Introduction¶
In this module you will apply the mathematical language of ODEs and vector calculus to study waves and understand phenomena in both classical electromagnetism and fluid dynamics. We will follow three units in turn through the module:
Waves
An introduction to oscillations and waves
Derivation of the wave equation
Solving the wave equation
Wave energy and power
Dispersion relations
Standing waves
Matter waves
Electromagnetism
Introduction electrostatics, Coulomb’s law and Gauss’s law
Beginnings of magnetism up to Ampère’s law
Electromagnetic induction and Faraday’s law
Deriving Maxwell’s equations
Electromagnetic waves
Fluid Dynamics
Introduction to fluid mechanics
Conservation of mass, energy and momentum
Euler solutions and Benulli’s equation
Concepts of vorticity and rotational/irrotational flow
Deduce special forms of the NS equations, such as for incompressible, adiabatic flow, steady flow
Investigate classic fluid phenomena, such as surface waves in deep/shallow water