|Level, degree of commitment in original study programme||Intermediate module, required module|
|Forms of teaching and learning,
|Lecture (4 SWS), recitation class (2 SWS), |
270 hours (90 h attendance, 180 h private study)
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination
|German,The grading is done with 0 to 15 points according to the examination regulations for study course B.Sc. Mathematics.|
|Original study programme||B.Sc. Mathematik / Mathematik Aufbaumodule (Kernfächer)|
|One semester, |
each winter semester
|Person in charge of the module's outline||Prof. Dr. Thomas Bauer, Prof. Dr. István Heckenberger, Prof. Dr. Sönke Rollenske, Prof. Dr. Volkmar Welker|
Elementary theory of groups and rings. Basic theorems on the structure of subgroups and ideals. Constructions of groups and rings (e.g.; quotient structures). Special classes of groups and rings and their theory (e.g. Abelian groups, factorial and Euclidean rings). Connections to number theory or algebraic geometry. Beginnings of field theory.
- understand basic principles of elementary algebraic objects,
- derive simple properties from axiomatically defined algebraic structures,
- recognize algebraic structures in other mathematical areas.
- mathematical methods (development of mathematical intuition and its formal justification, training of abstraction and formulation of proofs),
- in the recitation classes, oral communication skills through discussion and presentation in front of an audience.
None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis.
- M. Artin, Algebra, Birkhäuser, 1993.
- S. Bosch, Algebra, 8. Aufl., Springer, 2013.
- G. Fischer, Lehrbuch der Algebra, 3. Aufl,, Spektrum 2013.
- S. Lang, Algebra, Addison-Wesley, 1984.
This page describes a module according to the latest valid module guide in Wintersemester 2022/23. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- WiSe 2016/17 (no corresponding element)
- SoSe 2018 (no corresponding element)
- WiSe 2018/19
- WiSe 2019/20
- WiSe 2020/21
- SoSe 2021
- WiSe 2021/22
- WiSe 2022/23
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.