INDUSTRIAL MATHEMATICS

Industrial Mathematics is a fast growing field within the mathematical sciences, concerned with problems arising in industrial research and development, finance, communications, etc. It uses tools from various fields of mathematics (such as ordinary and partial differential equations, numerical analysis, control theory, dynamical systems, etc), as well as of computing. The goal is to gain better understanding of industrial models and processes through mathematical ideas and computations.

The course will follow a case-study approach, illustrating the various aspects of Computational Science. In each study, starting from a real-world industrial problem, we will model it, develop the mathematical and numerical concepts and tools needed to analyse it, and deduce and compute some useful answers (analysis and computation go hand-in-hand). Problems to be studied include: Crystal Precipitation, Air Pollution, Catalytic Converter, Melting and Freezing. They involve fundamental phenomena (kinetics, advection, diffusion, reactions), modeled as systems of ordinary and partial differential equations.

The only prerequisites are Calculus (M141,142,241), ODEs (M231), and familiarity with an operating system and a programming language.
Juniors, seniors, and graduate students welcome.

The course qualifies for UT's Interdisciplinary Graduate Minor in Computational Science (IGMCS) program.

Course web page: www.math.utk.edu/~vasili/475/
For more information contact: Dr. Vasilios Alexiades, Ayres Hall 213, 974-4922, alexiades@utk.edu