February Lectures

Week of February 1-5

Feb 2: Stirling numbers. Cycles in permutations.
Feb 4: No small cyles and all even cycles. Exponential formula for labelled objects. Examples: 2-regular graphs, graphs by components.

Week of February 8-12 (tentative)

Feb 9: Rooted labelled trees. Exponential formula for unlabelled objects. Integer partitions.
Feb 11: Rooted unlabelled trees. Finite fields. Brief comments on Dirichlet generating functions and Mobius inversion.
Feb 11: (this class substitute the class of Thursday February 25):
Restricted components. Bivariate generating functions and moments. [A1 handed in; A2 handed out.]

Week of February 15-17 (tentative)

Reading week: no classes this week.

Week of February 22-26 (tentative)

Feb 23: No class (class given on January 28).
Feb 25: No class (class given on February 11).

To January lectures.
To March lectures.