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. .