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• Generalized coordinates, Constraints, Degree of freedom
• non-Holonomic systems, Hamilton’s Holonomic and principle,
• Derivation of Lagrange equation from Hamilton’s principle
• Derivation of Hamilton’s equation from a variationally principle
• Equations of Gauge transformation
• Examples of canonical transformations Orthogonal point transformations, The principle of least action
• Applications of Hamilton’s equation to central force problems Applications to Hamiltonian formulism
• Lagrange bracket and Poisson brackets with application
• Mid term exam
• Hamilton Jacobi theory, Hamilton Jacobi theorem
• Hamilton Jacobi equation for Hamilton characteristics Functions
• Bilinear co-variant
• Quasi coordinates, transpositional relations for Quasi coordinates
• Lagrange’s equation for Quasi coordinates
• Appel’s equation for Quasi coordinates
• Whittaker equation with applications
• Chaplygain system and equation
• Final exam