UFAF006 Theoretical Mechanics

Faculty of Philosophy and Science in Opava
Winter 2023
Extent and Intensity
4/2/0. 8 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Stanislav Hledík, Ph.D. (lecturer)
RNDr. Jan Hladík, Ph.D. (seminar tutor)
doc. RNDr. Stanislav Hledík, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Stanislav Hledík, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites
Newtonian Mechanics at Basic Physics Course in Semester 1.
The calculus of one real variable.
Fundamentals of linear algebra.
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
One-semester course of theoretical mechanics introduces selected parts of Newtonian mechanics of point particles, rigid bodies and the continuum. The explanation is based mainly on variational principles. In addition to sections of theoretical nature, some applications and examples illustrating the theoretical methods are also included.
Syllabus
  • 1. Repetition of Newtonian mechanics.
    2. Hamilton's variational principle.
    3. Methods of the Lagrange formalism.
    4. Celestial mechanics and scattering theory.
    5. Small oscillations.
    6. Rigid body.
    7. Basic concepts of continuum mechanics.
    8. Continuum dynamics.
Literature
    recommended literature
  • Brdička, M., Samek, L., Sopko, B. Mechanika kontinua. Academia, Praha, 2005. ISBN 80-200-1344-X. info
  • Goldstein, H., Poole, C., Safko, J. Classical Mechanics. Addison-Wesley, San Francisco, 2002. ISBN 0-321-18897-7. info
  • Calkin, M. G. Lagrangian and Hamiltonian mechanics: solutions to the exercises. World Scientific, Singapore, 1999. ISBN 978-981-02-3782-0. info
    not specified
  • Hledík S. Webové stránky předmětu. URL info
Teaching methods
Lecture supplemented with a discussion
Internship
Skills demonstration
Assessment methods
Test
The analysis of student 's performance
Credit
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
The test takes the form of an oral debate - the student will draw two test questions from the syllabus topics. The answer to each question is rated from 0 to 5 points. In total the student can earn up to 10 points. Before the debate with the examiner, the student has time for preparation. The test results are graded according to the classification table on a Web page (see link at Content).
The course is also listed under the following terms Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021, Winter 2022.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2023/UFAF006