MATH 4060U – Industrial Mathematics

A case studies approach is taken to the mathematical modelling of industrial problems and other physical problems that are relevant for industrial applications. Potential topics include: lubrication theory and slow viscous flow phenomena, elasticity, plasticity, crack propagation, chemical reactors and chemical kinetics, heat transfer, materials science modelling, stability theory and vibrations of machinery, semiconductor device modelling, electromagnetic and inverse problems, optimal design. For each topic covered, the modelling process of a specific example is followed from problem formulation to solution. Discrete, continuous, deterministic and stochastic models are used, as is a variety of solution techniques, both analytical and numerical. Both theoretical and practical issues will be considered.
Credit hours: 3
Lecture hours: 3
Prerequisite(s): MATH 3050U