18.300 Principles of Continuum Applied Mathematics
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.
18.300 will be offered this semester (Spring 2018). It is instructed by L. Faria.
Lecture occurs 9:30 AM to 11:00 AM on Tuesdays and Thursdays in 2-131.
This class counts for a total of 12 credits.
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