Combinatorics: bijections, catalan numbers, counting in two ways - Canadian 2008 Winter Training.Counting in Two Ways - MOP 2007 Blue and Black group.Contains many coloring and tiling problems. Algebraic Techniques in Combinatorics - MOP 2007 Black GroupĪpplications of linear algebra and posets to olympiad-style combinatorics problems.ĭiscussion of tiling boxes with bricks.Linear algebra tricks for the Putnam - MIT UMA Putnam Talk.Determinants: Evaluation and Manipulation - MIT UMA Putnam Talk.Roots of unity, integer divisibility, intermediate value theorem, Lagrange interpolation, Chebyshev polynomials, irreducibility criteria, and Rouché’s theorem. Polynomials - Canadian 2008 Summer TrainingĪdvanced techniques in polynomials.Inequalities - Canadian 2008 Winter TrainingĬontains a short essay discussing the IMO 2001 inequality.Integer polynomials, including various irreducibility criteria. Integer Polynomials - MOP 2007 Black group.If you don’t know where to start, I recommend Cyclic Quadrilaterals-The Big Picture and Three Lemmas in Geometry. Here are some of my handouts and training material. I have taught classes at various math olympiad training programs. Handouts from Canadian IMO Training camps.
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