Mathematical methods of physics
General data
Course ID: | WM-CH-MMF |
Erasmus code / ISCED: | (unknown) / (unknown) |
Course title: | Mathematical methods of physics |
Name in Polish: | Metody matematyczne fizyki |
Organizational unit: | Faculty of Mathematics and Natural Sciences. School of Exact Sciences. |
Course groups: | |
Course homepage: | http://pracownicy.uksw.edu.pl/mwolf/MMF/ |
ECTS credit allocation (and other scores): |
6.00
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Language: | Polish |
(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się: | physical sciences |
Subject level: | advanced |
Learning outcome code/codes: | K_W01 23 K_U01 32 K_K01 11 |
Short description: |
For theoreticians. |
Full description: |
1. Analytic function. Evaluation of integrals with help of residua. 2. Calculus of variations. 3. Fourier transform. 4. Dirac's delta function. 5. Generalized functions (distributions). 6. Hilbert's spaces. Base. Polarisation formula. 7. Linear operators. Norm of operators. 8. Self-adjoint operators. Spectral theorem. 9. Unitary operators. Stone’s Theorem. 10, Eigenvalue problems for self-adjoint operators. 11. Complete orthonormal sets of functions. Hermite'a, Laguerre and Lagranges polynomials. 12. Green's functions. 13. Potential theory. 14. Group theory and their representations, 15. Applications of group theory in physics. |
Bibliography: |
1. Frederick W. Byron, Robert W. Fuller, Mathematics of classical and quantum physics, Dover Publications, Year: 1992 2. K.Maurin, Methods of Hilbert spaces. PWN, Warszawa, 1962 3. Halmos P.R. A Hilbert Space Problem Book, Springer, kilka wydań Literatura uzupełniająca: 1. R. Penrose, Droga do rzeczywistości. Wyczerpujący przewodnik po prawach rządzą-cych Wszechświatem, Warszawa, Prószyński i s-ka, 2006, II wyd. 2011 2. Miesięcznik Delta: http://www.deltami.edu.pl/ |
Efekty kształcenia i opis ECTS: |
Egzamin. Weryfikacja wykazuje, że bez uchwytnych niedociągnięć ma wiedzę na temat podstaw przestrzeni wektorowych oraz przestrzeni Hilberta oraz teorii grup |
Assessment methods and assessment criteria: |
Egzamin. Weryfikacja wykazuje, że bez uchwytnych niedociągnięć ma wiedzę na temat podstaw przestrzeni wektorowych oraz przestrzeni Hilberta oraz teorii grup. |
Classes in period "Summer semester 2021/22" (past)
Time span: | 2022-02-01 - 2022-06-30 |
Navigate to timetable
MO TU W TH FR |
Type of class: |
Classes, 30 hours
Lectures, 30 hours
|
|
Coordinators: | (unknown) | |
Group instructors: | (unknown) | |
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 |
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(in Polish) Grupa przedmiotów ogólnouczenianych: | (in Polish) nie dotyczy |
Classes in period "Summer semester 2022/23" (past)
Time span: | 2023-02-01 - 2023-06-30 |
Navigate to timetable
MO TU W TH WYK
CW
FR |
Type of class: |
Classes, 30 hours
Lectures, 30 hours
|
|
Coordinators: | Marek Wolf | |
Group instructors: | Marek Wolf | |
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 |
Classes in period "Summer semester 2023/24" (in progress)
Time span: | 2024-02-15 - 2024-06-30 |
Navigate to timetable
MO TU W TH FR WYK
CW
|
Type of class: |
Classes, 30 hours
Lectures, 30 hours
|
|
Coordinators: | Marek Wolf | |
Group instructors: | Marek Wolf | |
Course homepage: | http://pracownicy.uksw.edu.pl/mwolf/MMF/ | |
Students list: | (inaccessible to you) | |
Examination: | examination | |
(in Polish) E-Learning: | (in Polish) E-Learning |
|
(in Polish) Opis nakładu pracy studenta w ECTS: | I have no idea |
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Type of subject: | obligatory |
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(in Polish) Grupa przedmiotów ogólnouczenianych: | (in Polish) nie dotyczy |
|
Short description: |
Lectures for theoretical physicists |
|
Full description: |
1. Complex a2. Variational calculunalysis. Caculating integrals with residues. 2. Variational calculus 3. Fourier transform. 4.Dirac's delta function. 5. Distributions. 6. Hilbert spaces. Base, osthogonal vectors. 7. Linear operators. Spectral theorem. 8. Self-conjugate operators. 9. Unitary operatirs.. 10. Eigenvaule problems for self-conjugate operators. 11. Complete setes of functions. Hermite and Laguerre polinomials. 12. Green's functions. 13. Potential theory. 14. Group theory and representaion theory. 1. Applicagtion of group theory in physics. |
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Bibliography: |
1. Frederick W. Byron, Robert W. Fuller, Mathematics of classical and quantum physics, Dover Publications, Year: 1992 2. K.Maurin, Methods of Hilbert spaces. PWN, Warszawa, 1962 |
Copyright by Cardinal Stefan Wyszynski University in Warsaw.