University of Bialystok - Central Authentication SystemYou are not logged in | log in
course directory - help


General data

Course ID: 0600-MS1-2TOP Erasmus code / ISCED: 11.102 / (unknown)
Course title: Topology Name in Polish: Topologia
Department: (in Polish) Zakład Fizyki Matematycznej
Course groups: (in Polish) 2 rok 1 stopnia sem. zimowy Matematyka spec. Finansowa
(in Polish) 2 rok 1 stopnia sem. zimowy Matematyka spec. Teoretyczna
(in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 4.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses


Mathematical Analysis II 0600-MS1-1AM2

Short description:

Course objectives: Getting to know the basic notions and methods of general topology and certain chosen topics concerning metric spaces; acquiring an ability to solve the problems and use of the relevant literature without further assistance.

Full description:

Course profile: academic

Form of study: stationary

Course type: obligatory

Academic discipline: Mathematics, field of study in the arts and science: mathematics

Year: 2, semester: 3

Prerequisities: Mathematical Analysis II

lecture 30 h. exercise class 30 h.

Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.

ECTS credits: 4

Balance of student workload:

attending lectures15x2h = 30h

attending exercise classes 7x4h + 2h(preliminary teaching) = 30h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x2h = 10h

the final examination: preparation.and take 15h + 4h = 19h

Quantitative description

Direct interaction with the teacher: 74 h., 2 ECTS

Practical exercises: 75 h., 3 ECTS

Bibliography: (in Polish)

1. K.Kuratowski, „Wstęp do teorii mnogości i topologii”, Wydawnictwo Naukowe PWN, Warszawa 2004;

2. R.Engelking, „Topologia ogólna”, PWN, Warszawa 1975;

3. S.Gładysz, „Wstęp do topologii", PWN, Warszawa 1981;

4. K. Janich, „Topologia", Wydawnictwo Naukowe PWN, Warszawa


5. J.L.Kalley, „General topology", Springer, 1955.

Learning outcomes:

Learning outcomes:

The student knows basic notions and methods of general topology and certain chosen topics concerning metric spaces, with a special emphasis on their applications and role in differential and integral calculi.K_W02, K_W03, K_W04, K_W07

Student can recognize and describe the most important topological properties of subsets of the euclidean spaces and general metric spaces.K_U23

Student is able tu use topological properties of sets and functions in connection with various problems of mathematical analysis.K_U24

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

Classes in period "Academic year 2017/2018" (in progress)

Time span: 2017-10-01 - 2018-06-30
Choosen plan division:

see course schedule
Type of class: Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Krzysztof Zajkowski
Group instructors: Bartosz Kwaśniewski, Krzysztof Zajkowski
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
Copyright by University of Bialystok.