Winter 2014In the winter quarter I will teach Math 462, again titled Combinatorial Theory. This quarter we will (mostly) eschew enumeration in favor of graph theory. We will use the book Introduction to graph theory by Douglas West. Students should be comfortable reading, constructing and writing proofs.
Autumn 2013In the Autumn quarter of 2013 I taught Math 461, Combinatorial Theory. This was an introductory course for advanced undergraduates. We covered enumeration, particularly: Basic counting, ordinary generating functions, Polya's picture series, partitions and Ferrer's diagrams, recurrence relations, inclusion-exclusion, basic exponential generating functions, Stirling numbers of the first and second kind and Bell numbers.
Previous teachingAt the University of Washington I have taught the following courses.
Math 308, Matrix Algebra. This is a standard first course in linear algebra.
Math 326, Advancded multivariable calculus II. An abstract course covering differentiation in higher dimensions.
Math 307, Introduction to Differential Equations. A standard undergraduate course in differential equations. At the University of California in Davis I taught the following courses.
Math 16B, second quarter Calculus for liberal arts majors.
Math 16, Precalculus.
Math 280, a graduate topics course on matroids.
Math 67, a first course in linear algebra with an emphasis on abstract arguments.
Math 145, Combinatorics.
Math 16C, third quarter Calculus for liberal arts majors.