Math 351 - Principles of Analysis
(Section 002 Winter 2006)
Team Homework Assignments
Instructor: Richard
Kollár
For information on the course and my
contact information, please visit the Math 351 homepage.
The following assignments can be done
either individually or in a group (up to 3 members); it is your choice. If
working in a group, you hand-in only one copy of the assignment per group but
you must include a cover sheet that includes names of team members, list of
submitted problems and a short description of your meetings. You should also
include comments on difficulties encountered while solving the given problems.
Team
Homework Assignment #1 [Due Friday January 20 (in class)]
Do exercise
1.12. Also carefully show that n!/(k!(n-k)!) is an integer for all nonnegative
integers n and k=0,1,...,n. Your proof should be an induction argument. But be
careful! There are two parameters, namely k and n. So you will have to give the
set up some thought. (Also, discuss whether the binomial theorem can be applied
if n is not an integer or not? If the answer is positive, explain what would
need to change. Note that this part of your team homework won’t be scored.)
Team Homework Assignment #2 [Due
Friday January 27 (in class)]
Download the study material (pdf file). Do two problems out of 1.1. to 1.4. Also do
1.6.,1.7. and 3.
Team Homework Assignment #3 [Due
Friday February 3 (in class)]
The same study material as for
Assignment #2. Do one of the problems 2.1. or 2.2. Do one of the problems 2.3.
or 2.5. Do one of the problems 2.4. or 2.6.
Team Homework Assignment #4-#5 [Due
Wednesday February 15 (in class)]
Download the study material (pdf
file). Do all the problems. This is an important homework! I suggest to
everybody to try all problems individually first and then to compare answers
with the other members of his/her team. All instructions are included in the
file. Note the change of the deadline! Also, don’t forget that if you want you
may resubmit the problem 2.5 (or 2.3) from the previous team homework. Note
that this is due Friday, February 10.
Team Homework Assignment #6 [Due
Friday March 17 (in class)]
Do problems 17.13., 17.14. and 18.2.
from the book.
Team Homework Assignment #7 [Due
Friday March 24 (in class)]
Download the study material (pdf
file). Do both problems completely. This is an important homework! I
suggest to everybody to try all problems individually first and then to compare
answers with the other members of his/her team. All instructions are included
in the file.
Team Homework Assignment #8 [Due
Friday March 31 (in class)]
Do problems
23.7, 23.8 and 23.9 from the book.
Team Homework Assignment #9 [Due
Friday April 7 (in class)]
No
Team Homework this time.
Team Homework Assignment #10 [Due
Friday April 14 (in class)]
Do problems 29.10,
29.12, 30.7, 31.4.
Page Updated: 4/3/2006