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Introduction to topology and its aplications

General data

Course ID: WM-MA-WTZ
Erasmus code / ISCED: (unknown) / (unknown)
Course title: Introduction to topology and its aplications
Name in Polish: Wprowadzenie do topologii i jej zastosowań
Organizational unit: Faculty of Mathematics and Natural Sciences. School of Exact Sciences.
Course groups: (in Polish) MATEMATYKA I stopnia - rozkład zajęć: II rok
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
(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się:

mathematics

Subject level:

elementary

Learning outcome code/codes:

enter learning outcome code/codes

Preliminary Requirements:

Logic and set theory, mathematical analysis I

Full description:

The aim of the subject: Acquint the listener with the basic concepts of the theory of topological spaces (included metric ones), the main theorems, the possibilities of the generalizations, conections with other mathematical domains and potential applications.

Bibliography:
Efekty kształcenia i opis ECTS:

explains proves of basic topological statements , often applies reasoning met in other branches of mathematics

explains meaning of topological statements in other fields

illustrates basic definitions and the gravity of assumptions of main statements with the aid of examples

solves topological problems

iis able to prove basic topological theoremss

Assessment methods and assessment criteria:

colloquium, exam

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, 30 hours more information
Lectures, 30 hours more information
Coordinators: Marian Turzański
Group instructors: Marian Turzański
Students list: (inaccessible to you)
Examination: Course - examination
Classes - graded credit
Lectures - 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
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
Coordinators: Marian Turzański
Group instructors: Marian Turzański
Students list: (inaccessible to you)
Examination: Course - examination
Classes - graded credit
Lectures - 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
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
Coordinators: Przemysław Tkacz
Group instructors: Przemysław Tkacz, Sławomir Turek
Students list: (inaccessible to you)
Examination: Course - examination
Classes - graded credit
Lectures - 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 2024/25" (future)

Time span: 2024-10-01 - 2025-01-31
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
Coordinators: (unknown)
Group instructors: (unknown)
Students list: (inaccessible to you)
Examination: Course - examination
Classes - graded credit
Lectures - examination
(in Polish) E-Learning:

(in Polish) E-Learning

Type of subject:

obligatory

(in Polish) Grupa przedmiotów ogólnouczenianych:

(in Polish) nie dotyczy

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