Vector Calculus
Demonstrate the ability to apply the concepts of vector calculus as used in Maxwell's equations.
Integrating Static Sources
Demonstrate the ability to integrate over a source distribution to calculate time-independent fields and potentials for both electricity and magnetism. Also demonstrate the ability to use Gauss's law and Amperes law to find electric and magnetic fields in symmetric situations.
Image Charges and Currents
Demonstrate the ability to use vacuum harmonics, image charges, and image currents to solve for time-independent electric and magnetic potentials and fields.
Material Influences
Demonstrate the ability to calculate electric and magnetic fields in the presence of matter which can be electrically and magnetically polarized, including the ability to solve problems involving torques and potential energies of electric and magnetic dipoles.