Topology 360-MS1-2TOPa
Course profile: academic
Form of study: stationary
Course type: obligatory
Field of science: natural science; discipline: 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
Rodzaj przedmiotu
Wymagania (lista przedmiotów)
Założenia (lista przedmiotów)
Założenia (opisowo)
Koordynatorzy przedmiotu
W cyklu 2022: | W cyklu 2023: |
Efekty kształcenia
Student knows the basic concepts and methods of general topology extended with selected problems of the theory of metric spaces, explains the relationships between the learned topological concepts, applies definitions and basic theorems to study the properties of metric and topological spaces and the mappings between them - KA6_WG03, KA6_WG04, KA6_WG05, KA6_UW13, KA6_UW14, KA6_UU02 .
Student acquires methodological foundations for practicing and learning mathematics: is able to comprehensively, in speech and in writing, present correct mathematical reasoning, formulate theorems and definitions from general topology, correctly use propositional calculus and quantifiers as well as elements of set theory to express notions and facts of general topology - KA6_WG01, KA6_WG02, KA6_UU01.
Student understands that modern technologies are the result of scientific discoveries, including in topology, understands the need to improve their skills and qualifications, carefully sets the priorities and sequence of their activities - KP6_UU1, KP6_KK1, KA6_WK03, KA6_KR01.
Kryteria oceniania
Credit with a grade, which is determined on the basis of active participation in classes and the results of tests. Passing exercises on the basis of tests checking the ability to solve tasks and activity during the exercises.
Literatura
1. James R. Munkres "Topology", Pearson; Second Edition 2014.
2. Bert Mendelson "Introduction to Topology" Dover Publications; Third Edition 1990.
3. M.A. Armstrong "Basic Topology" Springer; Binding Damaged and Torn Edition 1997.
4. Lynn Arthur Steen, J. Arthur Seebach Jr. "Counterexamples in Topology" Dover Publications; New edition 1995.
Więcej informacji
Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb: