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HCSSiM 2012 | mathbabe
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Exploring and venting about quantitative issues
HCSSiM 2012
I was a senior staff member at the HCSSiM program in 2012, where I taught a workshop for the first half of the program, so 17 lectures, with my awesome junior staff Elizabeth Campolongo, Maxwell Levit, and Josh Vekhter.
I also gave a prime time theorem talk on the game of Nim.
I also wrote a bit about the tradition of Yellow Pig Day and the songs we sing every July 17th.
I also wrote a post about what is a proof and why mathematicians are trained to admit they’re wrong.
Here are the notes from the workshop:
- day 1: Notetaking algorithm, map of math, watermelon cutting problem, combinatorial arguments, induction
- day 2: More watermelons, all pigs are yellow, strong induction, notation, cross products of sets
- day 3: Equivalence relations, adding mod n, pigs-in-hole principle, gcd
- day 4: Arithmetic mod n, posets, and the complex numbers
- day 5: Modular arithmetic, cardinality, and the geometry of the complex plane
- day 6: What is a group, what is a graph, and what is the projective plane?
- day 7: The reals are uncountable, Chinese Remainder Theorem, and Dillworth’s Theorem
- day 8: More Dillworth’s Theorem, dihedral groups, and Euler’s totient function
- day 9: Cantor-Shroeder-Bernstein, homomorphisms, and Fermat and Wilson’s theorems
- day 10: Quadratic equations mod p, Cantor’s argument, and Euler characteristic of planar graphs
- day 11: Lagrange, primitive root mod p, and platonic solids
- day 12: More platonic solids and revisiting the complex plane with matrices
- day 13: Permutations, quadratic reciprocity, the alternating group, and transforming the plane
- day 14: Solving the Rubik’s Cube using group theory
- day 15: Sandpiles (Aaron Abrams’ notes)
- day 16: Degenerate and smooth cubics (Benji Fisher’s notes)
- day 17: Magic squares, the game of Set, probability functions on lattices, king chickens, the notetaking algorithm
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Hi Cathy! Are you going to teach the 2013 camp?
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no, sorry!
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I just dropped my daughter off at HCSSiM 2013, with high hopes for all she’ll learn, and how much fun she’ll have! She has never found a group of kids that she felt were “like her”, and I hope she will there. I wanted to thank you, as I learned of the program through your blog. (I heard of your blog at SPARK at MIT.) Sorry you won’t be there this year.
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YES!! She will love it.
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Hi!! I just found about this post from the yellowpigs.net website! It’s really nice seeing how different workshops can lead in different directions and approaches – that was one of my favorite characteristics of the summer studies 🙂
I hope to return to Hampshire in the future, maybe as a Jstaff(?) Are you planning on returning in 2023 YP Day (for the 51st summer?)
– Roy Long, HCSSiM ’19
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Hi Cathy, I teach social science ethnic studies and I want to show my students your documentary film “iGenuine” that you made in 2013. It is great documentary but I cannot find it anywhere. Can you please help? I would greatly appreciate a copy of it some how.
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