Vector algebra: Differential calculus: Integral calculus: Line, surface and volume integrals, Curvilinearcoordinates: Spherical polar coordinates, Cylindrical coordinates. The Dirac delta function: The Theory of vector fields: The Helmholtz theorem, Potentials.
Electrostatics: The electric field: Application of Gauss’s law, The curl of E. Electric potential: Conductors: Basic properties, induced charges, Surface charge and force on a conductor, Capacitors.
Special techniques: Laplace’s equation in one dimension, in two dimensions, and in three dimensions, Other image problems. Separations of variables: Cartesian coordinates, Spherical coordinates. Multipoleexpansion:
Electric Fields in Matter: Polarization, Dielectric, Induced dipoles, Physical interpretation of bound charges, iLineardielectrics: Susceptibility, Permittivity, Dielectric constant,
Magnetostatics: Lorentz force law, Magnetic fields, Magnetic forces, Currents. Biot-Savart law: The divergence and curl of B: Straight-line currents, Applications of Amplere’slaw.