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IntroductionI am an Associate Professor in the Department of Mathematics and Computer Science at Davidson College. I hold both a B.S. degree in applied mathematics and a M.S. degree in computational mathematics from Western Michigan University. I received my Ph.D. in applied mathematics from the University of Colorado at Boulder. During 2001-2003 I held a VIGRE postdoctoral position in the Mathematics Department at the University of Washington. For more information on my activity, see my curriculum vitae (last modified January 2014).
Selected PresentationsLinear Thinking: From Bracketology to Computer Graphics (video), Math Encounters, National Museum of Mathematics, New York, New York, January 2014.
Thinking linearly about data, MAA Invited Address, Joint Math Meetings, San Diego, CA. January 2013.
Animating Class with Computer Graphics, MAA Invited Paper Session on Mathematics, Computer Graphics, and Film Production, Joint Math Meetings, San Diego, CA. January 2013.
March MATHness in the Classroom, MAA Invited Paper Session on Thinking Linearly about Data in Research and Teaching, San Diego, CA. January 2013.
Finite Math Tag: geotagged math maps, Applications for Mathematics Classes from Outside STEM Fields, panelist, Joint Math Meetings, San Diego, CA. January 2013.
Mountains of Fractals - Learn to produce coastlines in 2D and mountains in 2D and 3D by adapting ideas related to the construction of fractals. Introductory mathematical issues in random number generation are discussed. Java applications allow interactive exploration, (published in the Journal of Online Mathematics and its Applications).
Modeling a Changing World (co-authored with N. Dovidio) - Events in our world are often modeled with differential equations. This article develops numerical solvers for ODEs. Interactive applets explore topics including slope fields and numerically solving definite integrals and differential equations, (published in the Loci).
Integer Programming Model for the Sudoku Problem (co-authored with A. Barlett, A. Langville and T. Rankin) - Let binary integer linear programming solve Sudoku puzzles and variations on the game for you. Also, learn to prove theorems regarding puzzle creation. Java applets allow for interactive exploration, and exercises and challenge problems are included, (published in the Journal of Online Mathematics and its Applications).
Selected Teaching Resources
Mathematical Art: the art of raytracing - a web page designed to introduce Calculus students to raytracing
Math Murder Mystery - Resources for hosting a Math Murder Mystery prepared by Davidson College math majors from the class of 2006.
Rising to the occasion of modeling card shuffling - contains an interactive applet for this famous model
Online Academic Review Games
Awards and Recognitions
2007 Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member -- awarded by the Mathematical Association of America. To read more about the award, click here.
Alfred P. Sloan Research Fellowship -- awarded by the Alfred P. Sloan Foundation. To read more about the award, click here. To read an article about my receiving the award, click here.