# Courses in Mathematics with interdisciplinary interest

### Basic Courses

**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.

### Topic courses

**Fall 2016, Math 597D, Topic course on Partial Differential Equations 3**(Alberto Bressan).**Spring 2015, Math 597C, Multiscale Modeling and Computational Approaches with Applications in Biology, Materials Science, and Engineering**(Leonid Berlyand).**Spring 2015, MATH 597F: Topics course on Boundary Layers**(Toan Nguyen).