Math 205a:
Measure Theory and Lebesgue Integration
(Autumn 2010)


Professor: Brian White
Email: white "at" math.stanford.edu
Office: Room 383-EE (third floor of math building)
Office Hours: Tuesday, 1:30 - 3:30, and by appointment

Course assistant: Kaveh Fouladgar
Email: kavehf "at" stanford.edu
Office: 380H (hasement of math building)
Office hours: Monday and Wed 9-10:30am, and by appointment.

Text: "Measure Theory" by Donald Cohn. The course corresponds roughly to the first seven chapters of the text, though we will cover a few additional topics.

Grading: the grade will be based on weekly homework assignments (20%), a midterm (30%), and the final exam (50%).

Homework

Homework assignments (and solutions) will generally be posted here weekly. Homeworks will generally be due on Thursdays. (No hw due Thur, Sept 23.) Late homework assignments will not be accepted, so if you haven't finished an assignment when due, please go on and turn in the problems you have done.

Note on homework:

The homework problems form an integral part of the course. Some of the problems are meant to be quite challenging, so don't be discouraged if you are unable to solve every one. However, it is important that you work on them. You can learn a lot by working hard on a problem, even when you don't succeed in solving it. (Also, if you've worked hard on a problem you were unable to solve, you'll learn a lot from the reading a solution. Without having struggled with it, you'll learn little.)

Even when you have solved a problem, you should read the web page solution, which may be more elegant and/or more concise than your solution.

Finally, if a problem asks for a proof, you are allowed to use the results of any previous problems, including those you are unable to solve.

Midterm

Midterm date: Thursday, Nov 4. Time: 11-12:30 am. Place: classroom.

Practice midterm problems.

The Final Exam

The final exam is 7:00-10:00 pm on Wed, December 8. Room: 380C. This time is officially set by the university, and cannot be varied.
Do not take the course unless you can take the exam then.

Here are some exams from previous years: 2004, 2005, 2007, 2009.

Note: in the 2004 class, a different approach to product measures was used. Question 9 of the 2004 exam is based on that approach.

Solutions to previous exams: 2004, 2007, 2009.

Sorry, I don't have solutions to the 2005 exam.