Week 1: Motion and Constraints, Generalized Coordinates, D’Alembert’s Principle of Virtual Work.
Week 2: Variational Calculus, Hamilton’s Principle, Lagrangian Formulation.
Week 3: Applications of Lagrangian Mechanics, Phase Space.
Week 4: Central Forces, Orbits, Kepler Motion.
Week 5: Central Forces, Scattering.
Week 6: Rigid Body Kinematics, Euler Angles, Rotating Frames.
Week 7: Rigid Body Dynamics, Euler Equations.
Week 8: Small Oscillations.
Week 9: Phase Space, Hamilton’s Equations of Motion.
Week 10: Cannonical Transformations, Cannonical invariants, Symplectic Approach to CT.
Week 11: Poisson Bracket Formulation, Symmetry groups of Mechanical Systems, Liouville’s Theorem.
Week 12: Hamilton Jacobi Theory, Hamilton’s Principal Fucntion, Action-Angle variables.