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Introduction — Electromagnetism, Fluids and Waves

uclnatsci.github.io · 150 words · saved by 1 readers

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 See the most

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…

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