Math 5051 - Measure Theory and Functional Analysis I - Fall 2009


  Topics covered:

Measure theory in abstract and Euclidean spaces;  convergence theorems;  introduction to Banach spaces and functional analysis.

Prerequisites: Math 417-418, or permission of the instructor.
Textbook: Gerald B. Folland, Real Analysis: Modern Techniques and Their Applications, 2nd edn,
(John Wiley & Sons, 1999)   ISBN 0-471-31716-0
Class Time and Location:   TTh 2:30-4:00pm --- Cupples I,  Room 215
Instructor: Prof. Stanley Sawyer --- Office: Cupples I, Room 107
Phone: (314) 935-6703   --   Send me an email
Office Hours: MW 3:00-4:00pm   ---   Cupples I, Rm 107
(Warn me in advance if you are coming, since I may have a conflict --- )
(Other times are OK by appointment)
Links: Homework Assignments, Take-Home Midterm, and Take-Home Final
Measures on Semi-Rings (handout)
Mathematics Department Home Page
Washington University Home Page
Prof. Sawyer's home page (for other syllabi)

Exams,  Homework Sets,  Grades,  Last Day of Classes,  and Final:

There will be weekly homeworks, a midterm, and a final. Grades will be based on on the homework sets (around 60%), the midterm (around 20%), and the final (around 20%). Cr means D or better if you elect ``Credit/No Credit''.
The last day of classes for the Arts and Sciences College this Semester is Monday, December 7, 2009, and thus Thursday, December 3, for us.
The take-home midterm will be due Thursday, October 22. The take-home final is due on Thursday, December 17, before 5:30 PM (WUCRSL Exam Code XXIV).

Collaboration:

Collaboration on homework is allowed and can be helpful (and fun). Collaboration on homework is encouraged. However, you must do all written work by yourself. If you collaborate with someone on a homework, you must list his or her name in a note at the top of the first part of your homework. Collaboration on the take-home final is not allowed.

WARNING:

Make a copy of each homework before you hand it in !!
It may not be returned before you need to refer to it for the next homework (or for the next test).

Click here for Prof. Sawyer's home page:

  • Top of this page
  • Mathematics Department Home Page
  • Washington University Home Page

    Last modified December 7, 2009