de | en


Module MA2101

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of SS 2009

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
WS 2020/1SS 2020WS 2009/10SS 2009

Basic Information

MA2101 is a semester module in German language at Bachelor’s level which is offered in winter semester.

This Module is included in the following catalogues within the study programs in physics.

  • Further Modules from Other Disciplines
Total workloadContact hoursCredits (ECTS)
270 h 90 h 9 CP

Content, Learning Outcome and Preconditions


This course covers basic algebraic structures such as groups, rings and fields. More specifically: subgroups, generation, quotient groups, solvable groups, homomorphisms, group actions, ideals, quotient rings, prime ideals, unique prime factorization, field extensions, finite fields, Galois theory, solvable polynomials.

Learning Outcome

Upon completion of the module, students are able to deal with diverse axiomatic structures, to develop exact arguments and to apply modern algebraic terminology. These structures include groups, rings and fields. Students are able to identify such structures and is in the position to apply the theorems and methods covered in the course.


MA1101 Linear Algebra and Discrete Structures 1

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Algebra Kemper, G. Fri, 10:15–11:45, MI HS3
Thu, 08:30–10:00, MI HS3
and singular or moved dates
UE 2 Algebra (Exercise Session) Himstedt, F. Kemper, G. dates in groups eLearning

Learning and Teaching Methods

lecture, exercise module, assignments
The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should animate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress. At the beginning of the module, the practice sessions will be offered under guidance, but during the term the sessions will become more independent, and intensify learning individually as well as in small groups.




Ch. Karpfinger, K. Meyberg, Algebra - Gruppen, Ringe, Körper, Spektrum Akademischer Verlag, Heidelberg 2008.
G. Fischer, Lehrbuch der Algebra, Vieweg, Wiesbaden, 2., ueberarb. Auflage 2011.

Module Exam

Description of exams and course work

Aktueller Hinweis angesichts des eingeschränkten Präsenzbetriebs auf Grund der CoViD19-Pandemie: Die Prüfungsform ändert sich gemäß §13a APSO einmalig auf das Prüfungsformat: einmalige Übungsleistung.
Es wird überprüft, inwieweit die Studierenden mit den grundlegenden axiomatischen Strukturen von Gruppen, Ringen und Körpern umgehen können sowie in begrenzter Zeit die gelernten Sätze und Methoden auf sie anwenden und exakt argumentieren können. Die vermittelten Inhalte werden in Form von Berechnungsaufgaben und Beweisaufgaben schriftlich geprüft.

Exam Repetition

The exam may be repeated at the end of the semester.

Top of page