Frames of reference: Inertial and non-inertial frames, Relative velocity, Galilean transformations. Work-energy theorem: Conservative force, Potential energy, Conservation of linear momentum, Centre of mass, Centre of mass frame of reference, Torque, Conservation of angular momentum. Collision of two particles, The rocket example. Gravitational potential and Field: Brief review of Newton's law of gravitation, Potential energy of two or more masses, thin spherical shell and spheres, Central forces, Two-body force problem and reduction to one - body problem. The equations of motion: Differential equation for the orbit, Inverse square law of force Kepler's laws, Limitations of Newton's laws. Lagrangian Mechanics: Generalized coordinates, Holonomic systems, Hamilton's principle, and Lagrange’s equations.