16th Emmy Noether High School Mathematics Day
Texas Tech University, Department of Mathematics and Statistics

May 16th, 2018





  
Workshops for Students

 




Music is math. Sounds good?
Dr. Giorgio Bornia
Music is the place where sounds meet feelings. We play music because we feel. We listen to music because we feel. And guess what? Mathematics - apparently such a cold discipline - takes part in this emotional process. We will explore the world of music through mathematics. In this journey, a good old companion will lead us: the guitar.

Parallel lines never meet, or do they?
Dr. Lars Christensen
We learn in geometry class that parallel lines never meet, but every time we let our eyes follow a straight stretch of highway all the way to the horizon, we doubt it. Of course mathematics has a way to make sense of what we see. In projective geometry, two parallel lines do meet in a point infinitely far away! And, actually, a line and a parabola always have two intersection points, provided that one looks carefully and counts properly.

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.

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.

Carthage, Oxhide, and Mathematics
Dr. Hung Tran
We talk about the legendary foundation of Carthage by Queen Dido, based on a piece of oxhide and some clever mathematics. It is an example of a broader theme of optimization problems which have several practical applications. There will be soap bubbles, architecture, and fun.

Data Science: from Earth to the Universe
Dr. Dimitri Volchenkov
In this workshop, we are going to present some research projects performed by graduate students from different departments. The topics will include different aspects and methods of Data Analysis. Applications will include classifications of international cuisines, computer games, spectra of stars, classical literature texts, etc. The graduate students will give brief presentations of their results

How fast can you react?
Dr. Min Wang
During the workshop, we will find several student volunteers to collect their reaction time data using online tools and then present the basic idea of statistics to how to display and analyze the data and make comparisons among different data sets. This activity will help students gain some insights about applications of statistics in daily life.

Project Lazarus
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 zombie outbreaks. We'll visit the lab's GPU cluster so you can see how a supercomputer is constructed. Finally, we'll describe the outreach mission of the lab and do some hands-on experimentation with our web resources.




  
Workshops for Teachers

 



An Invitation to Projective Geometry
Dr. David Weinberg
By introducing a new system of coordinates, a new world of geometry is revealed. The projective line, the projective plane, and points at infinity will be explained. We will see why there are no parallel lines in projective geometry (they intersect at infinity). Time permitting, we will see the great unifying power of projective geometry by studying conic sections in the projective world.

Is there a perfect exam question?
Dr. Jerry Dwyer
This talk explores issues of assessment in mathematics. Is it possible to design an exam question that tests deep conceptual knowledge of a topic? Are exams the best way of testing students' content knowledge? Is there any merit in multiple choice tests? Should teachers be graded on their students' test scores?




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