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Selected Problems of Mathematical Physics

General data

Course ID: WM-MA-Z-S1-E5-WZF
Erasmus code / ISCED: (unknown) / (unknown)
Course title: Selected Problems of Mathematical Physics
Name in Polish: Wybrane zagadnienia fizyki matematycznej
Organizational unit: Faculty of Mathematics and Natural Sciences. School of Exact Sciences.
Course groups:
ECTS credit allocation (and other scores): 6.00 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.
Language: Polish
Subject level:

elementary
Learning outcome code/codes:

MA2_W04


MA2_U05, 06


MA2_K01, 02
Short description:

Within the course, mathematical methods used in various branches of theoretical physics are presented in detail: from classical mechanics, through electrodynamics and quantum mechanics, to applications in field theory.
Full description:

1. Variational calculus.

2. One-dimensional and multidimensional vibrations in classical mechanics.

3. Orthogonal polynomials.

4. Harmonic oscillator in quantum mechanics.

5. The Dirac delta function.

6. The Fourier transform.

7. Applications of functions of a complex variable I.

8. Applications of functions of a complex variable II.

9. Green's functions.

10. Perturbation calculus.
Bibliography:

1. Byron F.W., Fuller R.W, Mathematics of Classical and Quantum Physics, Dover Publications, New York 1992.

2. Schwartz L., Mathematics for the Physical Sciences, Dover Publications, New York 1966.

3. L.D. Landau, E.M Lifshitz, Mechanics, Pergamon Press, 1960.

4. G. Szego, Orthogonal Polynomials, AMS 1939.

5. Schiff L., Quantum Mechanics, McGraw-Hill, many editions.

6. 7. Tichonov A.N., Samarski A.A., Equations of Mathematical Physics, Courier Corporation, 1990.
Assessment methods and assessment criteria:

Passing grade based on two colloquia in the semester.

Classes in period "Winter semester 2021/22" (past)

Time span: 2021-10-01 - 2022-01-31
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 20 hours more information
Lectures, 20 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
Course descriptions are protected by copyright.
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