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Lecturer(s)
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Předota Milan, doc. RNDr. Ph.D.
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Course content
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Content of lectures: 1. Solving equations of motion - force dependent on time, velocity, or position 2. Kinematics and dynamics of a single particle, conservation laws 3. Curvilinear coordinates - orthogonal curvilinear coordinates, velocity and acceleration in these coordinates, polar coordinates 4. System of material points, conservation laws, momentum theorems 5. Two-body problem, system associated with the centre of mass 6. Phase space, relation to quantum number of states 7. Motion in the central force field, effective potential, Kepler's laws 8. Systems subject to constraints, principle of virtual work, Lagrange's equations of the first kind 9. Lagrange's equations of the second kind 10. Hamilton's principle of least action, fundamentals of calculus of variations 11. Hamilton's canonical equations 12. Variational principle, principle of least action, Euler-Lagrange equations 13. Variational principle in electrostatics, Maxwell's equations in time-space Exercise content: Solving examples complementing the lectures, deriving relations
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Class attendance
- 39 hours per semester
- Preparation for credit
- 16 hours per semester
- Preparation for exam
- 16 hours per semester
- Preparation for classes
- 26 hours per semester
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Learning outcomes
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Theoretically deepen the knowledge from basic courses of physics, introduction to theoretical mechanics, demonstrate deeper connections amonf various areas of physics.
Understand importance of different formulations of laws of physics, use them for solution of model tasks, find general connections among various areas of physics.
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Prerequisites
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Passing basic courses of mechanics (UFY/FYZ1) and electricity and magnetism (UFY/FYZ2).
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Assessment methods and criteria
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Systematic student observation, Combined exam
Criteria for obtaining the course credit (zápočet): At least 50% active participation at exercises, at least 50% points from the final test (calculation of exercises). Criterium for passing the exam: At least 50% knowledge of the topic contained in the two drawn test questions.
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Recommended literature
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Havránek, A. Klasická mechanika I. Hmotný bod a tuhé těleso. Karolinum, Praha, 2003.
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Slavík J. Teoretická mechanika I, II (skriptum). Plzeň, Západočeská univerzita, 1994.
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Štoll I., Tolar J., Jex I. Klasická teoretická fyzika. Karolinum, Praha, 2017.
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