Lecture Notes 1: Historical background, vector calculus, Maxwell's equations, energy and momentum. Magnetic monopoles. Lecture Notes 2: Linear media, polarisation and magnetisation, Maxwell's equations in matter, boundary conditions, energy and momentum, the Clausius-Mossotti relation, solved problems. Lecture Notes 3: Plane waves, polarisation, dispersion, the Kramers-Kronig relations. Lecture Notes 4: Scalar and vector potentials, the inhomogeneous wave equation, the delta function, the Green function. Lecture Notes 5: Radiation from a generalised localised source, electric dipole radiation, magnetic dipole radiation and higher order terms, radiation from an antenna. Lecture Notes 6: Scattering, scattering from a small scatterer, many scatterers, scattering from the sky, the Born approximation, Rayleigh's explanation for the blue sky, critical opalescence, the optical theorem. Supplementary Notes. Lecture Notes 7: Special relativity, four vectors, time dilation and the Lorentz-Fitzgerald contraction, the four-velocity, energy and momentum, covariant and contravariant vectors, tensors. Lecture Notes 8: The charge-current density four-vector, the Lorentz force, the potential four-vector, the field strength tensor, the dual field strength tensor, the energy-momentum tensor. Lecture Notes 9: Fields from a static source and a moving charged particle, the Lienard-Wiechert potentials, motion in a circle. Lecture Notes 10: The Lagrangian and Hamiltonian for a charged particle and the electromagnetic field, the canonical and symmetric stress tensors, the conservation laws, the field as an ensemble of oscillators. Lecture Notes 11: Discussion of two modern fields where topics presented in this course feature: (1) The Standard Model. (2) Duality, Gravity and M-Theory.

Lecture Notes 1: Historical background, vector calculus, Maxwell's equations, energy and momentum. Magnetic monopoles.

Lecture Notes 2: Linear media, polarisation and magnetisation, Maxwell's equations in matter, boundary conditions, energy and momentum, the Clausius-Mossotti relation, solved problems.

Lecture Notes 3: Plane waves, polarisation, dispersion, the Kramers-Kronig relations.

Lecture Notes 4: Scalar and vector potentials, the inhomogeneous wave equation, the delta function, the Green function.

Lecture Notes 5: Radiation from a generalised localised source, electric dipole radiation, magnetic dipole radiation and higher order terms, radiation from an antenna.

Lecture Notes 6: Scattering, scattering from a small scatterer, many scatterers, scattering from the sky, the Born approximation, Rayleigh's explanation for the blue sky, critical opalescence, the optical theorem. Supplementary Notes.

Lecture Notes 7: Special relativity, four vectors, time dilation and the Lorentz-Fitzgerald contraction, the four-velocity, energy and momentum, covariant and contravariant vectors, tensors.

Lecture Notes 8: The charge-current density four-vector, the Lorentz force, the potential four-vector, the field strength tensor, the dual field strength tensor, the energy-momentum tensor.

Lecture Notes 9: Fields from a static source and a moving charged particle, the Lienard-Wiechert potentials, motion in a circle.

Lecture Notes 10: The Lagrangian and Hamiltonian for a charged particle and the electromagnetic field, the canonical and symmetric stress tensors, the conservation laws, the field as an ensemble of oscillators.

Lecture Notes 11: Discussion of two modern fields where topics presented in this course feature:
(1) The Standard Model. (2) Duality, Gravity and M-Theory.