Math5616S04.

Math 5616H: Honors: Introduction to Analysis II. Spring '04

Last changed: May 5,'04

The class meets at 2:30pm MWF, in Vincent Hall 1.
Instructor: Max Jodeit ("Yodite") VinH 258, 5-3855, jodeit@math.umn.edu
Text: Principles of Mathematical Analysis by Walter Rudin

News and Announcements will go here

NEWS May 5:

"Trigonometric Delights," Eli Maor 5/4
Look in Chapter 15, Fourier's Theorem, p 205, for Euler's
\sum (1/n^2) formula, and compare to Chapter 8 # 14. Tip from Ms. Lande.

The Final Exam will be Tuesday May 11, 1330-1530 (1:30-3:30), in AkermanH 319

NEWS April 27b: A solution of the ``extra'' problem on Asst 10 is up.
Updated Assignments are posted.
Solutions for Test 3: up.

MathWorld; I entered \zeta(2). 4/27
Then I got info about \sum (1/n^2) (=\zeta(2))! Tip from Mr. Wu.

NEWS April 22: A note on "Un-ordered" summation is up.

NEWS April 21: Anent SP 5, in Ch 7, 13b, uniform convergence
is to be on compact sets, not the whole line!

NEWS April 14: Updated Assignments are posted.

NEWS April 8: See below for Test 3 Questions.

NEWS April 7: A corrected version (typos)
of the Weierstrass note is posted.
Test 3 will be Monday April 12, at AkermanH 319 (again).
Some items below have been moved to "Old News."

NEWS April 6: Updated Assignments are posted.

NEWS March 30:
A note on the proof of the Weierstrass Theorem has been posted.
Test 2, April 12, will again be at AkermanH 319.

NEWS March 25: The note on Riemann-Stieltjes integration
has actually been posted...

NEWS March 24: Updated Assignments are posted.

NEWS March 12: Updated Assignments are posted.
A note on Riemann-Stieltjes integrals (including BV!) is posted.
Have a good Spring Break!

TEST 3 QUESTIONS

4/8: What will be covered in Test 3?
Homework due after March 8 and before April 1,
7.17 thru 8.1 (not the derivative, tho), Bounded Variation
(in the Riemann-Stieltjes note) thru the Jordan Decomposition,
(27), but not (29).

Old News. 4/7

The links below are to PDF documents. They require Adobe's Acrobat Reader.

Syllabus and Assignments Assignments 4/27 Syllabus 1/19

A solution of that extra problem. 4/27

Test 3: some solutions. 4/27

On Un-ordered summation. 4/22

An expansion of part of the proof of 7.26. 4/7

Riemann-Stieltjes integration and BV. 3/25

Test 1: some solutions. 3/6

The functions that are Riemann integrable -- and more: v4. 2/18

On the Riemann-sums approach. 1/28

The Recursion Theorem: proof & example: (3.7). 11/22