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: Application of Lagrangian Formulation, Configuration Space and Phase Space.
Week 4: Hamilton’s Equations of Motion
Week 5: Cannonical Transformations, Cannonical invariants, Symplectic Approach to CT.
Week 6: Poisson Bracket Formulation, Symmetry groups of Mechanical Systems, Liouville’s Theorem
Week 7: Hamilton Jacobi Theory, Hamilton’s Principal Fucntion, Action-Angle variables.
Week 8: Lagrangian and Hamiltonian Formulation for Continuous Systems and Fields.