240092 Computeralgebra (V) (SoSe 2025)

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Computeralgebra
===============

In der Vorlesung Computeralgebra werden wir einige grundlegende
Algorithmen in der Algebra kennenlernen.
Dazu zählen z.B.:
+ Schnelles Multiplizieren von Polynomen und ganzen Zahlen
+ Primzahltests und Faktorisieren ganzer Zahlen
+ Faktorisieren von Polynomen über endlichen Körpern
+ Faktorisieren von Polynomen über den ganzen bzw. rationalen Zahlen
+ gitterbasierte Methoden und LLL-Reduktion
+ Gröbnerbasen

Neben theoretischen Aufgaben wird es auch kleinere Programmieraufgaben
geben, die wir im
Computeralgebrasystem Hecke/Oscar implementieren, welches auf Julia
basiert.

Explizit vorausgesetzt wird lediglich die Lineare Algebra.
Darüber hinausgehende Kenntnisse aus der Algebra sind natürlich
nützlich, aber nicht erforderlich.

Teaching staff

Dates ( Calendar view )

Frequency Weekday Time Format / Place Period  
weekly Di 14-16 X-E0-216 07.04.-18.07.2025
weekly Do 14-16 D2-136 07.04.-18.07.2025
not on: 5/1/25 / 5/29/25 / 6/19/25 / 7/3/25
einmalig am 03.07.2025 in E0-180

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Module Course Requirements  
24-B-PRO Profilierung Vorlesung gemäß Modulbeschreibung Graded examination
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24-B-PSE-5a Profilierung Strukturierte Ergänzung a (5LP) Vorlesung gemäß Modulbeschreibung - Student information
24-B-PSE-5b Profilierung Strukturierte Ergänzung b (5LP) Vorlesung gemäß Modulbeschreibung - Student information

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Studieren ab 50 - - - - - -  

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Last update basic details/teaching staff:
Wednesday, December 18, 2024 
Last update times:
Thursday, April 17, 2025 
Last update rooms:
Thursday, April 17, 2025 
Type(s) / SWS (hours per week per semester)
lecture (V) / 4
Department
Faculty of Mathematics
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