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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 |
---|---|
Lectures | 30 |
Tutorial | 12 |
Specified Learning Activities | 24 |
Autonomous Student Learning | 40 |
Total | 106 |
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 | 40 |
Examination: End of semester examination | 2 hour End of Trimester Exam | No | Standard conversion grade scale 40% | No | 60 |
Resit In | Terminal Exam |
---|---|
Spring | Yes - 2 Hour |
• Group/class feedback, post-assessment
Not yet recorded.