These are a set of lectures given by Prof.N. Mukunda in AIS workshop(2011) organised by School of Mathematics Univeristy of Hyderabad. The contents are as follows.

- Introduction ------------------------------------------------------------------------------------------------------- 2
- Transition from Newtonian to Lagrangian forms of EoM ------------------------------------------ 4
- Hamilton's Principle ----------------------------------------------------------------------------------------------------------13
- Transition from Lagrangian EoM to Hamiltonian EoM ------------------------------------------- 17
- Poisson Brackets, Canonical transformations,

the Covariance group of the Hamiltonian EoM ------------------------------------------------------- 20 - A role for the Action as a function ---------------------------------------------------------------------- 30
- Symmetries, Conservation Laws, Noether's Theorem and beyond ------------------------- 31
- Hamilton-Jacobi theory - a brief look ----------------------------------------------------------------- 38
- The Dirac Theory of Constrained System ------------------------------------------------------------ 40

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