Course Syllabus
This syllabus outlines the modules of Classical Mechanics.
- Generalised Co-ordinates
- Holonomic and Non Holonomic systems
- Lagrange's equations of motion
- energy equations for conservative fields
- Hamilton's canonical equations
- Rouths equations
- Hamilton's Principle
- Principle of Least Action
- Small Oscillations
- normal Co-ordinates
- normal mode of vibration
- Contact transformations
- Lagrange brackets and Poisson brackets
- the most general infinitesimal contact transformation
- Hamilton-Jacobi equation
- Motivating problem of Calculus of variation
- Euler-Lagrange equation
- shortest distance
- minimum surfaces of revolution
- Brachistochrone problem