University of Texas at Austin

CSE 396 Topics in Applied Mathematics

Advanced topics in the theory and application of applied mathematics. Recent topics have included partial differential equations, dynamical systems, kinetic theory, quantum mechanics, ergodic theory, statistical mechanics, Hamiltonian dynamics, nonlinear functional analysis, Euler and Navier-Stokes equations, microlocal calculus and spectral asymptotics, calculus of variations, and nonlinear partial differential equations. Three lecture hours a week for one semester. May be repeated for credit when the topics vary.

Recent topics

  • Partial Differential Equations II (Spr 2025)
  • PDE II: Kinetic Collisional Theory (Spr 2020)
    Broad issues on the Boltzmann and Landau equations for conservative and non-conservative systems and their connections to non-equilibrium statistical mechanics.
  • Statistical Mechanics of Kinetic Interactive Systems in Mean Field Modeling (Spr 2023)