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Curricular information is subject to change
Calculate Lagrangians for simple and complex systems and determine equations of motion from a Lagrangian. Model extremum problems using the Calculus of Variations. Explain the behaviour of a system under small perturbations from equilibrium. Understand and model the motion of a rigid body under appropriate constraints and external forces. Calculate Hamiltonians for simple and complex systems and determine equations of motion from a Hamiltonian. Extra Material: Understand the first principles of quantum mechanics in terms of the sum over the classical paths in the path-integral formulation of Feynman.
Applications include: resonant systems, action-at-a-distance interacting particles, systems of constrained particles: rigid body, particles moving on a prescribed surface, coupled pendula, etc.; oscillations near the equilibrium positions, Fermat's principle of light propagation, the brachistochrone, the catenary, minimising/maximising surfaces and curves (geodesics), motion of a relativistic particle in a prescribed electromagnetic field.
|Student Effort Type||Hours|
|Specified Learning Activities||
|Autonomous Student Learning||
It is recommended that students know vector integral and differential calculus (ACM20150 or equivalent).
|Description||Timing||Component Scale||% of Final Grade|
|Continuous Assessment: Take-home assignments and in-class exams||Varies over the Trimester||n/a||Standard conversion grade scale 40%||No||
|Examination: End of semester examination||2 hour End of Trimester Exam||No||Standard conversion grade scale 40%||No||
|Resit In||Terminal Exam|
|Spring||Yes - 2 Hour|
• Group/class feedback, post-assessment
Not yet recorded.
|Lecture||Offering 1||Week(s) - Autumn: All Weeks||Fri 11:00 - 11:50|
|Tutorial||Offering 1||Week(s) - 3, 4, 5, 6, 7, 8, 9, 10, 11, 12||Mon 13:00 - 13:50|
|Lecture||Offering 1||Week(s) - Autumn: All Weeks||Tues 11:00 - 11:50|
|Lecture||Offering 1||Week(s) - Autumn: All Weeks||Wed 10:00 - 10:50|