UF1U054 Theoretical Mechanics

Faculty of Philosophy and Science in Opava
Winter 2016
Extent and Intensity
4/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Jan Hladík, Ph.D. (lecturer)
RNDr. Jan Hladík, Ph.D. (seminar tutor)
RNDr. Jan Novotný, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Stanislav Hledík, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites (in Czech)
UFAF001 Mechanics and molecular physic || UF01000 Mechanics and molecular physic
Newtonovská mechanika na úrovni základního kurzu fyziky v 1. semestru (UF/01000 nebo UF/PA110).
Kalkulus jedné reálné proměnné (MU/01002 nebo UF/PA127).
Základy kalkulu více reálných proměnných (MU/01003); speciálně pojmy derivace ve směru, gradient skalárního pole, divergence a rotace vektorového pole, Gaussův a Stokesův teorém.
Základy lineární algebry (MU/01006 nebo UF/PA128); speciálně skalární a vektorový součin a jejich vlastnosti.
Elementární znalosti obyčejných diferenciálních rovnic, zvl. 2. řádu (Obyčejné diferenciální rovnice, MI 21: ODR, UF/PA128).
Hodí se základy geometrie křivek a ploch v 3D.
Hodí se základy funkcionální analýzy.
Další podrobnosti viz webovou stránku předmětu (link je v sekci "Obsah").
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 advanced parts of Newtonian mechanics of point particles, rigid bodies and the continuum. The explanation is based mainly on variational principles and serves partly as a preparation for further study of quantum mechanics and relativistic physics. In addition to sections of theoretical nature, important applications and examples illustrating the theoretical methods are also included.
Syllabus
  • 1. Repetition of Newtonian mechanics.
    2. Systems of particles subject to constraints.
    3. Hamilton's variational principle.
    4. Methods of the Lagrange formalism.
    5. Celestial mechanics and scattering theory.
    6. Small oscillations.
    7. Rigid body.
    8. Hamilton's formalism.
    9. Canonical transformations and Hamilton-Jacobi theory.
    10. Basic concepts of continuum mechanics.
    11. Continuum dynamics.
    12. Boundary Value Problems of continuum mechanics.
    Current information and additional study materials can be found here: http://www.hledik.org/
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
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 exam is written and oral. The written part of the exam consists of four problems, time left for solution is 120 minutes. Each problem is scored by 0-5 points. To proceed to the oral examination, student must obtain at least 11 points. Failure to comply with this condition is evaluated by the degree F. Otherwise, the student will draw two test questions from the syllabus topics. The answer to each question is rated from 0 to 5 points. Before the debate with the examiner, the student has time for preparation. The test results are graded on the basis of the sum of the points scored in both parts of the test (i.e., the maximum of 30 points) according to the grading table on a Web page (see link at Content).
The course is also listed under the following terms Winter 1993, Winter 1994, Winter 1995, Winter 1996, Winter 1997, Winter 1998, Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2017, Winter 2018, Winter 2019, Winter 2020.
  • Enrolment Statistics (Winter 2016, recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2016/UF1U054