Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-410 Analytical Dynamics
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MATH-410 Analytical Dynamics
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Lagrange’s Theory of Holonomic Systems Generalized coordinates Holonomic and non-holonomic systems D’Alembert’s principle, d-delta rule Lagrange equations Generalization of Lagrange equations Quasi-coordinates Lagrange equations in quasi-coordinates First integrals of Lagrange equations of motion Energy integral Hamilton’s Theory Hamilton’s principle Generalized momenta and phase space Hamilton’s equations Ignorable coordinates, Routhian function Derivation of Hamilton’s equations from a variational principle The principle of least action Lagrange’s Theory of Non-Holonomic Systems Lagrange equations for non-holonomic systems with and without Lagrange multipliers Hamilton’s Principle for non-holonomic systems Canonical Transformations The equations of canonical transformations Examples of canonical transformations The Lagrange and Poisson brackets Equations of motion, infinitesimal canonical transformations and conservation theorems in the Poisson bracket formulation Hamilton-Jacobi Theory The Hamilton-Jacobi equation for Hamilton’s principal function The harmonic oscillator problem as an example of the Hamilton-Jacobi method The Hamilton-Jacobi equation for Hamilton’s characteristic function Separation of variables in the Hamilton-Jacobi equation |
| Credit hours/ Marks:- 3 |
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