Your project consists of a short presentation and a written paper on a topic of your choice.
The presentation will be about 10 minutes long, unless you're a graduate student in which
case it'll be longer.  The writeup should be (more or less) a transcript of your presentation,
plus anything else that you feel like putting in.  It's due the day of your presentation.

Tips for your presentation:

Here is a schedule.
 

Tuesday November 5:        Eric Morris and Taehoon Park, Stirling's formula
                                           Adam King, The average number of divisors of {1,...,n}
                                           David Stinson, The distribution of the first digit of 2^n

Thursday November 7:        Qixing Zheng and Stacey Suber, Generalizations of Ramsey's theorem, and an
                                                        application to geometry
                                             Brian Gauthier and Mirza Dobric, Sums of powers and Bernoulli numbers

Tuesday November 12:        Louis Cheung and Louis Manglass, The sum of the reciprocals of the primes diverges
                                             Casey Bowman and Steven Jefferson, The partition numbers

Thursday November 14:        Emily Frix and Boris Alexeev, Some applications of linear algebra to combinatorics
                                              Helen Howell, The birthday problem
                                              Sal Lamarca, Probabilities arising in blackjack

Tuesday November 19:        Patty Short, Justin Manning, Josh Weddle, and Charles Vogel:  Sperner's lemma,
                                                        the Brouwer fixed point theorem, and rental harmony

Thursday November 21:        Josh Fallon and Mike Roca, Catalan numbers
                                               Doris Daniel, Fibonacci numbers in nature
                                              Jason Quinley, Pick's theorem

Tuesday November 26:        Kenny Little, Sperner's theorem
                                              Greg Schmidt, Rook polynomials
                                              Charlie Lee, Tiling problems on checkerboards
                                              Philippa Rhodes, The game of Nim