COURSE GOALS: The principle objectives of the course Classical Mechanics 1 are the introduction of fundamental laws and methods of classical mechanics, further development of acquired mathematical skills and their applications to selected physical problems, and the preparation of students for more advanced courses in theoretical physics.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1. KNOWLEDGE AND UNDERSTANDING
1.1. demonstrate a thorough knowledge and understanding of the fundamental laws of classical and modern physics;
1.2. demonstrate a thorough knowledge and understanding of the most important physics theories (logical and mathematical structure, experimental support, described physical phenomena);
1.4 demonstrate knowledge and understanding of new insights into contemporary physics teaching methods and strategies
2. APPLYING KNOWLEDGE AND UNDERSTANDING
2.1. identify and describe important aspects of a particular physical phenomenon or problem;
2.2. recognize and follow the logic of arguments, evaluate the adequacy of arguments and construct well supported arguments;
2.3. use mathematical methods to solve standard physics problems;
2.6. create a learning environment that encourages active engagement in learning
1. Introduction and historical development of classical mechanics. Space and time in classical mechanics. Galilean transformations. Newton's formulation of classical mechanics.
2. The laws of conservation of momentum, angular momentum and energy. Conservative systems.
2-4. The Newton equation for body motion in 1D potential. Body motion in a medium with resistance in the gravitational field of the Earth.
5-8. Two body problem. Newton equation in spherical coordinates. Motion in central potential and separation of Newton's equation in the radial and angular part.
9. Particle moving in a repulsive Coulomb potential.
10-13. Rigid body problem. Fixed and moving system and the concept of angular velocity. The kinetic energy and tensor of inertial for an arbitrary rigid body. The principle axis of an arbitrary rigid body.
REQUIREMENTS FOR STUDENTS:
Students are required to regularly attend classes, participate actively in solving problems and solve homework. Furthermore, students are required to pass two written examinations during the semester.
GRADING AND ASSESSING THE WORK OF STUDENTS:
At the end of the course a written and oral examination is held for students who have successfully completed the requirements of the course.