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This entry is from Winter semester 2016/17 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. Computer Science, this module can be attended in the study area Minor subject Mathematics.


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 Winter semester 2016/17. 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.