University of Massachusetts, Amherst
Math 499C

Capstone Course in Mathematics
Fall 2006

This is the homework page for Math 499C; occasionally if you don't find something you are looking for here, check the 499C page on "Mishka's" home page. Here is a link back to the main page for Math 499C.

Homework 1 (pdf) HW1 is due on Wednesday September 13.


Homework 2 HW2 is due on Wednesday September 27.

Please Read the following carefully; it is very important to comply with the Rules discussed below.

Homework 3 (pdf) HW1 is due on Mon October 16 -- check back later I might be adding more problems to it probably.
Some Homework 3 Hints and Solutions are posted (10/20).

Worksheet 4 is now available.

Homework Rules and Guidelines: Why are you are attending a University instead of studying on your own? So that you can be part of an interacting academic community. So, when you get stuck, seek help from your instructor, other students, classmates ...! I especially recommend that you work with your fellow students in groups. If you are stuck on a problem and seek help from an instructor or a fellow student, you owe it to yourself to aim for an understanding of the concepts and ideas that come up in the discussion (do not just memorize the series of steps leading to the solution). Then, go home and reconstruct the argument for yourself in the privacy of your own brain, to make sure you are not merely reproducing mindlessly something you have not thought through. Remember that during tests and quizzes, you will have to rely on your own understanding of the material.

Here are the rules for collaborating on homework problems:

I. You must list the names of all people with whom you discussed each specific problem.
II. You MUST write your solutions completely independently.

Failure to comply with these rules may result in disciplinary action. Homework will be due on Wednesday at the start of lecture, unless othewise stated. Late homework will not be accepted. Please note that the lowest homework grade will be dropped.