CCMAS Course Search

Functions of complex variable and the properties and consequences of analyticity: techniques of analytical continuation and applications; calculus of residues; Complex integration; 'Systematic' methods of obtaining 'exact' solutions of O.D.E.; in closed forms; Local and global analysis of initial and boundary values problems; Applications will include solutions of Eigenvalues of Schroedinger type equations; the classical Anharmonic oscillator; Introduction to partial differential equation methods of characteristics for solving first order p.d.e; transform methods and application to the solution of initial and boundary value problems

Radiometric Units; Lasers: Laser operations; Lasing Actions; TEM modes; Biological effects: eye damage; skin damage; Protection Guides and Standards; Maximum Permissible Exposure (MPE); Safety Measurements; power and energy; Beam divergence; Radiofrequency (RF) and Microwave: Communications; antennas and antenna gain; Penetration depth GSM handsets and base stations; Biological Effects; Thermal and Non Thermal Effects; temperature-humidity index microwave Measurements; survey meters; Protection Guides and Standard Maximum permissible exposure (MPE); Safety

Types of non-linear dynamical systems and connections between them; Poincare sections; conjugacy and flow equivalence; Review of portraits and the geometry of solutions to ordinary differential equations; Stability: Liapunov; quasi-asymptotic stability; Liapunov functions; Liapunov stability theorems and linear stability (for distinct eigenvalues); Stationary points in R2; Population models as examples; Periodic orbits in ordinary differential equations; Statement and explanation of Poincare-Bendixson theorem; Poincare index and Dulac criterion; Bifurcation theory (by Taylor's series) and Hopf bifurcation; Maps of the interval; Fixed points; periodic points and stability; Saddle-node and periodic doubling bifurcations; Chaos: Piecewise linear maps; the tent map; Transitivity and chaos (sensitive dependence on initial conditions); Brief description of the maps x - nx(1-x); particularly for n=4; and topological conjugacy; Period three implies existence of all periods; Statement of Sharkovskii theorem

Physics and Principles of diagnostic imaging equipment: radiographic unit; computed tomography; mammographic units; Principles of radiation therapy (teletherapy and brachytherapy); Physics of radiotherapy equipment; CO-60 unit and Linear accelerator; Physics and operational principles of Gamma camera; Physics of positron Emission Tomography (PET); Physics and operational principles of Magnetic Resonance Imaging (MRI); Industrial Uses: Industrial radiography; Tracing; Gauging; Material Modification; Sterilization food preservation and others; Research Uses; Neutron Activation Analysis; Particle-induced X-ray Emission (PIXE) and others

Interpolation schemes; the Lagrangian representation; Aitkin algorithm least square fit; Interactive processes; Solution of linear equations; Gaussian elimination; inversion of matrices; Fourier series and harmonic analysis; Difference equations; Numerical integration and differentiation - Trapezium; Simpson's; limitation of size of grid; Solution of ordinary differential equation; step by step methods; Partial differential equation; simple wave propagation forward difference; backward difference; central difference in time; the implicit scheme; conditions for stability; e.g.; diffusion equation; hyperbolic equation method of relaxation and other interactive schemes applied to simultaneous equations; ill-conditioned equations; Elliptic equations - interactive methods; spectral series method; Functional representation; minimization and telescoping; Computer solution of equations

The Standard Model: Elementary particles (quarks; leptons; antiparticles and hadrons); Forces of nature (electromagnetic; strong; weak; gravity); Gauge Bosons (photons; gluons; W+ and Zo; graviton); Strength and range of interactions; Theoretical framework; Natural limits; Four vectors; Electromagnetic Interaction: QED; Feynman diagrams; Vertices; Perturbation theory; Renormalization; Weak Interactions: Charged currents; Parity violations; Weak interaction of leptons and quarks; Neutral currents; Electroweak unification and the Glashow-Weinberg-Salam model; W+ and Zo bosons; Precision tests of the standard models in e+e-; Strong Interaction: QCD; Gluons and colour; Properties of QCD (quarks confinement; asymptotic freedom and hadrons); Strong interaction vertices; Running coupling constants; Quark model of hadrons: light quark meson; Baryons: Mesons; masses and magnetic moments; Hadron resonances; The c and b-quarks; Beyond the Standard Model: the Higgs boson; Neutrino oscillations; Grand Unification (proton decay); Supersymmetry

Basic concept and common phenomena: Debye shielding; dielectric constant; charge and current densities; conservation laws; dispersion relations in a magneto-plasma; Equations of continuity; diffusion; Equations of motion and transport of ionisation; adiabatic invariants; Collision; ionization and conductivity; Instabilities in plasma and waves in plasma; Ionosphere; the earth's ionosphere; Altitude distribution of charged particles; Collisions and conductivity; Plasma instabilities and generation of electron density irregularities such as sporadic E and spread F; Artificial modification of the ionosphere; The ionospheres of other planets; Magnetosphere: earth's radiation belts; Geomagnetic trapping of solar wind; Ionospheric and magnetic storms; Sun: reactions in the sun; Solar flux and emission of energetic particles

The composition of the earth; The physical characteristics of earth's material; material; electrical and magnetic properties; Earth's interior; Further evidence from seismology; geothermal state and geomagnetism; Geodynamics - Global picture of the dynamic earth; Plate theory and rheology of the earth's interior; Evidence from geomagnetic reversals; Mechanism of earthquake and the new global tectonics; Field and laboratory investigations especially high pressure geophysics

Interactions of a point particle; Symmetries and conservation laws; fundamental invariants; energy-momentum tensor; Neother's theorem; Green's functions; Radiations; Relativistic Wave equations: the Klein-Gordon equation; Dirac equation and the Weyl equation; Dirac propagator; Quantization of fields: scalar field charged scalar field; quantized radiation field; massive vector fields; Interaction with external fields: emission probabilities; Compton effect; Pair creation and annihilation; Bremmstrahlung etc; perturbation theory; Feynman rules; Feynman diagrams; Radiative corrections and renormalization: vacuum corrections; electron propagator; vertex functions; the Lamb shift; the anomalous magnetic moment; Functional methods; Introduction to Gauge Field theories

Fundamental of quantum mechanics-operators in Hilbert Space; basic axioms; Matrix formulation of quantum mechanics - state vectors; observables; equations of motion; Approximation methods in quantum mechanics; Many-electron systems; Scattering theory; Relativistic theory