Partial Differential Equations and Waves

3 credits

Covers traveling waves of linear equations, dispersion relation, stability, superposition and Fourier analysis, d'Alembert solution, standing waves, vibrations and separation of variables, traveling waves of nonlinear equations, conservation laws, characteristics, breaking, shocks, and rarefaction. Prerequisite: either AMATH 351, MATH 136, or MATH 207. Offered: SpS.