1) First place in the Academic Excellence Day (AED) poster competition at Cal U: Kasey Zemba, Courtney Killian, Marielle Silvio, and Tricia Stoner participated in the 2013 AED poster competition at California University of Pennsylvania. They received first place in the category of “Independent Research”. More than 140 posters were presented during the event.
2) Mathematical Association of America (MAA) research oriented talks April 5, 2013: Kasey Zemba, Courtney Killian, Marielle Silvio, and Tricia Stoner gave two talks at the MAA meeting of the Allegheny Mountain Section on April 5, 2013. These talks were based on solutions to open problems that were submitted to the journal “The Fibonacci Quarterly” in January of 2013. Their solutions are currently under review.
Kasey Zemba and Marielle Silvio’s Talk
Title: Raise the Roof for Fibonacci.
Abstract: In this talk we discuss the solution to an open problem submitted to the journal “The Fibonacci Quarterly”. We use the Fibonacci sequence along with the knowledge of summation, ceiling, and floor functions in order to give a positive answer to the open problem. Although at a glimpse this conjecture might appear false, through modifications, simplification, algorithms and well-known theorems, we can prove its veracity. Being that the ceiling function is seen frequently throughout our proof, we plan to “Raise the Roof for Fibonacci.”
Courtney Killian and Tricia Stoner’s Talk
Title: Fibonacci’s Perfect Power.
Abstract: In this talk we discuss the solution to an open problem submitted to the journal “The Fibonacci Quarterly”. The 2012 August issue of this journal proposed that a rational function on quadratic polynomials is always a fifth perfect power. We prove that this is always the case. Moreover, this rational function is always the fifth perfect power of a Fibonacci number.