MAT 206: Measure Theory
Spring 2009
Instructor
Time and Place
Grading percentages
- Weekly Homework: 30%
- Midterm: 30%
- Final: 40%
-
The lowest score on your homework assignments will be dropped.
Textbooks
We will be using G. B. Folland, Real Analysis:
Modern Techniques and their Applications as our text.
Description
This course will cover Lebesgue measure and integration
as well as Lp spaces, differentiation of measures,
and integration theory on locally compact Haussdorf
spaces (Radon measures).
News
Homework Assignments
- You are welcome to discuss the homework with your fellow students.
However, each of you must produce your own written solutions.
- Homework will be collected on Mondays starting on the
second week of the class.
- Remember that the primary purpose of homework assignments
is to test your knowledge of the
course material without the pressure of an exam.
- Late assignments will not be accepted.
- You are welcome to turn your homework into my box in the mailroom
rather than during class
- Please make sure all the work you turn in is neat and
legible.
- This is a list of homework exercises which will be collected.
You are encouraged to work other exercises in the book in addition
to these problems.
Due Monday, April 6:
- Read Sections 1.1 through 1.4
- Section 1.3 #10,13
- Section 1.4 #19
Due Monday, April 13:
- Read Section 1.5
- Section 1.5 #25,26,27
Due Monday, April 20:
- Read Sections 2.1,2.2
- Prove that the Cantor function (as defined in class) is continous.
- Show that every Lebesgue measurable set with positive measure contains
a nonmeasurable set E.
- Section 2.1, problems 3,10.
Due Monday, April 27:
- Read Section 2.3
- Section 2.1 #14,17
- Section 2.2 #20
Due Wednesday, May 6:
- Read Sections 2.4,2.5
- Section 2.3 26,31d
- Section 2.4 40