1Use index notation to derive vector and tensor relations.

2Manipulate and derive governing equations in various forms.

3Determine streamlines, pathlines, streaklines and timelines for unsteady flow.

4Determine how vorticity is produced by various mechanisms.

5Determine the motion of two-dimensional point vortices.

6Use conformal mapping to find the lift coefficient on an airfoil shape.

7Use a Schwarz-Christoffel transformation to solve for potential flow with corners.

8Use three-dimensional potential flow to solve for flow over axisymmetric bodies.

9Solve for steady and unsteady exact solutions of the Navier-Stokes equations.

10Derive and use the Stokes drag law for a sphere.

11Derive boundary layer equations, find self-similar solutions and determine scaling laws.

12Compute skin friction on an airfoil using an approximate boundary layer method.

13Determine the qualitative effects of turbulence on a flow.