18.311 Principles of Applied Mathematics, Spring 2009

Author(s)
Kasimov, Aslan
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Alternative title
Principles of Applied Mathematics
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Abstract
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.
Date issued
2009-06
URI
http://hdl.handle.net/1721.1/97754
Department
Massachusetts Institute of Technology. Department of Mathematics
Other identifiers
18.311-Spring2009
local: 18.311
local: IMSCP-MD5-520b43860f3dc764b0fcf9c8134fd4a3
Keywords
partial differential equation, hyperbolic equations, dimensional analysis, perturbation methods, hyperbolic systems, diffusion and reaction processes, continuum models, equilibrium models
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