18.311 Principles of Applied Mathematics, Spring 2009
Principles of Applied Mathematics
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This course is about mathematical analysis of continuum models of various natural phenomena. Such models are generally described by partial differential equations (PDE) and for this reason much of the course is devoted to the analysis of PDE. Examples of applications come from physics, chemistry, biology, complex systems: traffic flows, shock waves, hydraulic jumps, bio-fluid flows, chemical reactions, diffusion, heat transfer, population dynamics, and pattern formation.
partial differential equation, hyperbolic equations, dimensional analysis, perturbation methods, hyperbolic systems, diffusion and reaction processes, continuum models, equilibrium models