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Theoretical physics I

General data

Course ID: WM-FI-401
Erasmus code / ISCED: (unknown) / (unknown)
Course title: Theoretical physics I
Name in Polish: Fizyka teoretyczna I
Organizational unit: Faculty of Mathematics and Natural Sciences. School of Exact Sciences.
Course groups:
ECTS credit allocation (and other scores): 0 OR 6.00 OR 5.00 (depends on study program) Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: Polish
Subject level:

elementary

Learning outcome code/codes:

K_W01‒23

K_U01‒32

K_K01‒11

Short description:

Theoretical mechanics I (classical) is part of theoretical physics concerned with the motions of the bodies under the influence of forces. It is the conceptual basis of all physics. The course includes Lagrange mechanics of particles and rigid bodies, elements of relativistic mechanics.

Full description:

1. Basic concepts of the mechanics of a material point. Constraints. D'Alembert's principle. Lagrange's equations of the first kind.

2. Generalized coordinates. Lagrangian, the principle of stationary action. Euler-Lagrange equations. Generalized momenta, generalized forces. Generalized potential.

3. Symmetries of the Lagrangian. Conservation laws. Noether's theorem. Cyclic coordinates.

4. Two-body system. Reduced mass. Motion in the field of a central force.

6. Kepler's laws. Equations of conical curves. Closed and open orbits.

7. Small oscillations. Normal modes. Forced and damped oscillations.

8. Coordinate transformations. Motion in a non-inetrial frame. Motion on the rotating Earth. The Coriolis' force

9. Motion of a rigid body. Moment of inertia tensor. Principal moments, moments of deviation.

10. Euler's angles. Motion of a symmetrical top. Physical pendulum.

11. Collisions. Cross-sections.

12. Space-time. Space-time interval. Lorentz transformations. Time dilation. Length contraction. Relativistic addition of velocities.

13. Lagrangian, energy and momentum of a relativistic particle. Charged relativistic particle in the electromagnetic field.

14. Phase space. Poisson's brackets. Hamilton's equations.

15.Canonical transformations. Liouville's theorem. The Hamilton-Jacobi's equation.

Bibliography:

1. L. D. Landau i E. M. Lifszic, Krótki kurs fizyki teoretycznej. T.1. Wyd. III (PWN, Warszawa, 1980).

2. M. Kozielski i M. Kozielska, Wybrane zagadnienia z fizyki (Wyd. Politechniki Poznańskiej, Poznań, 1996).

3. L. D. Landau i E. M. Lifszic, Mechanika (PWN, Warszawa, 1961).

4. W. Rubinowicz i W. Królikowski, Mechanika teoretyczna (PWN, Warszawa, 1955).

5. W. S. Urbański, Mechanika teoretyczna. Wyd.II (PWN, Warszawa, 1970).

6. C. Kittel, W. D. Knight, i M. A. Ruderman, Mechanika (PWN, Warszawa,1969).

Efekty kształcenia i opis ECTS:

Explains the problems of classical mechanics and the relation to experimental physics.

Knows the theoretical and mathematical description of the laws of classical mechanics.

Formulates the problems of classical mechanics in a mathematical language.

Solves the problems of classical mechanics.

ECTS description:

Participation in the lecture: 30h

Preparation for classes: 42h

Preparation for verification: 8h

Consultations with the lecturer: 2h

Assessment methods and assessment criteria:

Written and oral exam. The solving of specific problems and knowledge of the theoretical side of the discussed issues is required.

Classes in period "Winter semester 2020/21" (past)

Time span: 2020-10-01 - 2021-01-31
Choosen plan division:


magnify
see course schedule
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
Coordinators: Tomasz Radożycki
Group instructors: Tomasz Radożycki
Students list: (inaccessible to you)
Examination: examination
(in Polish) E-Learning:

(in Polish) E-Learning (pełny kurs) z podziałem na grupy

Type of subject:

obligatory

(in Polish) Grupa przedmiotów ogólnouczenianych:

(in Polish) nie dotyczy

Wymagania wstępne:

General physics I, mathemtical analysis, algebra

Course descriptions are protected by copyright.
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