Vaughn Climenhaga

Associate Professor
Department of Mathematics
University of Houston

Math 6321

Functions of a Real Variable (II)
Spring 2018

  • The final exam will take place in the regular lecture room from 8-11am on Wednesday, May 9 (the university-scheduled final exam time).
  • The midterm test will take place in class on Wednesday, March 21.

Instructor: Vaughn Climenhaga
  • Office: 665 PGH
  • Office hours:  Monday 10-10:50am, Wednesday 1-1:50pm
  • Email: climenha [at]

Course information:
  • Lectures:  MWF, 9-9:50am, SEC 201
  • Textbook:  Real Analysis for Graduate Students, by Richard F. Bass
  • Supplementary text (optional):  Real Analysis: Modern Techniques and Their Applications, by Gerald B. Folland.
  • I have the second edition of both texts, but you can use any edition you can get your hands on.
  • Course syllabus
This course continues the introduction to modern real analysis, particularly the study of measures, Lebesgue integration, and Lp spaces.  As part of the course, we will encounter elements of functional analysis, Fourier analysis, ergodic theory, and probability theory.

The prerequisite for this course is Math 6320, of which this is a continuation.  Exceptions to this may be made at my discretion.

Review of material from 6320

Homework assignments
HW 1 (due Mon, Jan 29)
HW 2 (due Wed, Feb 7)
HW 3 (due Wed, Feb 21)
HW 4 (due Wed, Mar 7)
HW 5 (due Wed, Mar 28)
HW 6 (due Wed, Apr 11)
HW 7 (due Fri, Apr 27)