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.)
Instructor(s)
Prof. Rodolfo Rosales
MIT Course Number
18.311
As Taught In
Spring 2014
Level
Undergraduate
Course Description
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.
