Several math topics that have nothing to do with each other. Topics will probably include: Why math might be broken (Godel's Incompleteness Theorems) The cost of anarchy (Braess's Paradox) Using physics to solve math problems (Buckingham π Theorem; AM-HM inequality)

Some problems aren't just difficult for computers, they're impossible! Starting only with simple assumptions about what computer programs can do, we'll show that you can't reliably detect when a program has an infinite loop. Using that we'll prove Rice's Theorem, a shockingly powerful statement about the impossibility of many problems we might like to solve.

The following class description was written before Trump was elected: "I don't know who the 45th president is, but I do know that there are much better ways we could have chosen one: we're flying half-blind by having voters only vote for one candidate. In this class we will discover and compare the better voting systems that are possible when voters rank ALL the candidates."

Learn to solve (and write) puzzles like these: primepuzzles.wordpress.com

The results are in: the plants you've been singing to grew taller than the others! ...by a millimeter. Have you really discovered that plants like singing, or has randomness struck again? (By the way, please don't actually do this silly experiment.) Come learn about statistical significance tests: a powerful tool we can use to decide how likely it is that an experiment's results are meaningful. There are a bunch of such tests, actually, and computers are quite good at doing them for you, so we won't delve into the details of any single one. Instead we'll focus on the intuition behind all of them: taking this class should help you use and interpret any significance test and be a more discerning consumer of statistical information (and maybe do much better in science fairs)*. *according to purely anecdotal evidence