1- Newtonian Mechanics: Newton's laws, conservation laws, uni-dimensional motion of a conservative system.
2- Central force motion: orbits in a central field, equations of motion, Kepler's problem, binary systems, scattering in a central force field.
3- Mechanics of a system of particles: conservation laws, applications.
4-Lagrange formalism: generalized coordinates, d'Alembert principle, Hamilton' s principle, calculus of variations, Lagrange equations, conservation laws.
5- Kinematics and dynamics of a rigid body: orthogonal transformations, Euler angles, Coriollis force, angular momentum and kinetic energy of a rigid body, tensor and moment of inertia, eigenvalues and principal axis of the tensor of inertia, equations of motion of a rigid body,
torque-free motion of a rigid body, motion of a heavy symmetric top with a fixed point.
6- Hamilton's formalis, Legendre transformations, Canonical transformations, Poisson brackets.
Bibliography of reference
MARION, J. B.; e THORNTON, S. T. (1995). Classical Dynamics of Particles and Systems. 4. ed. Academic Press.
FRENCH, A. P. (1971). Newtonian Mechanics. W. W. Norton.
GOLDSTEIN, H. (1980). Classical Mechanics. 2. ed. Addison-Wesley.
LANDAU, L. & LIFCHITZ, E. (1976). Mechanics. Pergammon.