Partial Differential Equations

  • MTH 232: Partial Differential Equations I. Description: Fundamental solutions of linear partial differential equations, hyperbolic equations, characteristics, Cauchy-Kowalevski theorem, propagation of singularities. Not open to students who have taken the former Mathematics 297. Prerequisites: Mathematics 204 or equivalent.
  • MTH 281: Partial Differential Equations II. Description: Linear wave motion, dispersion, stationary phase, foundations of continuum mechanics, characteristics, linear hyperbolic systems, and nonlinear conservation laws. Not open to students who have taken the former Mathematics 298. Prerequisites: Mathematics 232 or equivalent.
  • MTH 282: Partial Differential Equations III. Description: Fourier transforms, distributions, elliptic equations, singular integrals, layer potentials, Sobolev spaces, regularity of elliptic boundary value problems. Prerequisites: Mathematics 232 and 241 or equivalent.