MATH 561 A: Foundations of Combinatorics

First quarter of a three-quarter sequence on combinatorics, covering topics selected from among enumeration, generating functions, ordered structures, graph theory, algebraic combinatorics, geometric combinatorics, and extremal and probabilistic combinatorics. Prerequisite: familiarity with linear algebra, discrete probability, and MATH 504, 505, 506, which may be taken concurrently.