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Module MA2341: Advanced Classical Mechanics I

Credit weighting (ECTS)
5 credits
Semester/term taught
Michaelmas term 2012-13
Contact Hours
11 weeks, 3 lectures including tutorials per week
Lecturer
Prof. Sergey Frolov
Learning Outcomes
Module Content
  • Lagrange's equations, Hamilton principle, Calculus of variations, Conservation laws;
  • Motion in central potential;
  • Oscillations: Equilibrium and motion near equilibrium;
  • Rigid body motion, Euler equations;
  • Newton's laws, Constrained dynamics, Generalized coordinates and forces, D'Alambert's principle;
Module Prerequisite
MA1241 - Mechanics I and MA1242 - Mechanics II
 
Required Reading
  • L.D. Landau and E.M. Lifshitz, Mechanics, Butterworth-Heinemann 
  • Recommended Reading
  • Herbert Goldstein, Classical Mechanics, third edition, Addison Wesley
  • V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Relativity
  • L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields: Volume 2 (Course of Theoretical Physics Series), Butterworth-Heinemann
  •  
    Assessment Detail
    This module will be examined jointly with MA2342 in a 3-hour examination in Trinity term, except that those taking just one of the two modules will have a 2 hour examination. Continuous assessment will contribute 10% to the final grade for the module at the annual examination session and at supplementals where applicable.