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18.311 Principles of Applied Mathematics, Spring 2003

Image showing Gaussian shaped pulse.
Image showing Gaussian shaped pulse. (Image adapted from lecture notes.)

Highlights of this Course

This undergraduate course provides an introduction to fundamental concepts in "continuous" applied mathematics. The website features problem setslecture notes, and study materials.

Course Description

Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.


Technical Requirements

MATLAB® software is required to run the .m files found on this course site.

 

MATLAB® is a trademark of The MathWorks, Inc.

 

Staff

Instructor:
Prof. Rodolfo Rosales

Course Meeting Times

Lectures:
Two sessions / week
1.5 hours / session

Level

Undergraduate

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