Syllabus
1. Newton's laws. Energy conservation law. Significant types of forces.
2. Work and energy. Conservative forces. Potential.
3. Polar coordinates. Movement in non-inertial frames of reference. Inertial forces. Rotational motion.
4. Rigid body. Moment of inertia. Systems of particles.
5. Kepler's problem. Particle scattering.
6. Oscillations. Composition of oscillations. Waves, wave equation. String oscillations.
7. Fundamentals of analytical mechanics. Lagrange formalism. Hamiltonian formalism.
Annotation
Newton's laws and their consequences. Motion as a solution of differential equations. Mechanics of rigid bodies and systems of mass points. The movement of the planets. Waves. Fundamentals of analytical mechanics.
Recommended course from the 2nd year of Bachelor studies in Mathematics and Computer Science, especially for students with the specialization Mathematical modelling and numerical analysis.