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.
- MATH 250, Differential Equations
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).
- Spring 2017, MATH 597-005: Multiscale modeling and computations in materials, biology and engineering (Leonid Berlyand).
- Fall 2018, Math 597-001; Numerical methods for conservation laws (Wen Shen).