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This entry is from Winter semester 2021/22 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, depends on importing study program |
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. |
Subject, Origin | Mathematics, 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.
Recommended Reading
- Depending on topic
Please note:
This page describes a module according to the latest valid module guide in Winter semester 2021/22. 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:
- Winter 2016/17
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24 (no corresponding element)
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.