This class will extend basic mathematical concepts introduced in high school to a more sophisticated level and apply them to solving problems and puzzles. We will cover probability, combinatorics, geometry, algebra, and number theory. Emphasis will be placed on conceptual understanding and connections between mathematical ideas rather than on computation. These techniques will be useful in high school mathematics competitions as well as in college. All levels of problem-solvers are encouraged to enroll!

Linear algebra and the theory of finite-dimensional vector spaces is key to any student in physics or mathematics. This class will take a proof-based approach to vector spaces, linear maps, inner products, eigenvectors, and eigenvalues. Proof techniques will be taught along the way. Since each class will build on the previous class material, skipping classes is not recommended.