May 13, 2021
Bryn Mawr, PA, USA
It's undergraduate- and graduate-level mathematics not usually encountered in high school. (You may correctly conclude that calculus is not one of the topics on offer---we don't want to spoil anyone's fun!) The core of the curriculum is discrete mathematics, with additional material determined partly by the interests and direction of the class. Topics for Root Class will certainly include combinatorics, graph theory, affine geometry, and theoretical linear algebra, and are likely to include some proof techniques, number theory, probability, group theory, and cardinality. Some of that may sound familiar, but at MathILy we approach the material with perspectives that will be new to you. Each topic will be treated in depth, or at an advanced level (or both!). There is additional material available for returning students and new students with particularly strong backgrounds. If there's a topic you want to learn about and your class doesn't discuss it, ask that it be offered during Week of Chaos! Topics could include alternate geometries, ciphers and cryptography, combinatorial optimization, generating functions, information theory, knot theory, Markov chain modeling ... and that's just from the first half of the alphabet. For 2017, the Branch Class topics are likely to include topological graph theory and the mathematics of paperfolding.