Electric Field: the concept of a vector field, Coulomb’s law, the electric field, continuous charge distribution, divergence of the electric field, Gauss’s law, application of Gauss’s law; Work and Energy in Electrostatics: introduction to potential, Poisson’s and Laplace’s equation, boundary conditions, the energy of a point and continuous charge distribution, conductors; Electrostatic Potential: Laplace’s equation in various dimensions, conductors, boundary condition and uniqueness theorems, Techniques to Solve Laplace’s Equation: separation of variables, method of images, multipole expansion; Polarization: dielectrics, induced diploes, polar molecules alignment, bound charges, filed inside a dielectric; Displacement Current: Gauss’s law in the presence of dielectrics, boundary conditions, susceptibility, permittivity, dielectric constant, boundary value problem with linear dielectrics, energy, and force; Magnetic Field: Lorentz force law, the magnetic field, and force, current, Biot-Savart law, steady current, the magnetic field of a steady current; Magnetic Vector Potential: divergence and curl of the magnetic field, Ampere’s law, vector potential, boundary condition, multiple expansion; Magnetic Fields in Matter: magnetization, diamagnets, paramagnets, ferromagnets, torque and force on the magnetic dipole, bound currents, the magnetic field inside matter, the auxiliary field H, magnetic susceptibility and permeability; Maxwell’s Equations: electromotive force, electromagnetic induction, Faraday’s law, induced electric field, inductance, Maxwell’s equation, magnetic charge; Conservation Laws: charge and energy, the continuity equation, Poynting’s theorem, momentum, Maxwell’s stress tensor, conservation of momentum and angular momentum