Electromagnetic Waves:
The investigates further the topics of magnetism and electromagnetic waves.
Diamagnets, Paramagnets, Ferromagnetics, Magnetisation M, Magnetisation current, Magnetic intensity H, Magnetic permeability, Magnetic susceptibility, Magnetic circuits, Reluctance, Hysteresis, Permanent magnets, Boundary conditions for B and H.
Displacement current, fourth Maxwell equation, review of vector analysis, Electromagnetic Waves, Speed, Refractive index, Attenuation, Skin depth, Uniform Plane waves, Linear Polarisation, Energy density and Power of Waves, Waves at Boundaries  reflection & refraction.
Fresnel's equations, Brewster angle, Total Internal reflection.
Additional Mechanics:
A more sophisticated treatment of classical mechanics including the concept of generalised coordinates and introducing the Lagrangian and Hamiltonian formulations.
Introduction and Review: Newton's Laws, motion of a system of N particles, conservation laws, energy, the Minimum Energy Principle, constraints, degrees of freedom, the Principle of Virtual work and D’Alembert’s Principle (with applications to simple systems).
Lagrangian Formulation and Applications: Generalised coordinates, velocities and forces leading to the derivation of Lagrange’s equation. Application of the Lagrangian method to the projectile, simple pendulum, motion under the action of central forces, and motion in a rotating frame of reference (Coriolis and centrifugal forces).
Hamiltonian Formulation: Generalised momenta, derivation of
Hamilton
’s equations. Application to the simple pendulum and central forces leading to a discussion of orbits.
Modelling Complex Systems:
This module provides an introduction to some computational techniques widely used in management, finance and in the physical sciences.
Module Content:
 Properties of complex systems; emergent behaviour, scaleinvariance.
 Artificial Neural Networks (ANN): general concepts, focus on the threelayer, feedforward, fully connected ANN. Training an ANN by back propagation.
 Genetic algorithms (GA): reproduction, crossover and mutation. Linking GAs to ANNs.
 Stochastic simulation and Monte Carlo methods: pseudorandom numbers, manipulating of stochastic variables, simple
Monte Carlo
including importance sampling and the Metropolis algorithm.
 Game theory: noncooperative game theory, the Prisoner’s dilemma.
Galaxies and Large Scale Structures:
This component is an introduction to the physics of galaxies and large scale structures in the Universe. The observational evidence will be reviewed.
 The Milky Way
 The nature of galaxies
 Evidence for dark matter
 Galactic evolution
 Galaxy clusters
 Superclusters
 Larger scale structures
 The Great Attractor
 Active Galaxies
Experimentation (Physics):
You will perform a selection of five general physics experiments of two sessions each. You will produce 10 lab diary entries, a full report on one experiment, and make an oral presentation on one experiment. You will receive detailed marking and feedback on how to improve the usefulness of these, to yourself and others. Typical experiments include: Optical fibres, Vibration interferometry, Chaos, Chromatic resolving power of a spectrometer, Laser speckle, optical image processing, supernova burst decay, etc.
