18.311 Principles of Applied Mathematics, Spring 2009
Name
18-311-spring-2009/contents/index.htm
Size
33.56 KB
Format
HTML
Checksum (MD5)
95be677867639ba3b3ff9e884477c8f5
Author(s)
Kasimov, Aslan
Alternative Title
Principles of Applied Mathematics
Date Issued
June 2009
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.
Subjects
partial differential equation
hyperbolic equations
dimensional analysis
perturbation methods
hyperbolic systems
diffusion and reaction processes
continuum models
equilibrium models
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Persistent DSpace Link
