Current Downloads
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