We will come to know different approaches to determine the classical equations of motion of mechanical systems, and to discuss the features of the solutions of these equations. The following topics will be covered

Mathematical Methods.     Vectors, coordinates, complex numbers, equations of motion, conservation laws
basics of variational calculus, solutions of differential equations
Newtonian mechanics. axioms, Galileo-transformations, phase space
Lagrange mechanics. derivation, equations of motion
Model systems. motion of planets and asteroids: Kepler problem
solid bodies: center of mass, rotation, reflection