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This entry is from Summer semester 2018 and might be obsolete. You can find a current equivalent here.
Elementary Algebraic Geometry
(dt. Elementare Algebraische Geometrie)
Level, degree of commitment | Advanced module, compulsory elective module |
Forms of teaching and learning, workload |
Lecture (4 SWS), recitation class (2 SWS), 270 hours (90 h attendance, 180 h private study) |
Credit points, formal requirements |
9 CP Course requirement(s): Written or oral examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises. |
Language, Grading |
German,The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Mathematics. |
Duration, frequency |
One semester, Regularly alternating with the other advanced modules |
Person in charge of the module's outline | Prof. Dr. Thomas Bauer |
Contents
Geometry in affine, euclidean and projective spaces; comparison of the underlying transformations and invariants, as well as the respective ways of working.
Geometry of plane algebraic curves: curves and their equations, Bézout's theorem, singularities, linear systems.
Qualification Goals
The students shall
- get to know different ways of working with geometry,
- learn about the interaction of geometric and algebraic-analytical methods,
- practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques),
- improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.
Prerequisites
Translation is missing. Here is the German original:
Keine. Empfohlen werden die Kompetenzen, die in den Basismodulen vermittelt werden.
Applicability
Module imported from B.Sc. Mathematics.
It can be attended at FB12 in study program(s)
- B.Sc. Computer Science
- 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.
Die Wahlmöglichkeit des Moduls ist dadurch beschränkt, dass es der Reinen Mathematics zugeordnet ist.
Recommended Reading
- Coxeter: Introduction to Geometry, John Wiley & Sons
- Fischer, G.: Ebene algebraische Kurven, Vieweg
- Koecher, Krieg: Ebene Geometrie, Springer
- Agricola, Friedrich: Elementargeometrie, Vieweg
Please note:
This page describes a module according to the latest valid module guide in Summer semester 2018. 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
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.