Fall 2024
Math 518
TR 5:40−6:55, Ayres 121
MATHEMATICS In INDUSTRY
web.math.utk.edu/~vasili/518/
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 mathematical and numerical concepts and
tools needed to analyse it, and deduce and compute useful answers
(analysis and computation go hand-in-hand).
Problems to be studied include: Crystal Precipitation,
Air Pollution, Melting and Freezing, Electron Beam Lithography, etc.
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 a programming language (Matlab, Python, Julia, Fortran, C/C++).