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Dr. Sergei Chmutov Ohio State University Monday April 19, 2010 7:00 p.m. in ILB 410 Pell's Equation The simplest Pell's equation has the form x^2-2y^2=1. The problem is to find its integer solutions. It is easy to check that the pairs (3,2), (17,12), (99,70) and (577,408) are the solutions. In fact it has infinitely many solutions. We will explain a method how to find all the solutions and show its relations to continued fractions and to the Chebyshev polynomials. Dr. David Benko University of South Alabama Monday April 26, 2010 7:00 p.m. in ILB 410 The Grandest of all Grand Slams Have you ever wondered which one of the four tennis grand slam tournaments is the best? Wimbledon, Roland Garros, US Open or Australian Open? They are played on different surfaces: grass, clay, acrylic hard court, synthetic hard court, and under different weather conditions: sun, wind, rain, snow. How can we pick a winner? As always, mathematics will help us to find the answer.
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