Current Downloads
**Tips for the 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.) Study your notes for
that part. See you next week!

Tips for Exam 1
Tips for 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

Description of the Course

In this course, we shall explore the heart of real analysis: Lebesgue measure, the Lebesgue integral, convergence theorems, the classical Banach spaces, and other exciting topics.

Exams and Evaluation

Your grade will be based on exams, homework, and class participation. We shall discuss grading
during the first class. We will decide together
how many exams to have and how to schedule them. See you in class!