Mathematical Physics 1

The aim of the course is the illustration of the Lagrangian (and Hamiltonian, time permitting) formulation of the Newtonian mechanics. Qualitative analysis of the differential equations will be exploited, and fundamental questions like stability, variational principles and Kepler's problem will be considered.

Ability to study systems of differential equations, in particular dealing with their equilibria and the corresponding stability properties. Knowledge of machanics in its different formulations. Ability to stady constrained mechanical sytems by means of the
lagrnagian formalism.