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  • 1st CMS-Sept 18 2009
  • 2nd CMS-Oct 30 2009
  • 3rd CMS-Feb 19 2010
  • 4th CMS-April 23 2010
  • 5th CMS-Sept 17 2010
  • 6th CMS-Nov 5 2010
  • 7th CMS-Feb 11 2011
  • 8th CMS-April 15 2011
  • 9th CMS-Sept. 16 2011
  • 10th CMS-Oct. 28 2011
  • 11th CMS - Feb. 10 2012
  • 12th CMS - Apr. 13 2012
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Carolina Mathematics Seminar (CMS)

The Carolina Mathematics Seminar (CMS) is a joined effort of USC Lancaster, USC Salkehatchie, Benedict College and The Military College of South Carolina. It was created to promote collaboration and research in Mathematics.

We are happy to report the great success of our twelve meeting at The Citadel October 26th, 2013.

Upcoming Meeting

Spring Meeting at USC Salkehatchie
March 22, 2012

1:00-1:10 Robbie Bacon (USC Salkachatchie student)
Title: Rock Paper Scissors Lizard Spock.
Abstract: The classical Rock-Paper-Scissors game is revisited. We use payoff matrix and expected value to analyze the winning strategy of this game. We also examine several of its variations, like Rock-Paper-Scissors-Well and Rock-Paper-Scissors-Lizard-Spock. Other potential additional weapons are also discussed.


1:15-1:45 Fidele Ngwane (USC Salkachatchie)
Title: Trigonometrically-fitted Second Derivative Method for Oscillatory Problems.
Abstract: A continuous Second Derivative Method (CSDM) whose coefficients depend on the frequency and stepsize is constructed using Trigonometric basis functions. Some discrete Second Derivative Methods are recovered from the CSDM as by-products and applied as a block Second Derivative Algorithm (BSDA) to solve oscillatory initial value problems (IVPs). We discuss the stability properties of the BSDA and present numerical experiments to demonstrate the efficiency of the method..


1:50-2:15 Leandro Junes (California University of Pennsylvania)
Title: Polygons in the Hosoya's Triangle.
Abstract: In this talk we discuss several GCD properties that generalize from
Pascal triangle to Hosoyas triangle. In particular, we prove the GCD
property for the Star of David and other polygons. We also give a
criterion to determine whether a sequence of points in a polygon or in
a rhombus have GCD equal to one..


2:20-2:50 Jeffrey Beyerl (Furman University)
Title: Optimizing Balance in Video Games.
Abstract: Video games are a pervasive part of society and a growing multi-billion dollar industry. A current trend in modern video games is to give players multiple asymmetrical styles of play to choose from: that is, a customization of their gameplay that is distinctly different from another player’s gameplay. To encourage build diversity and game longevity these choices should not be easy to make. In this talk I will give some background motivation and a method for balancing these choices in action role-playing games.


2:55-3:25 Wei-Kai Lai (USC Salkachatchie)
Title: A Rearrangement Inequality on Ordered Tensor Products
Abstract: In 1934, Hardy, Littlewood and Polya introduced a rearrangement inequality: the sum of the products of two real number sequences will reach its maximum if these two sequences are both in increasing (or decreasing) order, and will reach its minimum if these two sequences are in opposite order. With techniques introduced by Bu, Buskes, and Lai, we successfully create a similar version of the rearrangement inequality on ordered tensor products.