Math 344

Fall 2015- The Humke Version

Homework

These assigned problems are **not** merely exercises,
but require much more thinking and explanation/proof. Each assignment will consist of a few problems, a list of definitions and a list of high priority theorems. First, get yourself a group of size a group of size 3 + ε where -1.01 < ε < 1.05. Here's what I'd like:

- Solve problems (not necessarily ALL problems) as a group and submit ONE pdf with each problem restated and your solution below as a proof. All group members should be listed as "authors." Attach your LaTeX source code to the back of the pdf. I treat this somewhat like scoring an ice skating competition. Problems have degrees of difficulty and solutions can be elegant, cool, pedestrian or even WRONG.
- Submit a pdf of the definitions in definition format; again with your group names as the authors.
- Submit a pdf of the HP Theorems with proofs in Theorem/Proof format; again with your group names as the authors.

After your group presents a solution, put the source code in our * Class Folder* titled with "problem_number.tex." I'll ask groups o post their theorems/proofs and also to add to an ever growing list of definitions. .

Some problems come with a price on their head; If you solve one of these the "reward" is a Proastie-Toastie redeemable for a liquid refreshment (or ice cream). To date, Proastie-Toasties have been redeemed in 11 states and 5 foreign countries.