Algebra

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.

Basic Information

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

Total workloadContact hoursCredits (ECTS)
270 h 90 h 9 CP

Content, Learning Outcome and Preconditions

Content

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.

Preconditions

MA1101 Linear Algebra

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

ArtSWSTitelDozent(en)Termine
VO 4 Algebra 1 [MA2101] Liedtke, C. Donnerstag, 08:30–10:00
Freitag, 10:15–11:45

Learning and Teaching Methods

lecture, exercise module, assignments

Media

blackboard

Literature

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

written exam

Exam Repetition

There is a possibility to take the exam at the end of the semester.

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