I had a lot of fun with class this week, although I don't think I did that well a job with the section as my students are clearly confused by some parts of it. I have some plans for next week to fix these confusion, hopefully I'll be able to teach it better so that they can understand it better. This week I had a lot more work than usual with the class as I decided to write some Webwork* problems and it took a while to understand the programming language and "make it work" (-Tim Gunn). I also had to write the homework assignment for the week, which I think I did a good job of, you can find it
here.
I also had two classes in my problem solving club where I taught Binomial theorem, Pascal's triangle, combinations, the separating method (for counting), Pompieu's thereom (Geometry) and did easy problems to lead to Putnam problems that use those theorems in their proofs. Next Tuesday we'll go through the proofs of those theorems and then teach some other common problem solving techniques.
The other math included Number Theory Seminar which was a really good talk by Carl proving the Polya-Vinogradov theorem and a cool application (the least non-quadratic residue mod p must be < sqrt{p}logp). There was also a cool Colloquium lecture on trying to measure happiness, that used an experiment from Florida where people rated words as good-bad on a scale from 1 to 10. From those numbers they then computed the average valence of all songs recorded in English in the last 40 years, plus State of the Union addresses and blogs (using the statistics compiled by wefeelfine.org). Really interesting cool stuff, it looks like gender and age does not impact happiness.
Besides math, there was salsa dancing on Thursday which was fun as I love dancing with Yuliia. Our relationship just keeps getting better and better, I am so happy with her.
On Friday night we went to hang out with Andrea and Katy to Claremont. Asa came with us and we watched
Taken the action movie starring Liam Neeson. The movie was amazing, this is what action movies are supposed to be like. Full of suspense, good action scenes and a great plot. Best action movie I've seen last summer.
After the movie, we went to a bar and then went to play pool, we played four rounds of pool and it was fun. Yuliia is pretty good at it, I think Asa was the best of the bunch. I had a cool conversation with Asa, it turns out he's also into ping pong and we're planning on playing one of this days. Next week we start a soccer tournament (three month long) where I will be the goalkeeper. It should be very fun because the players seem to be very good, they will probably be much better than me, so I'll have a lot of action trying to stop goals.
Yuliia and I watched another movie together this week, we watched
Dumbo. I didn't remember the movie and I was surprised how short it is (65 minutes), but it also was a bit boring although it is a very nice story and the end seems to come a little too fast (just as he starts flying). Good but not great, although definitely nice for kids.
*Webwork is a computer program that has a huge set of all kinds of Calculus problems to give as homework sets where the computer grades on the spot so the student can try again.