Mathematics and Statistics
The scholarly activity of the mathematics and statistics faculty was showcased at numerous conferences over the summer.
Professor Christopher French cowrote an article, "Hankel Transforms of Linear Combinations of Catalan Numbers" with math majors Michael Dougherty, Benjamin Saderholm, and Wenyang Qian, all math majors in the class of 2012. The article appeared on April 20 in the Journal of Integer Sequences, Vol. 14 (2011), Article 11.5.1. In this paper, the authors consider the result of applying a certain operation called the Hankel Transform to certain sequences of numbers obtained in a natural way from the famous Catalan number sequence.
The Grinnell College Putnam team placed 46th out of 546 teams from across the U.S. and Canada. The annual exam took place in December with 16 Grinnell students among the 4296 students who took the exam. Grinnell College had four students score at least a 20:
Professors Shuman, Blanchard, Chamberland, T. Moore, and E. Moore take advantage of spring recess to attend workshops, do research, and give lectures.
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Marc Chamberland and Patrick Lopatto (a Grinnell High School student) published the paper "Formulas for Odd Zeta Values and Powers of Pi" which appeared in the electronic Journal of Integer Sequences (Vol. 14, Issue 2, article 11.2.5). Values for the Riemann zeta function at odd values greater than one do not seem to have a closed form. A decade ago, the Canadian mathematician Simon Plouffe experimentally found some formulas to represent these numbers using quickly converging infinite series.
February 19, 2011, Grinnell will send a team of competitors to Iowa State University (Ames) for the Iowa Collegiate Mathematics Competition. Do you enjoy working on math problems with other people? There are no specific math prerequisites. Our team will be organized by David Romano; contact him by February 8 to participate. Contact him for more information about the contest or visit http://www.central.edu/maa/contest/
Tom Moore presented the CAUSE Webinar (internet-based seminar) on "Using baboon 'mothering' behavior to teach Permutation tests," on September 14, 2010. CAUSE is the Consortium for the Advancement of Undergraduate Statistics Education. Archived webinars can be found at www.causeweb.org.