Principles of Applied Mathematics

Traffic jam on Los Angeles highway.

Traffic flow is one of the problems tackled in Principles of Applied Mathematics. (Image courtesy of Jeff Turner (respres) on Flickr. CC BY 2.0.)


MIT Course Number


As Taught In

Spring 2014



Cite This Course

Course Features

Course Description

18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class 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.

Rodolfo Rosales. 18.311 Principles of Applied Mathematics, Spring 2014. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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