Courses

Part One. Fundamental concepts of space-time. Galileo's transformations in space-time. Motion in space and evolution in space-time. Galileo's principle of relativity (inertial reference systems). Newton's principle of determinism (fundamental equation of Classical Mechanics). Newton's laws and inertial forces. Non-inertial systems, relative motions. Momentum, Torque, Kinetic energy. Systems of material points: motion about the center of mass, Köning's theorems. Part Two. Force fields. Potential function and energy function. Work, Power, Momentum and the principle of conservation of energy. Oscillations (Harmonic, decreasing, free and forced, pendulum). Motion in central force fields. The law of universal gravitation and the motion of celestial bodies. Part Three. The theosophical space of solid bodies. The rotation operator and the Chasles-Euler theorem. The inertia operator and the Sylvester theorem. Ellipsoids of energy and angular momentum. Euler equation and study of the motion of solid bodies. In order to highlight the special elements of pedagogical and didactic competence contained in the course, emphasis is placed on its historical evolution, the development of its cognitive object, but also on its applications in technology and/or other sciences.