Math 536 Measure Theory
and Integration II
Spring 2007

• Text: H. L. Royden, Real Analysis,
  3rd edition.
• Instructor: Barbara Kaskosz
  bkaskosz@math.uri.edu
  Office: Tyler 218, 874-4445,
  Office hours: M 4:15-5, W 4:15-6.

Final Exam Study Guide   Exam 1 Study Guide 

Homework 1 -- Solutions   Homework 2 -- Solutions 

Description of the Course

We will continue our work from last semester. We will talk about the L^p spaces, differentiablility and absolute continuity, general measure spaces, general convergence theorems, the Radon-Nikodym theorem, product measures, Fubini and Tonelli theorems.

Exams and Evaluation

Same as last semester: two evening exams -- 100 points each; homework -- 200 points; the final exam -- 200 points.

MTH 535 Materials

Tips for MTH 535 final: Tips for Exam 1 and Tips for Exam 2 posted previously apply. The Final will also include the part of the material covered after the part included in Exam 2 up to L^p spaces (not including L^p spaces.)

Tips for MTH 535 Exam 1   Tips for MTH 535 Exam 2    f_n converges to f in measure but not a.e. -- an animation (Just for fun.)

Class 23 -- PDF Notes   Class 23 -- Video Part 1   Class 23 -- Video Part 2

Homework 1 -- Selected Solutions   Homework 2 -- Selected Solutions
Homework 3 -- Selected Solutions   Homework 4 -- Selected Solutions  
Homework 5 -- Selected Solutions  

Homework 6 -- Selected Solutions   Homework 7 -- Selected Solutions

Homework 8 -- Selected Solutions   Homework 9 -- Selected Solutions

A proof of the Egoroff Theorem -- Video    A proof of the Egoroff Theorem -- PDF