Topics covered - Calculus of Variations, Euler -Lagrange Equation, Lagrangian formulation.

Topics covered - Lagrangian formulation, Equation of motion, Noether's Theorem, symmetry of the Lagrangian, Hamiltonian formulation

Topics covered - Lagrangian and Hamiltonian formulation, Velocity dependent potentials, Non Inertial frame of references, Poisson bracket formulation and constants of motion associated with a Hamiltonian.

Topics covered - Poisson bracket formulation and constants of motion associated with a Hamiltonian, Canonical Transformations and associated generating functions.

Topics covered - Canonical Transformations and associated generating functions, rotating frame of reference, time dependent generating functions and transformation of Hamiltonian in new coordinates, Poisson bracket.

Topics covered - Canonical Transformations and associated generating functions, time dependent generating functions and transformation of Hamiltonian in new coordinates, Poisson bracket.

Topics covered - Canonical Transformations, Lagrangian, Hamiltonian in rotating frame of references, time dependent Hamiltonian.

Topics covered - Concept of Routhian and examples, Canonical Transformations, Special relativity