FYBAF0001 Theoretical mechanics

Institute of physics in Opava
winter 2020
Extent and Intensity
4/2/0. 8 credit(s). Type of Completion: zk (examination).
Guaranteed by
doc. RNDr. Stanislav Hledík, Ph.D.
Institute of physics in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The semester course introduces advanced parts of Newtonian mechanics of material points, rigid body and continuum. The interpretation is based mainly on variational principles and is partly a preparation for further study of quantum mechanics and relativistic physics. In addition to theoretical parts, important applications and examples illustrating theoretical methods are included.
Learning outcomes
The key is to get the students acquainted with variational principles based on the already known laws of Newtonian mechanics, and to develop alternative formulations of mechanics, which form the transition to more advanced parts of theoretical physics.
Syllabus
  • 1. Review of Newtonian mechanics.
  • 2. Systems of mass points subjected to constraints.
  • 3. Hamilton's variational principle.
  • 4. Methods of Lagrangian formalism.
  • 5. Celestial mechanics and scattering theory.
  • 6. Small oscillations.
  • 7. Rigid body.
  • 8. Hamiltonian formalism.
  • 9. Canonical transformations and the Hamilton-Jacobi theory.
  • 10. Basic concepts of continuum mechanics.
  • 11. Continuum dynamics.
  • 12. Boundary value problems of continuum mechanics.
Teaching methods
lectures; exercises
Assessment methods
The exam consists of written and oral part. To proceed to the oral part of the exam, it is necessary to obtain more than half the points in the written part. Unless this condition is met, the student is graded F, otherwise the student draws two test questions from the syllabus topics. The result of the exam is classified on the basis of the sum of points in both parts of the exam according to the classification table given on the website of the course.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms winter 2021, winter 2022, winter 2023, winter 2024.
  • Enrolment Statistics (winter 2020, recent)
  • Permalink: https://is.slu.cz/course/fu/winter2020/FYBAF0001