Math 5615H Home Page
Fall 2009, University of Minnesota,
Twin Cities Campus
http://www.math.umn.edu/~gwanders/Math5615H/index.html
(URL of this page)
Prof. Greg W. Anderson
maintains this web page. Last modified Monday, Nov. 23, 2009.
Welcome!
Visit again soon---this page is frequently updated.
Course description
The course is the first semester of a two-semester-long
introduction to mathematical analysis at the advanced undergraduate
and beginning graduate level. This is the appropriate preparation
for a standard graduate course in real analysis or probability with
measure theory.
Contact information for the instructor
Prof. Greg W. Anderson (name)
School of Mathematics,
University of Minnesota, Mpls., MN 55455, U.S.A.
(mailing address)
Vincent Hall 460 (office)
(612)625-9524 (phone)
gwanders@umn.edu (email)
Office hours
- Tuesdays: 1:25-2:15pm and 3:35-4:25pm.
- Thursdays 1:25-2:15pm and 4:40-5:30pm.
- Until further notice, the Tuesday 1:25-2:15pm office hour
is held in VinH203a rather than my office.
- The other office hours are still held as per usual in my office.
Course information
-
There are 9 tests in total: 8 quizzes and 1 final examination.
- Quizzes are 20 minutes long, and given at the
beginning of class on Wednesdays. Here are the details:
- Quiz I: Sep. 16
-
The list of 10 problems on inequalities and mathematical induction
is the ``syllabus'' for the first quiz.
- Material from Chap. 1 of
the text will not be tested until the second quiz.
- (It is not too
early to start getting ready for the second quiz...)
- News bulletin, Wednesday, Sept. 16:
-
There were really only three (not four) possibilities for S in problem 3.
- Sorry about that. I will attempt to deal justly with the situation.
- ANSWER KEY.
- Quiz II: Sep. 23
- The quiz covers Chap. 1.
- I might also ask a very simple question about countable sets
(corresponding to the beginning of Chap. 2).
- See all lesson summaries posted up to and including Friday, Sept. 18
for sample problems.
- ANSWER KEY.
- Quiz III: Oct. 7
- The quiz covers Chap. 2 up to and including page 40.
- I will ask two types of questions.
- Type I: Give the definition of such-and-such a term in Chap. 2.
- Type II: Does x have property y? If yes, why? If no, why not?
- The quiz will be somewhat long, but no individual part should require a
lengthy answer.
- A verbatim copy of the quiz.
- ANSWER KEY: The definitions are in the textbook, so I don't have anything
I need to say about that. As for the last problem,
here is a detailed solution.
- Quiz IV: Oct. 21
- Any problem mentioned on any ``lesson summary'' from
Oct. 5, 7, 9, 12, 14, 16 is fair game.
- ANSWER KEY.
- Quiz V: Nov. 4
- Any problem mentioned on any ``lesson summary'' from
Oct. 19, 21, 23, 26, 28, 30 is fair game.
- ANSWER KEY.
- Quiz VI: Nov. 18
- Any problem mentioned on any ``lesson summary'' from
Nov. 2,4,6,9,11,13 is fair game, EXCEPT that the material
concerned with Theorem 1 presented on Nov. 13 will NOT be covered.
- ANSWER KEY.
- Quiz VII: Dec. 2
- Quiz VIII: Dec. 9
- Final exam:
- Time/day/date/place: 8:00am-10:00am, Wednesday, December 23,
in our regular classroom.
- Sorry, no special deals for alternate final exam times can be made.
- You commit to the stated final exam time when you sign up for this class.
- Text: Principles of Mathematical Analysis, Walter Rudin, Third Edition, a.k.a., "baby Rudin." We will cover Chap. 1--7 plus epsilon.
- First day handout.
This document spells out the rules and regulations for the course.
Read it carefully!
Lesson summaries and recommended homework
- Latest post: Monday, November 23, 2009.
General information
The fine print
- We will do our best to keep the web page for Math 5615H current.
But this web page is not intended to be a substitute for attendance.
Students are held responsible for all announcements and all course
content delivered in class.