable participation.
This page (http://www.d.umn.edu/~bpeckham/www) is maintained by Bruce Peckham (bpeckham@d.umn.edu) and was last modified on Saturday, 27-Jan-2007 13:14:33 CST.