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Module Outline

Advanced Classical

Module Code PO3.4 FHEQ Level Level 6

Pre-requisites None Co-requisites None

Primary Department Physics

Module Leader Prof Carlo Contaldi

Additional Teaching None Departments

Teaching Staff Prof Carlo Contaldi + Associate

Programmes on which the Module is delivered Core/Elective

UG Physics with programmes (F325, F390) Core

All other UG Physics programmes (F300, F303, F309, F3W3, F3XC, F3XD) Elective

On completing the Advanced Classical Physics course, students will have:  A thorough understanding of classical physics at an advanced level. Learning Outcomes  A more complete understanding of theoretical formalism.  A basis for understanding the formal development of the of quantum and .

 Rotating frames: Angular and angular vectors, Centrifugal and Coriolis  Rigid bodies: tensor, Principal moments and principal axes of inertia, Euler angles  : Calculus of variations, , Principle of least action, Euler-Lagrange equation, Generalised co-ordinates and momenta, Constraints, Normal modes  : Hamilton’s equations, Poisson brackets, Description of Content Canonical transformations, Continuous symmetries and conservations laws  Dynamical systems: Linearisation of systems of differential equations, stability analysis of systems with up two or more dimensions.  Relativistic : Four-vectors, Contravariant and covariant vectors, Lorentz tensors, Einstein convention, Faraday tensor, Lorentz transformations for electromagnetic fields, Maxwell’s equations in four-vector form, Four-vector potential

Assessment Assessment Type Weighting

Written exam Exam 100%

Learning & Teaching Independent Study Placement Hours Total Hours Hours Hours

57 93 0 150

Page 1 of 2 ECTS Credit 6 CATS Credit 12

Date of introduction October 2016 Date of Last Revision