Print syllabusMathematical analysis III
General data
| Course ID: | WM-FI-AM |
| Erasmus code / ISCED: | (unknown) / (unknown) |
| Course title: | Mathematical analysis III |
| Name in Polish: | Analiza matematyczna III |
| Organizational unit: | Faculty of Mathematics and Natural Sciences. School of Exact Sciences. |
| Course groups: | |
| Course homepage: | http://pracownicy.uksw.edu.pl/mwolf/AM3/ |
| ECTS credit allocation (and other scores): |
5.00
|
| Language: | Polish |
| Subject level: | intermediate |
| Learning outcome code/codes: | X1A_W02 |
| Short description: |
(in Polish) Ostatni z cyklu wykładów o funkcjach, tym razem wielu zmiennych. Bedą omówione ważne dla fizyków wzory Greena i Gaussa–Ostrogradskiego. Wprowadzenie do równań różniczkowych. Analiza funkcji wielu zmiennych. Wyrażanie całek krzywoliniowych |
| Full description: |
1. Limits of functions of many variables 2. Directional and partial derivatives. Gradient, rotation, divergation 3. Directional and partial derivatives. Gradient, rotation, ivergation 4. Line integral. 5. Double integral. 6. Triple integral. 7. Change of variables in multiple integrals. 8. Green's theorem. 9. Gauss's-Ostrogradsky's theorem. 10. Ordinary differential equations. Examples. 11. Initial value problem. 12. Ordinary differential equation of second order. 13. Linear independence of solutions. Wronskian. 14. Contraction mappings and Banach fixed-point theorem. 15. theorem on existence and uniqueness of solutions. |
| Bibliography: |
Fichtenholz G.M. Rachunek różniczkowy i całkowy T. 1, 2, 3, Warszawa, wiele wydań Byron F.W., Fuller R.W. Matematyka w fizyce klasycznej i kwantowej T. 1 i 2, Warszawa, wiele wydań Rudin W., Podstawy analizy matematycznej, Warszawa, PWN wiele wyd |
Classes in period "Summer semester 2021/22" (past)
| Time span: | 2022-02-01 - 2022-06-30 |
 
MO TU W TH FR WYK
CW
|
| Type of class: |
Classes, 30 hours
Lectures, 30 hours
|
|
| Coordinators: | Marek Wolf | |
| Group instructors: | Tomasz Radożycki, Marek Wolf | |
| Students list: | (inaccessible to you) | |
| Examination: | examination | |
| (in Polish) E-Learning: | (in Polish) E-Learning (pełny kurs) z podziałem na grupy |
|
Classes in period "Winter semester 2022/23" (past)
| Time span: | 2022-10-01 - 2023-01-31 |
MO CW
WYK
TU W TH FR |
| Type of class: |
Classes, 30 hours
Lectures, 30 hours
|
|
| Coordinators: | Marek Wolf | |
| Group instructors: | Tomasz Radożycki, Marek Wolf | |
| Students list: | (inaccessible to you) | |
| Examination: | examination | |
| (in Polish) E-Learning: | (in Polish) E-Learning (pełny kurs) z podziałem na grupy |
|
Classes in period "Winter semester 2023/24" (past)
| Time span: | 2023-10-01 - 2024-01-31 |
MO CW
WYK
TU W TH FR |
| Type of class: |
Classes, 30 hours
Lectures, 30 hours
|
|
| Coordinators: | Marek Wolf | |
| Group instructors: | Tomasz Radożycki, Marek Wolf | |
| Students list: | (inaccessible to you) | |
| Examination: | examination | |
| (in Polish) E-Learning: | (in Polish) E-Learning |
|
| Type of subject: | obligatory |
|
| (in Polish) Grupa przedmiotów ogólnouczenianych: | (in Polish) nie dotyczy |
|
Classes in period "Winter semester 2024/25" (future)
| Time span: | 2024-10-01 - 2025-01-31 |
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 |
|
| Type of subject: | obligatory |
|
| (in Polish) Grupa przedmiotów ogólnouczenianych: | (in Polish) nie dotyczy |
|
Copyright by Cardinal Stefan Wyszynski University in Warsaw.
