Real Analysis (MATH 523A-B)

Fall, 2019 -- Spring, 2020

Instructor: Lennie Friedlander

Office: ENR2, Room S351 tel: 6212742

Office hours: M 11:00-11:50, W 2:00-2:50

Class meets on MWF from 10:00 to 10:50 in MATH. 501

Textbook: Real Analysis, by Elias Stein and Rami Shakarchi



The goal of this course is to give you working knowledge of basic concepts of Real Analysis and of the elements of the Functional Analysis. ``Working knowledge'' means that you should be able to apply principles and methods that you learn to solving concrete problems. I will assign problems on a regular basis. Homework assignments and the dates when they are due will be posted on the web site. Every week Michael Phizicky will conduct a one-hour discussion session, TBA.

In the Fall, there will be one mid-semester test on Friday, November 8, and the final exam on Friday, December 13, from 10:30 to 12:30. Final grades will be assigned based on the results of these exams. No formal point system will be used. The grade of ``I'' can be awarded only in an exceptional case to a student who has a valid reason for not completing the course in time (illness, solid family reasons), and who has shown a passing performance in class.

In the Fall semester, I intend to cover chapters 1-3 and a part of chapter 4 from the textbook. From time to time, I may write notes, which will be posted on the web site.

In the Spring Semester, I will cover the second part of Chapter 3, Chapters 4, a part of Chapter 5. and Chapter 6. There will be two midsemester tests, on February 28 and on April 3. There will be a take-home final exam; the problems will be distributed on April 29, and the solutions are due on May 6. The grade "I" policy is the same as in the Fall.

Problem sets:
1. Due on September 4: Problem set 1
2. Due on September 13: Exercises 2, 5, 11, 16, 19, 20, p.p. 37--43; problem 1, p. 46
3. Due on September 25: Exercises 7, 6, 13, 24, 37, p.p. 39--45; problem 5, p.48
4. Due on October 4: Problem set 4
5. Due on October 14: Problem set 5
6. Due on October 28: Problem set 6
7. Due on November 11: Problem set 7
8. Due on November 27: Problem set 8
9. Due on January 31: Exercises 5, 11, 16a, 30, 31, p.p. 146--152; Problem 7a, p. 154
10. Due on February 14: Exercises 19, 20a, 21, 22, 24, p.p. 148--150
11. Due on February 21: Problem set 11
12. Due on March 6: Exercises 8, 9, 13, 16, 26, 27, p.p. 194--199


Announcements: As you already know, the classes will start on Wednesday, March 18, in the on-line mode. Through d2l, I have sent the link to the Zoom sessions. It is https://arizona.zoom.edu/j/552497272 Please let me know if you have problems with d2l/zoom. In particular, let me know if you have not received my messages through d2l. I hope that the transition will go smoothly. Wish everybody good health.