#### Divergence, Gradient, Curl, and Fluids

Be able to explain what the gradient, the directional derivative, divergence, and curl mean in fluid dynamics. Also be able to explain how these concepts are involved in cases of simple gas and fluid flow.

#### MHD Equations

Be able to write down from memory the ideal MHD equations and be able to explain the physical meaning of the terms in these equations.

#### Equilbrium and Stability

Demonstrate the ability to use the energy principle to predict whether MHD equilibria are stable or unstable.

#### Resistive Instabilities

Be able to explain the physical origin of resistive instabilities in non-ideal MHD.

#### Applications

Be able to explain the physical origins and properties of the MHD instabilities and waves that are involved in magnetic fusion plasmas and astrophysical plasmas.