Math 5463 (Real Analysis II)

Fall 2012

Instructor:

John Albert

Office: PHSC 1004, Ext. 5-3782.

Office hours: Mondays and Fridays 2:30 to 3:30, Thursdays 10:30 to 11:30 (or by appointment)

E-mail: jalbert@ou.edu

Announcements

Syllabus for Ph.D. qualifying exam.
Final exam: solutions.
Final exam: questions.
Review sheet for final exam.
Solutions to four problems on outer measure from Royden and Fitzpatrick. (This is the 2nd corrected version --- I've fixed up the garbled solution to problem #27)
A discussion of problem 2 on assignment 5.
Second exam: solutions.
Second exam: questions.
First exam: questions and solutions.
Review sheet for first exam.
Here is the syllabus for this course.
The midterm exams are scheduled for Friday, Feb. 22 and Friday Apr. 12.

Assignments

Assignment 1 (due Friday, Jan. 25): 7.1.3, 7.2.13, 7.2.14.
Assignment 2 (due Friday, Feb. 8): 7.3.26, 7.4.39
Assignment 3 (due Monday, Mar. 11): Problems on this sheet.
Assignment 4: (due Friday, Apr. 5): Do the three problems on this sheet.
Assignment 5: (due Wednesday, Apr. 24): Do the two problems on this sheet .

Miscellaneous links

Someone asked in class one day about a simple example of an everywhere continuous, nowhere differentiable function. A fairly simple example is given in this article from the 1953 American Mathematical Monthly by John McCarthy (the man who coined the term "Artificial Intelligence").
We talked a bit in class one day about computer proofs. Alok has suggested that an interesting reference on this topic is the book "A = B", by Herbert Wilf.