18.311 Principles of Continuum Applied Mathematics


Class Info

Covers fundamental concepts in continuous applied mathematics. Applications from traffic flow, fluids, elasticity, granular flows, etc. Also covers continuum limit; conservation laws, quasi-equilibrium; kinematic waves; characteristics, simple waves, shocks; diffusion (linear and nonlinear); numerical solution of wave equations; finite differences, consistency, stability; discrete and fast Fourier transforms; spectral methods; transforms and series (Fourier, Laplace). Additional topics may include sonic booms, Mach cone, caustics, lattices, dispersion and group velocity. Uses MATLAB computing environment.

This class has 18.03, and 18.034 as prerequisites.

18.311 will not be offered this semester. It will be instructed by R. R. Rosales.

Lecture occurs 11:00 AM to 12:30 PM on Tuesdays and Thursdays in E17-122.

This class counts for a total of 12 credits.

In the Spring 2015 Subject Evaluations, 18.311 was rated 4.0 out of 7.0. You can find more information at the Course Website site.

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