Math 4443/5443

Introduction to Analysis II

Spring 2009

Osage Orange (Maclura Pomifera). This tree's strong, springy wood was used by Native Americans to make hunting bows. It is a member of the mulberry family, and the fruits have a pleasant citrus smell, but unfortunately are not good to eat. (This image taken from http://fireflyforest.net/firefly/2005/10/25/osage-orange .)
Instructor: John Albert
Office: PHSC 1004
Office hours: Mondays and Wednesdays from 2:30 pm to 3:30 pm, Thursdays from 10:30 am to 11:30 am (or by appointment)
Phone: 325-3782
E-mail: jalbert@ou.edu

Course information

Solutions to problems on the last assignment. The assignments themselves are already graded, and are outside my office door for you to pick up.

Problems on the final exam.

Review sheet for the final exam.

Take-home quiz, due Wednesday, May 6.

Problems on second exam.

Answers to problems on the second exam.

Review sheet for the second exam.

Problems on first exam.

Answers to problems on the first exam.

Review sheet for the first exam.

Syllabus for this course.

The text for this course is currently on reserve in the Mathematics Library, which is located on the 2nd floor of the Physical Sciences Center.

Exams

Homework

Sometimes I post an assignment in advance but change it in class the day before it's due. If you miss a class you should check this web page after class for the final version of the next day's assignment.

Assignment

Due Date

Problems
1 Mon. Feb. 2 6.2: 6, 7, 13; 6.4: 7. (MATH 5443 only: do 6.3: 7, 8.)
2 Mon. Feb. 9 7.1: 8, 9, 13, 14. (MATH 5443 only: do 6.4: 8.)
3 Mon. Feb. 16 7.2: 8, 10
4 Mon. Feb. 23 5.4: 7; 7.2: 16
5 Wed. Mar. 11 7.3: 10, 11, 13, 14. (MATH 5443 only: do 7.3: 21.)
6 Wed. Apr. 1 8.1: 2, 12; 8.2: 1, 7
7 Mon. Apr. 13 8.2: 12, 14, 16; 8.3: 8 (MATH 5443 only: do 8.3: 9.)
8 Mon. May. 4 9.3: 5, 10; 9.4: 6, 17; (to be continued)

References and Links

Suppose (f_n) is a sequence of continuous functions defined on a set A, and suppose f_n converges to a function f on A. Does it follow that f is also continuous on A? The answer depends on what you mean by "f_n converges to f on A", and the distinctions involved are a little subtle. Cauchy himself, the father of Real Analysis, seems to have tripped up on this point. See the article "Cauchy's Famous Wrong Proof", by V. Frederick Rickey.