**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.

**MATH 250, Differential Equations**