Enumerative Combinatorics (Math 184, Winter 2017)

Instructor: Igor Pak
See email instructions below.

Class schedule: MWF 3:00 - 3:50, MS 5118
Discussion: Tu 3:00 - 3:50, MS 5118

Office Hours: M 4-5 pm, MS 6125 or by appointment.

Teaching Assistant: Mohammed Zuhair (zuhair AT math.ucla.edu)
TA Office Hours: 4-5.30 pm, MS 6154

Textbooks: Miklos Bona, Introduction to Enumerative and Analytic Combinatorics, Second Edition (MB), CRC Press, Second Edition
(see the CRC page)

Additional reading will be posted on this page if necessary.

Grading: Homeworks: 20%, Midterm: 20%, Final: 60%.

Difficulty: This is an advanced undergraduate course in Enumerative Combinatorics and it Application. The students are expected to learn the theory and solve problems on the homeworks. The exams and especially the homeworks will be challenging and require problem solving abilities.

Other expectations: I would guess that the average student should spend about 8-10 hours per week outside of class to get a decent grade. Much of this time should be spent on the homeworks, but some should be spent on reading the book and absorbing the class material.


We will cover selected book sections concentrating on Enumerative Combinatorics portions of the book, but less Analytic Combinatorics. Although much of the material will follow the textbook, I will change the style of presentation, as well as the order of sections. Some additional material will be presented in class, so class participation is very important.

Approximate course content is here (by weeks).

Additional Reading

Home Assignments

The home assignments will be given on Wednesdays to be returned also on Wednesdays. Worst HA will be dropped from the final score. The assignments will be posted here (on the course web page) in .pdf format. Unless announced otherwise, you need to return them in writing right before the Wed class. No late assignments will be accepted.

Midterm and Final Exams

Midterm: here.
Brief answers: C12-2C11, 211; (8-choose-4)/(10-choose-5), 2/(10-choose-5); 1/(1·10)+...+1/(5·6), 54/11!; ... ; FTTFF FTTTT.

Final: Fri, March 24, 2017, 8:00 am - 11:00 am

Collaboration Policy

For the homeworks, you can form discussion groups of up to 3 people each. In fact, I would like to encourage you to do that. You can discuss problems but have to write your own separate solutions. You should write the list of people in you group on top of each HW.

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Last updated 1/18/2017