Archived Versions

18.311 Principles of Applied Mathematics

As taught in: Spring 2009

1D turing pattern generated by Matlab.

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




Dr. Aslan Kasimov

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.

Technical Requirements

Special software is required to use some of the files in this course: .m.