Courses in Mathematics with interdisciplinary interest
MATH 505, Mathematical Fluid Mechanics. Kinematics, balance laws, constitutive equations; ideal fluids, viscous flows, boundary layers, lubrication; gas dynamics.
MATH 513, Partial Differential Equations I. First order equations, the Cauchy problem, the Laplace equation, the heat equation, the wave equation.
MATH 514, Partial Differential Equations II. Solving linear PDEs by the methods of functional analysis. An introduction to Sobolev spaces. Application of linear operator theory to elliptic, parabolic, and hyperbolic boundary value problems with variable coefficients.