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Mathematical 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): 6.00 OR 5.00 OR 3.00 (differs over time) 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:

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 2019/20" (past)

Time span: 2020-02-01 - 2020-09-20
Choosen plan division:


magnify
see course schedule
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
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 2020/21" (past)

Time span: 2021-02-01 - 2021-06-30
Choosen plan division:


magnify
see course schedule
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
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 2021/22" (past)

Time span: 2022-02-01 - 2022-06-30
Choosen plan division:


magnify
see course schedule
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
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

Type of subject:

obligatory

(in Polish) Grupa przedmiotów ogólnouczenianych:

(in Polish) nie dotyczy

Classes in period "Winter semester 2022/23" (in progress)

Time span: 2022-10-01 - 2023-01-31
Choosen plan division:


magnify
see course schedule
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
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

Type of subject:

obligatory

(in Polish) Grupa przedmiotów ogólnouczenianych:

(in Polish) nie dotyczy

Course descriptions are protected by copyright.
Copyright by Cardinal Stefan Wyszynski University in Warsaw.
ul. Dewajtis 5,
01-815 Warszawa
tel: +48 22 561 88 00 https://uksw.edu.pl
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