Measure Theory

MATH 467/ MAST 669/837C

Fall 2009

Alina Stancu

(stancu@mathstat.concordia.ca)

General Information

This handout contains the basic information for the course. Alternatively, graduate students may consult this version of the handout . Both textbooks indicated in the handouts are on reserve at the library. Please also note that both books are known to have a number of typos. See the author's web page for an errata to G. Folland's Real Analysis , while refer to a less formal errata to Royden's Real Analysis due to Geoff (last name unknown).

News

You have the solutions of the remaining review problems which were not discussed in class here .

To practice for the final exam, you may use the collection of old exams for MATH 467 which can be bought at the digital store for approximately 68 cents. In addition, here is a list of Review Problems . These problems will be discussed during the last two lectures Thursday, Dec 3, and Tuesday, Dec 8.

November 17, 2009

Do not forget to complete the on-line evaluations of the course by December 7.

November 12, 2009

There will be no class on Tuesday, December 1st. There will be a make up class on Tuesday, December 8, 2009, 10:15 am - 11:30am, Hall Bldg 605 (note that this is the usual time and place). The office hours will also be held on December 8, 2-4pm.

Here you have the solutions to the midterm . FYI: the mean is 40.25 out of 50 points for undergraduate students, respectively, 46.62 out of 60 points for graduate students.

You may use the following old midterms Midterm 2006 and Midterm 2008 to practice for the examination of Thursday, October 29. The problems will be discussed in class on Tuesday, October 27. Just be aware that some problems of the old exams do not apply to the material which you will be tested on. For example, at this time, do not solve problem 1, midterm of 2006 and problem 4, midterm of 2008.

The date of the midterm exam has been set for Thursday, October 29, in class. The material covered for this evaluation consists of Chapters 3 and 4 of Royden, i.e. Lebesgue Measure and Integration.

Various Material

Egoroff's Theorem

Professor Anton R. Schep's notes on Lebesgue's Theorem of characterization of Riemann integrable functions.

Assignments:

Assignment #1 (Due September 17 in class, no late assignments accepted!):

Assignment #2 (Due October 1st in class, no late assignments accepted!). Solutions

Assignment #3 (Due October 22, in class, no late assignments accepted!):

Assignment #4 (Due November 17, in class, no late assignments accepted!):

Assignment #5 (Due November 26, in class, no late assignments accepted!):

© 2009 Alina Stancu