Having successfully completed this course, the student will be able to:
1) Formulate, analyze and interpret the basic components of Vector Calculus (vector addition, subtraction, dot product, cross product, orthogonal coordinate systems (Cartesian, cylindrical, spherical), line-surface-volume integrals, Gradient, Divergence, Curl, Divergence and Stokes’ theorems, Null identities, Helmholtz theorem).
2) Formulate, analyze and interpret static electric fields - electrostatics (Coulomb’s law, Gauss’ law, static electric fields created by continuous charge distributions, electrostatic potential, static electric fields in material media, boundary conditions, capacitance, electrostatic energy and forces, electrostatic boundary value problems, Poisson and Laplace equations, method of images)
3) Formulate, analyze and interpret steady electric currents, equation of continuity, Joule’s law, resistance.
4) Formulate, analyze and interpret static magnetic fields - magnetostatics (Biot Savart law, Ampere’s law, vector magnetic potential, magnetization in materials, boundary conditions, inductance, magnetic energy and forces)
5) Formulate, analyze and interpret slowly time-varying (quasistatic) fields, Faraday’s law of induction, introduction to Maxwell's equations.