Module MA23401: Advanced Classical Mechanics I
 Credit weighting (ECTS)
 5 credits
 Semester/term taught
 Michaelmas term 201920
 Contact Hours
 11 weeks, 3 lectures including tutorials per week
 Lecturer
 Prof Sergey Frolov
 Learning Outcomes
 On successful completion of this course, students will (be able to):

 have a knowledge of the Lagrangian mechanics including a familiarity with Lagrangians describing various important mechanic systems;
 derive the equations of motion of a mechanical system with several degrees of freedom from its Lagrangian by using Hamilton’s principle;
 use Noether’s theorem to derive conservation laws;
 analyse qualitatively and quantitatively the motion of onedimensional systems and in a central field;
 analyse small free oscillations, forced oscillations and damped oscillations of a system with any number of degrees of freedom, compute its characteristic frequencies and normal coordinates;
 use Euler angles and Euler equations to analyze the motion of a rigid body;
 Module Content

 Lagrangian, Hamilton’s principle, Lagrange's equations, Constrained dynamics;
 Conservation laws and Noether’s theorem ;
 Motion in one dimension and central potential;
 Oscillations: Equilibrium and motion near equilibrium;
 Rigid body motion, Euler equations;

 Module Prerequisite
 MA1241  Mechanics I
 Recommended Reading
 Herbert Goldstein, Classical Mechanics, third edition, Addison Wesley
 V.I. Arnold, Mathematical Methods of Classical Mechanics, SpringerVerlag Berlin and Heidelberg GmbH & Co. K
 S. Thornton, J.Marion, 'Classical Dynamics of Particles and Systems', 5th Edition, Brooks/Cole 2004
 L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields: Volume 2 (Course of Theoretical Physics Series), ButterworthHeinemann
 Required Reading
 L.D. Landau and E.M. Lifshitz, Mechanics, ButterworthHeinemann
This module will be examined jointly in a 2hour examination in Michaelmas term. Continuous assessment will contribute 20% to the final grade for the module at the annual examination session.