Topology

General data

Course ID:	0600-MS1-2TOP
Erasmus code / ISCED:	11.102 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (unknown)
Course title:	Topology
Name in Polish:	Topologia
Organizational unit:	(in Polish) Instytut Matematyki.
Course groups:
ECTS credit allocation (and other scores):	(not available) 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
Type of course:	obligatory courses
Requirements:	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:	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

This course is not currently offered.

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