**ICTS Course no.: **PHY-204.5

**Venue:** Online

**Class timings:** Wednesday 03:40 to 05:30 pm & Saturday 02:00 to 3:30 pm

**First meeting:** 22nd January 2022

**Course description:**

Recap:

Recap of Newton's laws and their consequences - System of point masses, Rigid Bodies

Classical driven-dissipative systems

Lagrangian Formulation:

Principle of least action

Noether's Theorem, Symmetries - Small Oscillations, Applications

Rigid body motion:

Euler Angles - Tops

Hamiltonian formulation:

Liouville's Theorem

Action-Angle variables

Hamilton-Jacobi Equations

Dynamical Systems and Chaos

1D Flows and Bifurcation

2D Flows, Limit Cycles, Bifurcations

Chaos: Lorenz Systems, Fixed Points, Attractors, and Fractals - KAM theory (time permitting)

** Books:**

Landau Lifshitz course on theoretical physics: Vol 1: Classical Mechanics

Classical Mechanics by Herbert Goldstein, Charles P. Poole, John L. Safko

Other books/references especially for the last topic will be given in class periodically.

**Evaluation**: 40% Assignments + 30% Mid Semester exam + 30% End SemesterExam

- Teacher: Samriddhi Sankar Ray