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This entry is from Winter semester 2022/23 and might be obsolete. No current equivalent could be found.

Small Specialization Module Algebra/Number Theory/Geometry
(dt. Kleines Vertiefungsmodul Algebra/Zahlentheorie/Geometrie)

Level, degree of commitment Specialization module, compulsory elective module
Forms of teaching and learning,
workload		 Lecture mit recitation classen (insgesamt 4 SWS),
180 hours (60 h attendance, 120 h private study)
Credit points,
formal requirements		 6 CP
Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination
Language,
Grading		 German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Mathematics.
Duration,
frequency		 One semester,
Regularly alternating with other specialization modules
Person in charge of the module's outline All lecturers of Mathematics

Contents

Building on material from an advanced module, modern results in the fields are discussed using up to date research literature.

The topics come from one of the following areas:

  • algebra
  • number theory
  • geometry

Qualification Goals

The students

  • learn about hot mathematical research topics and results,
  • train working with research literature,
  • gain insight into the development of new mathematical results,
  • deepen their mathematical knowledge in a specific field,
  • acquire the competence to acquire and understanding of scientific articles from mathematical journals,
  • practice mathematical methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof methods),
  • improve their oral communication skills in the recitation classes by practicing free speech in front of an audience and during discussion.

Prerequisites

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. In addition, the competences that are taught in the intermediate modules (depending on the topic) are recommended.


Applicability

The module can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • M.Sc. Computer Science
  • M.Sc. Mathematics
  • LAaG Mathematics

When studying M.Sc. Mathematics, this module can be attended in the study area Specialization Modules in Mathematics.

The module can also be used in other study programs (export module).

The module is assigned to Pure Mathematics. Further information on eligibility can be found in the description of the study area.


Recommended Reading

  • Depending on topic



Please note:

This page describes a module according to the latest valid module guide in Winter semester 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:

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.