Sydney University Mathematics Society Semester 1, Week 2 talk. Title: generatingfunctionology Speaker: Edric Wang Abstract: "A generating function is a clothesline on which we hang up a sequence of numbers for display." --- Herbert Wilf, generatingfunctionology (1990) In this talk we will introduce the ordinary power series generating function and consider its applications to binomial identities, recursion relations and combinatorial enumeration. Along the way we will encounter famous integer sequences such as the Fibonacci and Catalan Numbers. If time permits, we will discuss other kinds of generating functions. Following the talk, there will be pizza on offer. Hope to see you there!