- The software supplied with the course uses Java applets available on the Internet and Java applications that can be run on one's won computer. Your browser or computer must be set up to run such programs.
A Faculty Project Course - Best Professors Teaching the World
Every year, people across the United States predict how the field of 65 teams will play in the Division I NCAA Men’s Basketball Tournament by filling out a tournament bracket for the postseason play. Not sure who to pick? Let math help you out!
In this course, you will learn three popular rating methods two of which are also used by the Bowl Championship Series, the organization that determines which college football teams are invited to which bowl games. The first method is simple winning percentage. The other two methods are the Colley Method and the Massey Method, each of which computes a ranking by solving a system of linear equations. We also learn how to adapt the methods to take late season momentum into account. This allows you to create your very own mathematically-produced brackets for March Madness by writing your own code or using the software provided with this course.
From this course, you will learn math driven methods that have led Dr. Chartier and his students to place in the top 97% of 4.6 million brackets submitted to ESPN! See more:
- This course starts with fractions and moves on into linear systems (linear algebra). If you are new to linear algebra, you may or may not find the "more math" lectures helpful on the Colley and Massey methods.
- The activities are designed to deepen everyone's knowledge. The software that is supplied does not rely on any knowledge of linear algebra. Put in your numbers for modeling momentum and you are ready to create your sports ranking!
- Course Overview01:55
- Who's on first and what's on second - ranking an entire dataset07:51
- Activity: Who's on first and what's on second?02:55
- Putting on weight - modeling momentum07:39
- Activity: Putting on weight02:43
- A bit of data to mine10:53
- Activity: A bit of data to mine05:01
- A big bowl of math – Colley method15:34
- Activity: A big bowl of math06:52
- Math behind the Colley method10:24
- Activity: Math behind the Colley method03:51
- Another bowl of math – Massey method08:49
- Activity: Another bowl of math04:36
- Math behind the Massey method10:24
- Activity: Math behind the Massey method03:41
- Personal math brackets13:57
- Activity: Personal math brackets02:03
- Thanks for joining the course!00:58
Tim Chartier is an Associate Professor of Mathematics at Davidson College. He is a recipient of a national teaching award from the Mathematical Association of America. Published by Princeton University Press, Tim coauthored Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms with Anne Greenbaum. As a researcher, Tim has worked with both Lawrence Livermore and Los Alamos National Laboratories on the development and analysis of computational methods targeted to increase efficiency and robustness of numerical simulation on the lab’s supercomputers, which are among the fastest in the world. Tim’s research with and beyond the labs was recognized with an Alfred P. Sloan Research Fellowship.
Tim serves on the Editorial Board for Math Horizons, a mathematics magazine of the Mathematical Association of America. He also on the Advisory Board of YourMusicOn (YMO), a mobile music startup company and the Advisory Council for the Museum of Mathematics, which will be the first museum of mathematics in the United States and opens in December 2012. Tim has been a resource for a variety of media inquiries which includes fielding mathematical questions for the Sports Science program on ESPN. He also writes for the Science blog of the Huffington Post.
As an artist, Tim has trained at Le Centre du Silence mime school and Dell’Arte School of International Physical Theater. He also studied in master classes with Marcel Marceau. Tim has taught and performed mime throughout the United States and in national and international settings.
In his time apart from academia, Tim enjoys the performing arts, mountain biking, nature walks and hikes, and spending time with his family.
Learn more about Prof. Chartier's teaching, research and presentations with mime and math on his blog.