Notes used in class

These are notes that I have used in my classes. I have taken some parts of
papers that are in the literature and rewrite some parts to present in my classes.
Nothing is original. If you find any typos/mistakes please email me at vhm at tulane.edu.

Experimental Mathematics. Undergraduate, Fall 2012

An experimental evaluation of a rational integral
Wallis integral
Sums of powers

Combinatorics Undergraduate, Fall 2019
Fibonacci numbers from tiling dominos
The parity of Fibonacci numbers
Catalan numbers from counting paths
The parity of Catalan numbers

Modular Forms Graduate, Fall 2008
The expansion of the discriminant

Special Functions Graduate, Fall 2019
The definition of Bernoulli numbers
The definition of Bernoulli polynomials
The Riemann zeta function at even integers
The Fourier series of Bernoulli polynomials
A formula of Raabe involving Bernoulli polynomials
L. Glasser's theorem for Beukers' integrals
An expression for Franel numbers in terms of Legendre polynomials
How the Toda system appears from orthogonal polynomials

Victor H. Moll's Home Page