Math 5616H: Honors: Introduction to Analysis II. Spring '06

Last changed: May 18,'06

The class meets at 12:20pm MWF, in Vincent Hall 20.
Instructor: Max Jodeit ("Yodite") VinH 258, 5-3855, jodeit@math.umn.edu
Office Times: MWF: 1115-1200 and 1315-1355

Text: Principles of Mathematical Analysis by Walter Rudin

News and Announcements will go here
Links to PDF documents
a Link to the grader's Web site


Questions about the Final Exam, May 9, 1030--1230, in VinH 20.
(Q1) What will the level of difficulty on the Final be?
(A5) Roughly the same as Tests 1 and 2. The Final will mostly be based on Test-question
material, Homework problems, Special Problems. There will be some emphasis on recent
material as well. You will have two hours -- not an hour and forty minutes for up to
20 problems.
NEWS May 18: I'll check again for people who want to look at their
Final Exams tomorrow tonight and tomorrow morning. So far only 3 people have
signed up for times, so my office time is likely to be short.

May 19 times scheduled: time, # using that time
11:30 1
11:45 1
12:00 1

NEWS May 14: I tentatively plan to be in or near my office Friday May 19.
My earliest arrival time could be 10:15am, my latest departure time 1:45pm. I'll
reserve 15-minute blocks of time for up to three of you at a time to look at your
Final Exams. Ask for a variety of times -- I don't plan to sit around for hours
between people this coming Friday. I plan longer stays beginning about June 19.
If enough of you request it I can post the Final Exam questions and you can ask me
questions by email about them or about your answers between now and May 19.

NEWS May 13: Grades have been submitted to the Registrar. You should be able to view
your grade by 4:50pm May 14. I wish you well!

NEWS May 8: None of the problems on Assignment 13 is the basis for a problem
on the Final Exam. So, don't worry about not having your paper. I'll return the papers
while you are taking the exam.

NEWS May 4: Tomorrow, May 5, is the last day of class. I'll be in or near my
office until 4:45 tomorrow, Friday May 5. Class will end early so that you can fill out
course evaluation forms. I plan to get to class early to take some questions.

NEWS Apr 30: A solution of Special Problem 7 has been posted. "Assignment 14"
has been added. It's not for turning in; it has suggested questions to work on: the
best preparation is to work lots of problems!

NEWS Apr 28: A solution of Special Problem 6 has been posted, average about 10.
I plan to be in (or near) my office until 4pm Monday May 1.

NEWS Apr 24: In Special PROBLEM 7, do not use eigenvalues! Assignment 13, the
last one to turn in, is available. There will be an "unofficial" assignment to
help with your preparation for the Final.

NEWS Apr 20a: The note on path-connectedness of open sets in R^n
is posted. An error in Riemann-Stieltjes Section 6 has been corrected.
There is a new note, about the boundedness issue in the proof that inverting
invertible matrices is a continuous operation in the matrix norm.

NEWS Apr 18: Assignments are updated: Assignment 12, Special Problem 7.

NEWS Apr 10: In Special Problem 6, Chapter 7 # 13,
13(b) is stated differently in different copies of Rudin's book, Third Edition!
In some, the convergence of the subsequence is to be shown uniform on the whole line.
In others it is to be shown uniform on compact subsets of the line.
Change 13(b) to "uniform convergence on compact subsets," and provide a counterexample
to show why the change was needed.
Assignments are updated: Assignment 11. The previous NEWSes have been moved to
"Old News," via a link below.
The space just above the new NEWSes will be set aside for questions about the Final Exam.

Old News.  April 10



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

Syllabus and Assignments     Assignments 4/30     Syllabus 4/2

     A solution of Special Problem 7  4/30

     A solution of Special Problem 6  4/28

     A note on matrices and their norms  4/20a

     Path connected: open sets in R^n.   4/20

     Special Problem 4: a partial solution   4/4

     Special Problem 5: a solution   4/1

     Riemann-Stieltjes integrals, Section 1,   4/2

     Riemann-Stieltjes integrals, Section 2,   3/24

     Riemann-Stieltjes integrals, Section 3,   4/2

     Riemann-Stieltjes integrals, Section 4,  3/24

     Riemann-Stieltjes integrals, Section 5, later draft   4/2

     Riemann-Stieltjes integrals, Section 6,  4/20

     On Riemann-Stieltjes integrals, first version   2/12

     On pi and a l'Hospital example   2/7

    Discontinuities of an increasing function   1/21

Follow this link to download the latest Adobe Acrobat Reader from Adobe at no charge.

Jodeit's Home Page
Mathematics Home Page

Copyright 1997-2006, Max Jodeit ... [ jodeit@math.umn.edu ] [this page is http://www.math.umn.edu/~jodeit/]
The University of Minnesota explicitly requires that I state that "The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota." This applies as well for the pages linked to this one.