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Undergraduate Courses 21-301

Fall or Spring: 9 units

This course gives an introduction to combinatorics with a focus on the asymptotic behavior of discrete objects. The main topics are elementary counting, matchings, inclusion/exclusion, generating functions, discrete probability, the probabilistic method and Ramsey theory. Brief introductions to extremal combinatorics and the linear algebraic methods for extremal combinatorics are also given. 3 hours lecture. Prerequisites: 21-122 and 21-127 or permission of the instructor.