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Groups, rings and their applications

General data

Course ID:	1000-1L03GP
Erasmus code / ISCED:	11.103 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Groups, rings and their applications
Name in Polish:	Grupy, pierścienie i ich zastosowania
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	Proseminars for Mathematics
ECTS credit allocation (and other scores):	2.00 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. view allocation of credits
Language:	Polish
Type of course:	proseminars
Short description:	This seminar extends the standard course in Algebra I. Discussion of various classes of groups and rings, their constructions and structural theorems. Applications of groups and rings to number theory (diofantine equations), to geometry (e.g., isometry groups of polyhedra) and to combinatorics (group actions vs. double counting).
Full description:	This seminar extends the standard course in Algebra I. Discussion of various classes of groups and rings, their constructions and structural theorems. Applications of groups and rings to number theory (diofantine equations), to geometry (e.g., isometry groups of polyhedra) and to combinatorics (group actions vs. double counting).
Bibliography:	References will be given at the first meeting.
Learning outcomes:	(in Polish) 1) poszerzona wiedza z teorii grup i teorii pierścieni. 2) umiejętność samodzielnego uzupełniania szczegółów dowodów, 3) umiejętność przygotowania wystąpienia na zadany temat i przeprowadzenia poszukiwania w literaturze, również w języku angielskim. 4) umiejętność usystematyzowania wiedzy i wygłoszenia referatu na zadany temat, 5) umiejętność zredagowania tekstu matematycznego.
Assessment methods and assessment criteria:	(in Polish) Zaliczenie na podstawie wygłoszonych referatów i złożenia pracy licencjackiej.

Classes in period "Academic year 2023/24" (in progress)

Time span:	2023-10-01 - 2024-06-16	Selected timetable range: weekly course term Navigate to timetable MO TU W TH PSEM FR
Type of class:	Proseminar, 60 hours more information
Coordinators:	Łukasz Kubat, Jan Okniński
Group instructors:	Łukasz Kubat, Jan Okniński
Students list:	(inaccessible to you)
Examination:	Course - Pass/fail Proseminar - Pass/fail

Classes in period "Academic year 2024/25" (future)

Time span:	2024-10-01 - 2025-06-08	Selected timetable range: weekly course term Navigate to timetable
Type of class:	Proseminar, 60 hours more information
Coordinators:	Łukasz Kubat, Jarosław Wiśniewski
Group instructors:	Łukasz Kubat, Jarosław Wiśniewski
Students list:	(inaccessible to you)
Examination:	Course - Pass/fail Proseminar - Pass/fail

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