The following is a list of physics concepts and mathematical methods and techniques. You should understand what is meant by each item on the list. - equilibria, static and dynamic - normal modes, in homogenous and inhomogenous media - normal mode stability - local dispersion relation, eigenvalues and eigenfunctions - linear vs nonlinear PDE's - reduced equations - annihilators - ideal fluid eqns vs dissipative NS fluid eqns - NS eqns as first order correction to ideal fluids - linearization of PDE's - frequency space and disparate frequencies - numerical stability of PDE's - self-consistent check - method of regions - asymptotic matching