Classical Mechanics 1

Mathematical introduction: Coordinates, vector algebra, partial derivatives. Particle kinematics: general concepts, velocity, acceleration, rotational motion. Newton’s laws, Galilean relativity, inertial and non-inertial frames Particle dynamics: applications of Newton’s laws, work, kinetic energy, momentum, angular momentum. Potential energy, conservation laws. Motion in a potential I: 1D potential, central forces, Keplerian motion. Motion in a potential II: Oscillations. Mathematical addition: complex numbers. Many particle systems, conservation laws, collisions. Rigid body rotation I: Theory (angular velocity and acceleration, tensor of inertia, moment of inertia, torque, angular momentum, kinetic energy). Rigid body rotation II: Applications (rolling, precession, gyroscopes). Basics of special relativity (Optional) Gravitation.