## PHYS 4392 Learning Outcomes - F14

`Last edit: 20 Aug 2014`

At the conclusion of PHYS 4392, the competent student will be able to,
in a time-limited, closed book exam-like setting, and in homework exercises:

- calculate the gradient of scalar functions, and the curl and gradient of vector functions;
- transform integrals using the theorems of Gauss and Stokes;
- calculate the electrostatic potential V(x) from a knowledge of the electrostatic electric field
and by using the multipole expansion in tandem with a knowledge of the charge distribution;

- calculate with the differential and integral forms of Gauss' law;
- understand the electrostatic properties of conductors;
- use the method of images to calculate the electric potential;
- use the separation of variables technique to solve Laplace's equations;

- calculate the static electric field and bound charge distributions in dielectrics;
- calculate the static magnetic field in vacuum and in magnetic materials for a given time-independent current density;

- calculate time dependent behavior of electric and magnetic fields in vacuum using
Maxwell's equation;
- calculate the energy and momentum carried by electromagnetic fields in vacuum.

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