**Duration:**

**Number of lectures per week:** 3

**Assessment:** Regular assignments

**End-of-year Examination:** One 2-hour
One 3-hour Final examination

**Description: **
First and second parts of the course are devoted to classical mechanics

- Newton's laws, Constrained dynamics, Generalized coordinates and forces, D'Alambert's principle
- Lagrange's equations, Hamilton principle, Calculus of variations, Conservation laws
- Motion in central potential
- Rigid body motion, Euler equations
- Oscillations: Equilibrium and motion near equilibrium
- Hamilton formalism: Legendre transform, Hamilton equations, Liouville theorem
- Canonical transformations
- Hamilton-Jacobi equations, action-angle variables

Third part of the course introduces special theory of relativity and classical mechanics of continuous systems and fields.

See also `http://www.maths.tcd.ie/~frolovs/Mechanics/Mechanics.html` for further
information.

**Objectives:** Introduction to Lagrangian and
Hamiltonian mechanics,
Introduction to special relativity and field theory.

**Textbooks:**

L.D. Landau and E.M. Lifshitz/*Mechanics*, Butterworth-Heinemann

H. Goldstein/*Classical Mechanics*, third edition,
Addison Wesley

V.I. Arnold,/*Mathematical Methods of Classical
Mechanics*, Springer-Verlag Berlin and Heidelberg GmbH & Co. K.

Mar 26, 2007

File translated from T

On 26 Mar 2007, 17:32.