Functional Analysis 360-MS2-1AFa
Educational profile: general academic
Form of studies: full-time
Compulsory subject
Academic discipline: science and natural science, field of study in the arts and science: mathematics
Year of study: 1, semester: 2
Pre-props: none
lecture 30 hours exercises 30 hours
Didactic methods: lectures, calculating exercises, consultations, work on literature, solving homework, discussions in problem groups.
ECTS credits: 6
Balance of student workload:
participation in lectures15x2h = 30h
participation in exercises 15x2h = 30h
preparation for classes 15x2h = 30h
completing solving tasks started during the exercises and preparing notes at home after the classes (lectures, exercises) 7x2h = 14h
participation in consultations 7x3h = 21h
preparation for tests and participation in them 6 + 3x4h = 18h
preparation for the exam and participation in it 12h + 3h = 15h
Quantitative indicators
student workload related to classes requiring the direct participation of an academic teacher: 84 hours, 3 ECTS
student workload related to practical classes: 104 hours, 3 ECTS
Pursuant to § 9 of Order No. 31 of the Rector of the University of Białystok of April 11, 2025, the prohibited scope of use of AI systems in written works by students includes: 1) using AI systems in violation of the prohibition referred to in § 4 point 3, 2) using AI systems to a different extent or in a different manner than presented by the lecturer, 3) insufficient documentation of the use of AI systems, 4) automatic execution of the task in whole or in part by AI systems, 5) citing the results of the use of AI systems as a source of bibliographic information, 6) presenting the results of the use of AI systems as one’s own research conclusions.
Rodzaj przedmiotu
Założenia (opisowo)
Koordynatorzy przedmiotu
W cyklu 2024: | W cyklu 2025: |
Efekty kształcenia
Student understands the concepts of Banach spaces and Hilbert spaces as well as basic facts and theorems related to them. Student knows the basics of the theory of continuous linear operators Student knows examples of bounded linear operators.
KA7_WG01,KA7_WG02, KA7_WG03, KA7_WG04, KA7_UW02, KA7_UW03, KA7_UW04, KA7_UW08, KA7_UW0
Kryteria oceniania
Exam and tests.
The exam is oral or oral and written. The grade may be raised by half a degree for activity during the lecture, including well-written introductions.
Literatura
[1] J. B. Conway, A Course in Functional Analysis, Springer-Verlag, New York, 1985.
[2] Slides available at https://math.uwb.edu.pl/~zaf/kwasniewski/teaching.html
Więcej informacji
Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb: