14th Emmy Noether High School Mathematics Day Texas Tech University, Department of Mathematics and Statistics May 18th, 2016

 Workshops for Students  The mathematics of magic card tricks Dr. Giorgio Bornia A magician has a very noble task: to be a generator of Wonder. It has been said that "a magician never reveals his secrets". Sometimes the secret is just a fast hand, or the sleeve of a shirt. Other times, it's all about mathematics. We will talk about some card tricks and (possibly) discover the undiscoverable. After that, for the sake of Wonder, you are encouraged to keep the undiscoverable for yourself. Strangers sharing secrets Dr. Lars Christensen How is it possible that we can submit personal and sensitive data over the Internet to, say, iTunes without it ending up in the wrong hands? The answer is cryptography, and cryptography is based on mathematics. In this case, a simple piece of math from more than 200 years ago combined with the fact that it is much easier to multiply than to factor. I will explain how it works and let you try for yourself... it can almost be done by hand, but bring a calculator. Classifying wallpaper patterns Dr. Lance Drager We will present the idea of Euclidean motions in the plane and groups of motions. We will list the 17 classes of wallpaper patterns, and practice classifying some example of wallpaper patterns, including some Escher drawings. Next Up Dr. Raegan Higgins This will be a hands-on introduction to difference equations. We will introduce a variety of basic sequences and see how to establish recursive relationships. The Mathematics of Juggling Dr. Ram Iyer, Dr. Arne Ledet In juggling, the balls follow distinctive patterns. These patterns can be described mathematically in several ways, for instance as strings of numbers or by means of directed graphs. We will explain these mathematical descriptions, and illustrate how they relate to the actual juggling. Can Math Help Prevent the Spread of Infectious Diseases? Dr. Angela Peace When the next epidemic breaks out, how do we prevent it from spreading around the world? In this workshop we will learn how mathematics can be used to study the spread of infectious diseases. We will use mathematical models to find out how rapidly they can be expected to spread, how many people will be affected, and also what proportion of a population should be vaccinated, if a vaccine exists. How many kinds of infinity are there? Dr. Liana Sega Set theory, founded by Georg Cantor in the second half of the 19th century, profoundly transformed modern mathematics. The basic concept of the theory is the notion of size or cardinality of a set. Counting elements of a finite set is straightforward, but can we count the elements of an infinite set? Does it make sense to say than an infinite set is bigger than another infinite set? How many kinds of infinity are there? We will discuss the often surprising answers to these questions. Quilts and Geometry Carol Williams and Dr. Brock Williams Math is everywhere, even in the fiber arts. We will explore how to use geometry and geometric constructions to design quilts.

 Workshops for Teachers  Converting fractions to decimals and decimals to fractions, and the existence of irrational numbers Dr. Gary Harris In this workshop we will investigate the roles of the Division Algorithm and the Geometric Series in the conversions indicated in the title. Then we will discuss the existence of irrational numbers from the decimal representation point of view. Using Zombies, Probability, and High Performance Computing to Motivate Students Dr. Brock Williams This session will be a hands-on introduction to LAZARUS, the Lab for the Analysis of Zombie Activity and Research into Undead Simulations. We'll discuss the math we use to model disease outbreaks - from the "zombie virus" to ebola. We'll visit the lab's new GPU cluster so you can see how a supercomputer is constructed. Finally, we'll describe the outreach mission of the lab and the web resources (at lazarus.ttu.edu) you can use to get your own students excited about math and computing.

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