Week 1: Motion and Constraints, Generalized Coordinates, DAlemberts Principle of Virtual Work
Week 2: Variational Calculus, Hamiltons Principle, Lagrangian Formulation.
Week 3: Application of Lagrangian Formulation, Configuration Space and Phase Space.
Week 4: Hamiltons Equations of Motion
Week 5: Cannonical Transformations, Cannonical invariants, Symplectic Approach to CT.
Week 6: Poisson Bracket Formulation, Symmetry groups of Mechanical Systems, Liouvilles Theorem
Week 7: Hamilton Jacobi Theory, Hamiltons Principal Fucntion, Action-Angle variables.
Week 8: Lagrangian and Hamiltonian Formulation for Continuous Systems and Fields.