2005 Section Meeting

Invited talks

Michael Mays, West Virginia University

Graphical representations of mean values

Abstract: We consider several ways to define mean values, including arithmetic, geometric, and harmonic means and some more obscure means as well, and survey techniques for organizing mean values into families to include as many special cases as possible. We will consider algebraic families, a graphical approach due to Moskovitz, and calculus based techniques.

Brent Morris, NSA (Retired)

Magic Tricks, Card Shuffling, and Dynamic Computer Memories

Abstract: The talk begins with a magic trick and a scientific analysis of card tricks. This leads to a brief study of card shuffling and the introduction of the perfect shuffle and its mathematics. Formulas are developed that describe the movement of any card in the deck after any sequence of perfect shuffles, and this in turn is used to design a dynamic computer memory. Finally, we show the accessing algorithm for the dynamic memory, the movement formula for perfect shuffles, and the card trick all use the same mathematical principle. Dr. Morris has written a book by the same title, published by the Mathematical Association of America.

Tina Straley, Executive Director of the MAA

People, Programs, and Problems

Abstract: The Mathematical Association of America is a member run organization that serves its members through active programs of peer reviewed journals, magazines, book publication, professional development, special interest groups, public policy, public perception and awareness, and special projects targeting specific issues. All areas are thriving and growing. The first half of this talk will highlight new and recent programs and products of the MAA. The second half of the talk will focus on two interesting problems that appeared in the popular media. These problems are both ill-stated, thus the solutions are not pre-determined. Possible solutions require no more than college level mathematics and may be approached only using elementary mathematics or may be examined using more advanced techniques. At the least the problems generate interesting conversations with colleagues and especially students and exemplify how interesting problems can be found in unsuspected places.