Classical algebraic structures and their applications
General data
Course ID: | 1000-1D96AL |
Erasmus code / ISCED: |
11.124
|
Course title: | Classical algebraic structures and their applications |
Name in Polish: | Klasyczne struktury algebraiczne i ich zastosowania |
Organizational unit: | Faculty of Mathematics, Informatics, and Mechanics |
Course groups: |
Master seminars for Mathematics |
ECTS credit allocation (and other scores): |
6.00
|
Language: | English |
Type of course: | Master's seminars |
Short description: |
Several basic algebraic structures are studied. In particular: groups and semigroups, rings and algebras, modules, matrices and linear representations. Classical results and open problems are discussed and a variety of applications is presented. |
Full description: |
Several basic algebraic structures are studied. In particular: groups and semigroups, rings and algebras, modules, matrices and linear representations. Classical results and open problems are discussed and a variety of applications is presented. |
Bibliography: |
References will be given at the first meeting. |
Learning outcomes: |
1. Knows the selected aspects of classical algebraic structures, which are discussed at the seminar, their relationships, as well as the place the referred issues in the broader theory and reference to selected open problems. 2. Is able to clearly present the appropriate parts of the theory of some algebraic structures and discuss them in a creatively transformed way. He can produce sub-questions and hypotheses, seek their solutions and fill in the gaps in the available studies of selected issues. 3.. Knows his own limitations on existing knowledge of selected issues discussed at the seminar, and the need of futher developments. 4. Can independently search for literature on the issues that are discussed at the seminar and present synthetically a selected material. Can independently search for literature on the issues that are discussed at the seminar, also in English, and present synthetically a selected material. 5. Knows examples of applications of algebraic structures and their properties in other areas of mathematics, including solving important problems formulated in a language of school mathematics . 6. Can interact with other participants of the seminar, lead joint discussions on issues they are working on, can share his own thoughts on discussed problems. |
Assessment methods and assessment criteria: |
Grade based on presented talks and other activities on a seminar |
Classes in period "Academic year 2023/24" (in progress)
Time span: | 2023-10-01 - 2024-06-16 |
Navigate to timetable
MO SEM-MGR
TU W TH FR |
Type of class: |
Second cycle diploma seminar, 60 hours
|
|
Coordinators: | Jerzy Matczuk, Arkadiusz Męcel | |
Group instructors: | Jerzy Matczuk, Arkadiusz Męcel | |
Students list: | (inaccessible to you) | |
Examination: |
Course -
Pass/fail
Second cycle diploma seminar - Pass/fail |
Classes in period "Academic year 2024/25" (future)
Time span: | 2024-10-01 - 2025-06-08 |
Navigate to timetable
MO TU W TH FR |
Type of class: |
Second cycle diploma seminar, 60 hours
|
|
Coordinators: | Jerzy Matczuk, Arkadiusz Męcel | |
Group instructors: | Jerzy Matczuk, Arkadiusz Męcel | |
Students list: | (inaccessible to you) | |
Examination: |
Course -
Pass/fail
Second cycle diploma seminar - Pass/fail |
Copyright by University of Warsaw.