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MATH 21-301: Combinatorics

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Announcements

- (08-29-17) Welcome to Combinatorics!
- (08-25-17) Your homework is required to be typed. Here is a tutorial for how to use Overleaf to type your
homework. This document was generously provided by the benevolent Dr. Kristin Heysse. Here is the template
referenced in the tutorial, which can be copy and pasted to start your
document.
- (8-30-17) My office hours will be Tuesdays from 2-4 pm in Wean
7124, or by appointment.
- (09-05-17) Homework 2 is now posted on the Homework page.
- (09-07-17) A useful function for question 4 on Homework 2 is the Möbius function μ(n) which is -1 if n is the product of an odd number of distinct primes, 1 if n is the product of an even number of distinct primes, and 0 if a square divides
n.
- (09-13-17) Homework 3 is now posted.
- (09-15-17) Here is a set of lecture notes that you should use to study for the exam. Not
everything that we covered in class is in here, so please also use your own notes from lecture to study, as well as the
relevant sections of the texts that are listed in the calendar.
- (09-25-17) Here are solutions to the first exam. Your exams will be graded by tomorrow.
- (09-25-17) The lecture notes now have the basic definitions of probability theory that we need
and some examples of the first moment method.
- (09-27-17) Some reading on the probabilistic method that is less dense than Alon and Spencer are these
lecture notes by Matousek and Vondrak.
- The notes now have Markov's and Chebyshev's
inequality with applications (including the theorem on distinct subset
sums that I mentioned in class).
- (10-11-17) Homework 4 and Homework 5 solutions found
here.
- (10-12-17) The lecture notes are now updated with all of the material that will be on the
exam. For the exam, you should know how to use the first moment method (including alterations), Chebyshev's Inequality, the
Chernoff Bound, and the Local Lemma.
- (10-19-17) Here are solutions to the second exam.

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- Course Syllabus
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