Using Simulations

Faculty Forum
October 2, 2007, 12pm to 1pm

LIB G508

Simulations are important tools for getting quality estimates of exact solutions of problems that are either difficult or impossible to solve analytically. Moreover, they can provide guidance to put one in the right direction and keep (both students and scholars) from making mistakes in problem solving and research. Learning how to run a simulation on a computer is an accessible task for undergraduates that can and should be taught early as an integral part of undergraduate mathematics programs. In this session, we will demonstrate the simplicity of setting up and running simulations for a series of mathematical problems that will begin to demonstrate their usefulness. The examples that we present each have an exact solution available to compare the accuracy of the corresponding simulation. All of the simulations that we develop here are done using MATLAB, and we include many relevant code segments.  These code segments are easily adaptable to create other simulations. MATLAB is the most often used software in science and industry and is increasingly being used in university mathematics and science programs worldwide.

Presented by

Dr. Alexander Stanoyevitch
Professor, Mathematics

Notes:
Dr. Stanoyevitch reported that the simulation software, MATLAB, is loaded on all instructor and lab machines* for the Math Department and that level 200 students can write computer code to run mathematical simulations. As is always the case, he warned, "It is important to gather accurate data to begin with."

A Chemistry professor who attended the presentation was excited to learn that MATLAB may be a useful tool in identifying cancer disease markers. She wondered if Dr. Stanoyevitch would confer with her later about collaboration opportunities.

*MATLAB is loaded in WH C155, WH F154, WH F144 and SCC 800