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• Week 1 Generalized coordinates, Constraints, Degree of freedom
• Week 2 non-Holonomic systems, Hamilton’s Holonomic and principle,
• Week 3 Derivation of Lagrange equation from Hamilton’s principle
• Week 4 Derivation of Hamilton’s equation from a variational principle
• Week 5 Equations of Gauge transformation,
• Week 6 Examples of canonical transformations Orthogonal point transformations, The principle of least action
• Week 7 Applications of Hamilton’s equation to central force problems Applications to Hamiltonian formulism,
• Week 8 Lagrange bracket and Poisson brackets with application
• Week 9 Mid Term Exam
• Week 10 Hamilton Jacobi theory, Hamilton Jacobi theorem
• Week 11 Hamilton Jacobi equation for Hamilton characteristics Functions
• Week 12 Bilinear co-variant
• Week 13 Quasi coordinates, transpositional relations for Quasi coordinates
• Week 14 Lagrange’s equation for Quasi coordinates
• Week 15 Appel’s equation for Quasi coordinates
• Week 16 Whittaker equation with applications
• Week 17 Chaplygain system and equation
• Week 18 Final Term Exam