Saturday, November 3, 2007
Southeast Missouri State University Cape Girardeau, Missouri Thank you for coming! We hope that you have a splendid day, and that you leave with some valuable information and joyful memories. If you have any questions, please ask. We want to help! Before you leave this afternoon, please complete the evaluation form. This will help us improve our conference in the coming years. Again, thank you for coming. Enjoy your conference!! Sincerely, Southeast Missouri State University Conference Organizers - W.Y. Chan (wchan@semo.edu), Tim Ray (timray@image.semo.edu) and Haohao Wang (hwang@semo.edu) P.S. Be sure to visit our web page, www5.semo.edu/math often for news on dates, events and speakers for next year’s conference.
Schedule
All Sessions are in room 200 & 223 Johnson Hall Lunch & snacks are downstairs in 101 & 103 (Restrooms are also downstairs)
8:30 - 9:00 9:00 - 9:05 9:05 - 9:55
Registration Welcome and Opening Remarks Dr. Victor Gummersheimer, Chair, Department of Mathematics Dr. Chris McGowan, Dean, College of Science and Mathematics Invited Address Dr. Renee Fister - Murray State University
Curing Cancer with Mathematics
Can we find a cure for cancer with the use of mathematical modeling? With the use of optimal control theory, we have made some progress in qualitatively finding better treatment strategies using one's immune system and chemotherapy based treatments. Your participation will be valuable in calculating necessary components of the systems. Come join the fun and help in finding a cure. Notes:
9:55-10:05
Break
10:05 - 11:20
Student Talks Student Talks - Room 200
Student Talks – Room 223
10:05 - 10:20 Jen Miesner 10:05 - 10:20 Brian Baker Have you seen a Tessellation Today? I Game Theory In The Study Of Human will talk about what a tessellation is and Behavior. The disciplines most involved in game theory are mathematics, economics what it is not. I will then show the geometry behind tessellations, and then I and the other social and behavioral sciences. will show many examples. I am going to Simple examples of game theory will be given along with a brief history of the use MC Esher's art about how he used theory. The presentation is meant to provide tessellations and show tessellations a general overview of zero and nonzero sum around campus. games and how these games are utilized to
better understand various competitive and cooperative situations in academic and social disciplines. 10:25 - 10:40 Darrek Burris MORNING 10:25 - 10:40 Geetha Rajamanickam Fermat's Last Theorem. The seventeenthTaxicab Geometry. In this presentation a century French mathematician Pierre de natural analogue to distance developed in Fermat has left behind a statement which has taxicab geometry is compared to the concept become known as Fermat's Last Theorem, of distance in Euclidean geometry. Euclidean which states that for the equation xn + yn = zn Geometry dates back 2000 years ago has , if n is a positive integer greater than 2, then influenced how geometry is taught today. A there exist no non-zero integer solutions for bit of history of these two geometries and x, y, and z. This little statement, with no assumptions made in taxicab geometry are proof, would puzzle mathematicians for over highlighted. The notion of distance related to 350 years. basic structures is analyzed to illustrate the fundamental differences between the two geometries. 10:45 - 11:00 Rebecca Everding 10:45 - 11:00 Chris Palisch Probabilities And Strategies Of Casino Car Math. The basic points of my Blackjack. Many real world applications can presentation will be demonstrating examples come from the use of statistics and of how to calculate a cars horsepower and probability. This presentation will look at torque, with relation to the car's mass and some probabilities involved in casino engine speed (rpm). Also I will cover basic blackjack including a discussion of strategies engine performance equations to show where developed from these probabilities. Can a and how to tune a motor to max efficiency player beat the house? Only math can tell us. all by using some simple calculations. Break Student Talks - Room 200 Student Talks - Room 223
11:00-11:10 11:10 - 12:20
11:10-11:25 Weston Page
11:10-11:25 Luke Lancaster Cryptographic Cartography. This How Math Relates To And Is Important In presentation will cover the basic use of The World Of Car Audio. cryptography as applied in reading maps in I would be discussing various mathematical the sport of paintball. The methods of formulas and equations used to find electric cryptography used in coding and decoding current, current resistance, and sound maps will focus primarily on how measured in decibels. coordinates are coded and given in their (x,y) form. These methods vary from using simple functions to using derivatives in order to conceal the intended coordinate as it is broadcast over a two-way radio channel.
11:30-11:45 Paul Sappington
12:20 - 1:05 1:05 – 1:50
11:30-11:45 Austin D. Thrower The Slide Rule. The slide rule is perhaps the Conservation of Momentum. Using the most remarkable manual calculating device equations for elastic potential energy, kinetic to appear before electronic calculators. This energy, and gravitational potential energy, I presentation will investigate the development will explain how roller coasters operate of the slide rule and the underlying (kinetic energy and gravitational potential principles that made it a useful and accurate energy), and also how springs work in tool for types of calculations. relation to elastic potential energy. 11:50-12:05 Aaron Sanders 11:50-12:05 Carrie Montgomery The Brachistochrone Problem. Using partial Geometry is Everywhere. I will show how differential equations set down by Euler and basic geometry is used while building a Lagrange, I will find the curve of fastest bluebird house. This is a wonderful way to descent that a wire must be bent into so that show students how math relates to their a bead can travel upon it. The only force lives. acting on the bead would be gravity. I would especially like to highlight Newton's solution to Bernoulli's challenge. 12:05-12:20 Heather Graham 12:05-12:20 Greg Branham Using Fresnel’s Equation Determine The Fibonacci and Beyond. We explore some Best Lens Material For An Optical Patient. numerical patterns derived from, and Many individuals have various eye patterns that contain, the Fibonacci conditions that require them to use reflective sequence. Topics included are Pascal’s coatings to filter out Ultra Violet radiation Triangle, Pythagorean Triangles, and the and to reduce glare. In order to assign them Golden Ratio. We will explore the with the appropriate lens, the doctor takes into account many factors, including their applications of patterns in and out of the age, lifestyle, level of protection needed, and classroom and those that can be seen in everyday life. compares these mathematically using the Fresnel’s equation. Lunch
Panel Discussion “Graduate School & Careers in Math” Panelists: Notes:
1:50 - 2:00 2:00 - 3:05
Break Student Talks Student Talks - Room 200 Student Talks – Room 223
1:50 -2:05 Jean Domagni Affine and projective conic curves. This The Fibonacci Series. This presentation presentation will give a short overview of an examines all aspects of Fibonacci series undergraduate research paper about the topic focusing particularly on its applications. It above. It will contain definitions of affine gives a brief history of Fibonacci, his series and projective curves, some examples, their and a detail look into the diverse and connections, and will end with Bezout's different applications of those series. The
1:50 -2:05 Lars Müller
Theorem and it's application demonstrated in significance and importance of those series 3 examples. are also analyzed. 2:10 -2:25 Adrian Mitrea 2:10 -2:25 John Casebolt On the Area of Pedal and Antipedal Fun in the Sun. This presentation will Triangles. Recall that, given a triangle ABC, discuss the azimuth and elevation of the sun a triangle A'B'C' is called a pedal triangle throughout the year. We will look at samples (with respect to triangle ABC) if A',B',C' are of this topic in ancient times and the use of the projections of a point P onto the sides of this information to design a home for passive triangle ABC. The point P will be called the solar heating and cooling today. Also expect pedal point of triangle A'B'C'. In this talk, I to have a little fun with solar alignment as will present a new proof of the formula for well.
the area of a pedal triangle of a point, relative to a fixed triangle. The main idea of the proof is very resourceful and can be applied to other problems in geometry. 2:30-2:45 Michelle. Boyd 2:30-2:45 Sunil Lamsal
The Geometry Behind Dance. Many people look at dance and would never imagine how much geometry is really in each move, turn and kick. My presentation will provide examples of how several familiar dance moves can be interpreted in geometrical terms. Testing Procedure for a Repairable System. In an accelerated life test we test products at higher than usual stress levels so that information on the life distribution of the product can be quickly and economically obtained. In a step-stress test an initial low stress is applied to all test units. The stress is increased in steps. For a repairable system, once an experiment’s unit fails, it can be repaired immediately and put back to the test and the time for repair is ignored. We assume that the failures of the units follow a Homogeneous Poisson Process (HPP). The intensity parameter of the Poisson process is assumed to be linearly related to stress levels. A testing procedure will be developed and it's Type I error rates will be found empirically. 2:50-3:05 Brandi Gervais Wind Factor. I will present equations on how wind can affect the rate and time of moving objects. In my particular presentation, I will use moving boats as my example.
2:50-3:05 Dayana Dominic Quantitative Traits in Genetics. The combination of molecular marker and trait data to explore the individual genes concerned with quantitative traits, QTL analysis, has become an important tool to allow biologists to dissect the genetics of complex characters. The basic theory of QTL mapping is to score a population for a trait according to the marker genotype, and then to use statistics to identify differences associated with the markers and the trait of interest. The goal of this presentation is to introduce the various statistical techniques that have been employed over the past few years to locate genes affecting quantitative traits for the eventual characterization and
manipulation of these genes in order to improve agronomically important traits. Student Talks - Room 200
Student Talks – Room 223
3:05 - 3:10 3:10 - 3:45
Break Concluding Address Dr. Timothy Ray – Southeast Missouri State University & The National Security Agency Sabbaticals, Mathematics and Life in Baltimore. The National Security Agency employs more mathematicians than anyone else in the nation, and possibly more than anyone else in the world. I will discuss what mathematics lies beneath much of the work, and the opportunities for students and graduates. The talk will conclude with a decoding contest for everyone. Notes:
Thank you again for coming. We hope that you found this to be a splendid experience. Please remember to complete your survey before you leave.
This conference was funded in part through National Science Foundation grant DMS-0241090.