Theoretical Mechanics
Indian Institute of Technology Guwahati and NPTEL via Swayam
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Overview
INTENDED AUDIENCE: First year of MSc or 2nd and 3rd year of BE/BTech in Engg PhysicsPREREQUISITES: Introduction to Newtonian Mechanics is desired.
Syllabus
COURSE LAYOUT
Week 1: Motion and Constraints, Generalized Coordinates, D’Alembert’s Principle of Virtual WorkWeek 2: Variational Calculus, Hamilton’s Principle, Lagrangian Formulation.Week 3: Application of Lagrangian Formulation, Configuration Space and Phase Space.Week 4: Hamilton’s Equations of MotionWeek 5: Cannonical Transformations, Cannonical invariants, Symplectic Approach to CT.Week 6: Poisson Bracket Formulation, Symmetry groups of Mechanical Systems, Liouville’s TheoremWeek 7: Hamilton Jacobi Theory, Hamilton’s Principal Fucntion, Action-Angle variables.Week 8: Lagrangian and Hamiltonian Formulation for Continuous Systems and Fields.Week 9: CanonicalTransformations
Week 10:Poisson Bracket Formulation
Week 11:Hamilton-jacobi Theory
Week 12:Chaos
Taught by
Prof. Charudatt Kadolkar
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