MAT 337 - REAL ANALYSIS

Announcements: Please check here regularly for new announcements.

Jan. 7. Please note the change in the date of the second midterm: Mar. 27, instead of Mar. 25 as announced in class today.

Jan. 9. The first problem set is posted below, due Wed. Jan. 21.

Jan. 15. There has been a lot of confusion around various versions of the text. The bottom line is that you should have the (blue) one sold in the bookstore produced by utpprint, not the purple reprint made by the publisher which has many typos. If you bought the purple from the bookstore they will exchange it for the right one. If you have any problems with the exchange ask to speak to Susan McIlroy. If you have the (now out of print) published hardback you should be aware that it differs from the utpprint reprint. To accommodate those people there is a link below to the pages of the text which are referenced in PS 1 (problem set 1). If you have this version it would be best if you try to resell it and buy the utpprint version.

Due to the confusion the due date for PS1 is extended to Monday Jan. 26.

Jan. 16. Office hour tomorrow is cancelled.

Jan. 19. The author has assured me that the utpprint version is the same as the published one, with the exception of Chapter 2, where one section has been added. So, the published version should cause no trouble from now on. The purple version is the only bad guy.

Jan. 25. PS2 is now posted below, due on Fri. Feb. 6

Jan. 26. Promised hint: just use the fact that 3^{n+1} + 5^{n+1} < 5(3^n + 5^n). No induction necessary.

Jan 30. Important For PS2 you should hand in only the following problems for grading: 2.9E, 3.1F, 3.2D, 3.4E, 4.2C.

Feb. 3 PS3 is now posted below, due Fri. Feb. 27

Feb. 9 I will be away Wednesday and Friday this week. My student Vladimir will be covering the lectures. No office hours this week.

Feb. 11. Sample solutions for PS1 and 2 are now posted below.

Mar. 2. PS4 is now posted below and due on Mar. 16.

Mar. 17. PS5 is now posted below and due on Mar. 30. An earlier version was posted which said to hand in only the starred problems but there were no starred problems. This has been corrected.

Apr. 9. I will have office hours on: Mon Apr 20 11-1, Mon Apr 27 2-4 and Fri May 1 10-12. These may be subject to change if some committee meetings are scheduled in conflict with them, so please check back here before coming.

Please note that the first office hour above has been changed from 10-12 to 11-1.

PS5 is now graded and it, or any other old work, may be picked up at my office tomorrow Wed. Apr 14 from 11-1, or later during any office hour. The solutions to it are posted and solutions to PS6 will be posted tomorrow latest.

The following are the sections of the book which will be covered on the exam: Chapt. 2 (all); Chapt.3, except 3.3; Chapt. 4 (all); Chapt. 5 (all); Chapt. 6 all except 6.5 and 6.6; 7.1, 7.2, 7.3; Chapt. 8, all except 8.6. You are not responsible for the construction of the real numbers in Chapt. 2. Apr. 24. Please note that the office hour for Monday Apr. 27 has been chenged from 10-12 to 2-4.

Text: Real analysis with real applications, by Davidson and Donsig

Other References

Principles of mathematical analysis, W. Rudin

Real analysis, F. Morgan

Real analysis, N. L. Carothers

Real analysis, Bartle and Sherbert

Real analysis, Haaser and Sullivan (Dover paperback - cheap!)

Elementary real analysis, Bruckner and Thomson

Grading scheme: Term work will consist of 6 problem sets, to be handed in for grading (not all problems will be graded), for a total of 20% of your course mark and two in-class midterms each worth 15% of your course mark. The mid-terms will be held on Wed. Feb. 25 and Fri. Mar. 27, in class. The final exam will be worth 50% of your course mark.

Problem Sets