Math 5051
Measure Theory and Functional Analysis I

Prof. M. Victor Wickerhauser


  • HW #6 is now due on Monday, Dec 14th before the final exam begins at 10:30am.
  • There was an error in Exercise 20 of HW 6 that is corrected in the current update.
  • The final exam will cover material in chapters 11 through 17 of our textbook, which corresponds to HWs 4,5,6. There are 6 problems, you will have 2 hours, and no reference materials or electronic devices will be allowed.


Topics. This will be the first semester of a two semester graduate-level introduction to the theory of measure and integration in abstract and Euclidean spaces. We begin with an introduction to the basic ideas of real and functional analysis. Math 5051 and 5052 form the basis for the Ph.D. qualifying exam in analysis.

Prerequisites. Math 4111, 417, and 418, or permission of the instructor.

Time. Classes meet Mondays, Wednesdays and Fridays, 10:00 am to 11:00 am, in Cupples I, room 207.

Text. The lectures will follow the book Real Analysis for Graduate Students, Version 2.1, by Richard F. Bass. ISBN-13: 978-1502514455
This textbook will also be used in Math 5052. Note that, though a PDF version is freely available, the printed version is cheap and handy to have at times when computers are not available.

Homework assignments: Solutions are due at the beginning of class on the due date. Late homework will not be accepted.
Collaboration on homework is permitted and encouraged, but each student must submit individually written solutions.

Tests. There will be one midterm examination on Monday, October 19th, in class. There will be a cumulative final examination, emphasizing later material, on Monday, December 14th, 2015, from 10:30am to 12:30pm, in the classroom. No electronic devices will be allowed during these tests.

Grading. One grade will be assigned for all homework, one for the midterm, and one for the final examination. These grades will contribute as follows to the course grade: Homework 50%, Midterm 20%, Final 30%. Students taking the Cr/NCr or P/F options will need a grade of D or better to pass.
Letter grades, computed from the course score, will be at least the following:

Course score at least:90%80%70%60%
Letter grade at least:ABCD

Office Hours. See the instructor in Cupples I, room 105a, on Mondays or Wednesdays between 11am and 12 noon, or by appointment.

Questions? Return to M. Victor Wickerhauser's home page for contact information.