Math 320 (Fall 2017): Combinatorics
Instructor: Mahir Bilen Can
Office: Gibson Hall 318 A
Office Hours: Mondays 3 to 4pm
What is combinatorics about:
Combinatorics is the theory of enumerating, manipulating, breaking apart and
then reorganizing of "discrete" structures. In this sense, it is a branch of algebra
but it applies to many fields of mathematics especially to geometry and representation
What is this course about:
- Permutations, partitions, and generating series,
- Symmetric functions and tableaux,
- Polya's cycle enumeration theorem and its applications.
- Generatingfunctionology by Herbert Wilf,
- Counting with symmetric functions by Anthony Mendes and Jeff Remmel.
There will be two in-class midterms and two take-home exams.
The dates of these exams are as follows
I will not collect homework, however, I will suggest problems at the end of each week
and you will be responsible for presenting your solutions sometime during following week.
- 1st in-class exam: September 29 (Friday)
- 2nd in-class exam: October 30 (Monday)
- 1st take-home exam: November 20 (Monday) - November 21 (Tuesday)
- 2nd take-home exam: December 8 (Friday) - December 11 (Monday)