Math 7012: Enumerative Combinatorics (Graduate level)
Fall 2015, Georgia Tech
Instructor: Josephine Yu (jyu@math.gatech.edu)
Office: Skiles 250
Email: jyu@math.gatech.edu
You are encouraged to contact me (and your classmates) through Piazza.
Class: Tuesdays and Thursdays, 1:35 pm - 1:55 pm, in Skiles 257
Office hours: Mondays 1-3pm and by appointment, in Skiles 250.
You are also welcome to talk to me after class (unless I have a meeting to go to).
Course web page: https://people.math.gatech.edu/~jyu67/teaching/2015Fall7012/
Syllabus: here
Schedule: Tentative Schedule. I will be updating this throughout the semester.
Piazza: Sign-up link
Course Description
Main textbook: A Course in Enumeration by Martin Aigner. Available online through GT library.
Other texts abd resources (all available online):
Tentative list of topics: basic counting principles, generating functions, recurrence relations, combinatorial reciprocity, Ehrhart theory, combinatorial species, tree enumeration, sieve methods, catalan numbers, posets, Moebius inversion, hyperplane arrangements, polytopes, triangulations, symmetric functions. We will adjust this list depending on students' interest and background.
Homework Assignments:
- HW 1 (Due Sep 1, Tuesday, in class)
- HW 2 (Due Sep 15, Tuesday, in class). latex source file
- HW 3 (Due Oct 1, Thursday, in class). latex source file
- HW 4 (Due Oct 20, Tuesday, in class). latex source file
- HW 5 (Due Nov 10, Tuesday, in class). latex source file
- HW 6 (Due Dec 3, Thursday, in class). latex source file
Projects:
Links