Introduction -- Recapitulation of Newtonian mechanics -- The Lagrange formalism -- The canonical or Hamilton formalism -- Symmetries and transformations -- Looking beyond classical mechanics -- Two-body central forces -- Rigid body dynamics -- Small oscillations and stability -- Motivation of the theory of relativity -- A simple look at phenomenological consequences -- Aspects of special relativity -- Equation of motion of a particle in a gravitational field -- Tensor calculus for Riemann spaces -- Einstein’s equation of the gravitational field -- The Schwarzschild solution