(in Polish) Advanced mathematics 2 290-MA3-1AM2
Educational profile: general academic
Study format: full-time
Compulsory subject
Field: natural sciences, discipline: mathematics
Year of study: 1, semester: 2
Prerequisites: Algebra II, Linear Algebra II
Lecture 15 hours
Teaching methods: lectures, calculation exercises, consultations, literature review, homework, group discussions.
ECTS credits: 2
Student workload balance:
Lecture attendance 15 x 1 hour = 15 hours
Class preparation 15 x 1 hour = 15 hours
Exam preparation and participation 12 hours + 3 hours = 15 hours
Quantitative indicators
Student workload related to classes requiring direct teacher participation: 18 hours, 1 ECTS credit
Type of course
Prerequisites
Prerequisites (description)
Course coordinators
Learning outcomes
The student: knows the concepts of an associative ring and algebra; special types of elements; recognizes algebraic structures in given mathematical objects; knows important examples of rings and algebras and general ring and algebra constructions; knows basic, classical structural theorems of selected classes of rings and algebras; is able to apply the learned structural theorems to solve various problems from different areas of mathematics, with particular emphasis on number theory; is able to efficiently use arithmetic when solving various problems concerning specific algebraic objects; is able to search for necessary information in various sources (the Internet, professional literature), also in foreign languages; is able to formulate opinions on basic algebraic structural theorems and their applications in various areas of science. SD_WG01, SD_WG02, SD_WG03, SD_WK01, SD_KK03
Assessment criteria
General form of assessment: Exam. The extent of student use of AI tools is consistent with Order No. 31 of the Rector of the University of Białystok of April 11, 2025, on the use of artificial intelligence systems in the educational process at the University of Białystok.
Bibliography
1. Drozd, Y.A., Kirichenko, V.V.: Finite Dimensional Algebras, Springer, Berlin (1994).
2. R. R. Andruszkiewicz, Wstęp do teorii pierścieni nieprzemiennych, Wydawnictwo Uniwersytetu w Białymstoku, Białystok 2019. ISBN 978-83-7431-588-3. https://repozytorium.uwb.edu.pl/jspui/handle/11320/13240
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: