The last three MAT480 math seminar presentations are finals week
Thursday December 13 from 11am to 2pm, in Old Main 223
Speakers: Tyler Molina, Mary Sue Tichy, Samantha Youmans
Tyler Molina volunteered to go first. Title: Use of Sabermetrics in Baseball
Abstract: Sabermetrics is the analysis of baseball through objective evidence, especially in-game statistics. The term comes from SABR, which stands for the Society for American Baseball Research. This term was coined by Bill James who is often considered the public face of Sabermetrics. Bill James started his baseball writings while working night shifts as a security guard at the Stokley-Van Kamp’s pork and beans cannery. Ever since Paul DePodesta, Billy Beane and the Oakland A’s implemented Sabermetrics for their historic 2002 season, it has been used by every single MLB to some extent. There is some good behind using Sabermetrics as it opened up doors that people did not know were there, but the A’s showed that you need more than complicated calculations to win a championship.
Samantha Youmans, Title: The Black-Scholes Option Pricing Model
Abstract: The Black-Scholes Option Pricing Model is a mathematical model of a financial market containing certain derivative investments. In1973, Fischer Black and Myron Scholes published their formulation of a partial differential equation called the Black-Scholes equation, which under specific conditions is used to determine the price of an option over time. The derivation arises from the concept of delta-hedging, a specific method of buying and selling the underlying asset in order to consequently “eliminate risk”. The Black-Scholes formula calculates the price of European put and call options at a specific time. The formula is derived by solving the Black-Scholes equation under certain boundary conditions. This talk will define basic option terminology, provide a brief introduction to Brownian motion and stochastic calculus as they apply to the Black-Scholes model, and present the derivations of the Black-Scholes equation and formula.
Mary Sue Tichy, Title: Different Types of Hypothesis Tests
Abstract: hypothesis tests of a population mean μ , hypothesis tests of a population proportion p, hypothesis tests of the difference between 2 population means μ1 and μ2 , hypothesis tests of the difference between 2 population proportions P1 and P2 , hypothesis tests of the Equality of Three or more means where there is only one potential source of variation, hypothesis tests of the Equality of two or more means where there are two potential sources of variation, hypothesis tests comparing 2 population variances [sigma1-squared] and [sigma2-squared] , Hypothesis Tests of Simple Regression, Hypothesis Tests of Multiple Regression.