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• Generalized co-ordinates and constraints
• D'Alembert's principle and Lagrange 's equation
• Hamilton's principle and Lagrange's equation
• Problem Solving Using Lagrange's Equations-I
• Problem Solving Using Lagrange's Equations-II
• Integrals of motion and conservative laws
• Lagrange's Equations with Undetermined Multipliers
• Hamiltonian of dynamical system and Hamilton's Canonical Equations
• Integrals of Hamilton‟s equation
• Canonical transformations
• Problem Solving Using Hamiltonian Dynamics.
• Poisson bracket.
• Phase space and Liouville‟s theorem
• Coupled oscillations and normal co-ordinates