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.