Math 475 .
TR 5:05−6:20, Ayres 112
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, 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, Fortran, C/C++).