UC Davis Math 245 -- Enumerative Combinatorics
Winter 2023

Basic information

    Storer Hall 1342, MWF 12:10-1:00pm

    Prof. Fu Liu
    office: Mathematical Sciences Building (MSB) Room 3220
    office hour:

  • Weeks 1-4: W 9:30-10:30am or by appointment
  • Starting from Feb 6: M 9:30-10:30am or by appointment
    email: (Please include "Math 245" in your subject line.)

Grading: weekly homework 75%, take-home final 25%.
Final: Final is here. It is due on Thursday March 23 by noon. Please read the instructions inside the pdf document.

Course Webpage: http://www.math.ucdavis.edu/~fuliu/Teaching/Math245

Textbook and Syllabus

Enumerative Combinatorics, Volume 1, (often referred to as EC1), by Richard Stanley. You can download the 2nd edition of EC1 and its errata from this webpage.

We will first review basic enumerative combinatorics in chapter 1, and then cover topics on integral polytopes and Ehrhart theory. We will finish with parts of chapter 3 in EC1.

Reference for material on Ehrhart theory:

  • Compute the Continuous Discretely: Integer-point Enumeration in Polyhedra, by Matthias Beck and Sinai Robins. A pdf version of the second edition is available on here.


Homework will be assigned on the homework webpage, and collected in the class on the due date. You will have at least one week between the homework is posted and the due date. Please go to the webpage for details.