Text Books:    Classical Mechanics, H. Goldstein, 2nd Edt., Narosa.  
Reference Books:
               1. Mechanics, L. D. Landau & E. M. Lifshitz, 3rd Edt., Elsevier.                    
                         2. Classical Mechanics,  N. C. Rana & P. S. Joag, Wiley-Eastern.
Syllabus:
Review: Application of Newton's Laws and Conservation Laws
Lagrangian Dynamics: Mechanics of a system of particles, constraints and         generalized coordinates, Lagrange's equations, applications.
Variational Methods: Variational calculus and Least Action principle.
Central force problem: Equations of motion, orbits, Virial theorem, Kepler problem, scattering in a central force field.
Rigid body motion: Motion in non-inertial reference frames,  Orthogonal             transformations, Euler angles, coriolis effect, angular momentum and kinetic energy,  tensors and dyadic, inertia tensor, Euler equations, applications,heavy symmetrical top.
Hamiltonian formulation: Legendre transformations, Hamilton equations, cyclic coordinates and conservation theorems. 
Small oscillations: Eigenvalue problem, frequencies of free vibrations and normal modes,forced vibrations, dissipation.
Canonical transformations: principle of least action, poisson brackets, Hamilton-Jacobi theory, Action-angle variables.
Classical field theory: Lagrangian and Hamiltonian formulation of continuous system.