Real Analysis I
Fall 2015- The Humke Version
Here is a list of the first few weekly assignments for the course.
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:
Every group will want to present several solutions in class during the course of the term. I'll set aside time on Thursdays for solution presentation
and ask for volunteers, giving preference to groups that haven't presented in a while. BUT, if you have a really cool proof make sure to let me know and insist on board time!
- 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.