Curriculum
Subject: Classical Mechanics
Subject Code: 09020102
S. No. 
Topic 
Learning Objective 
Teaching guidelines 
Methodology 
Time (Hrs) 
1  LAGRANGIAN FORMULATION &HAMILTON’S PRINCIPLES

To acquaint the student with the mathematical concepts and techniques in regard to various problems of classical mechanics for a mature understanding of physical theories and concepts. 
To cover the mechanics of a system of particles constraints of motion, generalized coordinates, D’Alembert’s Principle, Lagrange’s velocity dependent forces (gyroscopic), dissipation function, Application of Lagrangian formulation, Hamilton principle and Lagrange’s equation from Hamilton principle. 

10 
2  RIGID BODY MOTION

To attempt to analyse/understand/predict the behavior of rigid bodies.  To cover Reduction to equivalent one body problem the equation of motion and first integrals the equivalent one dimensional problem classification of orbits the differential equation for orbits. Kepler’s problem (inverse square law) and scattering in central force field. 

10 
3  SMALL OSCILLATIONS & HAMILTON EQUATION

To acquire working knowledge of the methods of Hamiltonian Dynamics. Students are also expected to become familiar with the specific topics of central force, rigid body and small oscillations.  To cover Euler equation of motion, Torque free motion of rigid body, motion of a symmetrical top, Eigen value equation, Free vibrations, Normal coordinates, vibration of Triatomic Molecule, Legendre Transformation, Hamilton’s equations of motion, Hamilton’s equations from variation principle, Principle of least action. 

10 
4  CANONICAL TRANSFORMATION AND HAMILTONJACOBI THEORY

Detailed knowledge of canonical transformation and HamiltonJacobi equation will help students greatly in their future study of graduate level quantum mechanics.  To cover canonical transformation and its examples, Poisson’s brackets, Equation of motion, Angular momentum, Poisson’s Brackets relations, infinitesimal canonical transformation, Conservation Theorems, HamiltonJacobi equation , Hamilton’s principal function and Harmonic Oscillator problem. 

10 