Brandeis University
Putnam Practice Sessions
in the Math Common Room (Goldsmith 300)
Thursdays 2:45-4pm
We will have the LAST meeting of the Putnam Problem Sessions on Thursday, Dec 4 at 2:45pm.
Please feel free to come just for the PIZZA !
We will try to solve math problems such as the problem below.
Problem from last week
For which real numbers a_{0} does the sequence given by a_{n+}_{1}=2a_{n}-n^{2} have a_{n}>0 for all n?
date, time | what |
---|---|
Sept 25, 2:15-3:30 | Organizational meeting: about 7 students came to the meeting and we have a lively discussion and solved some problems. |
Oct 2, 2:45-4 | Second meeting. About 8 of us tried to do several problems and, with teamwork, we solved one. This was a fun problem: Suppose that f,g are two differentiable function on the real line so that f(x+y)=f(x)f(y)-g(x)g(y), g(x+y)=f(x)g(y)+f(y)g(x) and f'(0)=0 . Then show that f(x)^{2}+g(x)^{2}=1 for all x |
Oct 9 | Yom Kippur. No meeting. |
Oct 16, 2:45-4 | Third meeting. About 6 of us met and we had some fun but I don't remember what happened. |
Oct 23 | MEET THE MAJORS. No Putnam meeting. |
Oct 30, 2:45-4 | Fourth meeting. There were 6 of us. We solved several problems but we gave up on the group theory problem above. |
Nov 6, 2:45-4 | Fifty meeting. There were only 4 of us but we solved a lot of problem and we ate all (2) pizzas! |
Nov 13, 2:45-4 | Second to last meeting. There were a bunch of us and we solved several problems and ran out of food! |
Nov 20 and 27 | No meetings. I was in the UK. (I am back now.) |
Dec 4, 2:45-4 | Last meeting! I will make sure we have plenty of pizza for the last meeting! |
Dec 6, 10-1, 3-6 | The Putnam!! Are you ready for this? I will supply lunch. Can you solve one problem in 3 hours? |
Updated: 12/2/08, 1pm.