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Principles of Applied Mathematics

1D turing pattern generated by Matlab.

Turing pattern in a 1D reaction-diffusion system. (Image by Dr. Aslan Kasimov.)


MIT Course Number


As Taught In

Spring 2009



Course Features

Course Description

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.

Aslan Kasimov. 18.311 Principles of Applied Mathematics, Spring 2009. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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