Inhalt
[ 201COMACALU18 ] UE Computer Algebra
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| (*) Leider ist diese Information in Deutsch nicht verfügbar. |
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| Workload |
Ausbildungslevel |
Studienfachbereich |
VerantwortlicheR |
Semesterstunden |
Anbietende Uni |
| 1,5 ECTS |
B3 - Bachelor 3. Jahr |
Mathematik |
Carsten Schneider |
1 SSt |
Johannes Kepler Universität Linz |
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| Detailinformationen |
| Quellcurriculum |
Bachelorstudium Technische Mathematik 2025W |
| Lernergebnisse |
Kompetenzen |
| (*)The students understand basic algorithms in computer algebra and how they can be applied for problem solving in mathematics.
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| Fertigkeiten |
Kenntnisse |
(*)- Learning basic structures and algorithms in computer algebra [K2,K5];
- Analyzing the complexity of algebraic algorithms [K4,K5];
- Properties of the extended Euclidean algorithm in Euclidean domains [K2] and its application [K3] (operations in algebraic field extensions, partial fraction decomposition, Chinese Remainder Theorem, Pade approximation, rational function reconstruction, rational number reconstructions);
- Understanding of modular algorithms in the context of the Euclid algorithm [K2,K5];
- Basic understanding of Gröbner bases [K2,K4] with a special focus on algorithms (Buchberger's algorithm) and solving ideal theoretic problems in mathematics [K3].
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(*)Extended Euclidean algorithm with applications, resultant, Mignotte bound, modular algorithms of the Euclidean algorithm, algorithmic Gröbner bases theory with applications.
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| Beurteilungskriterien |
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| Abhaltungssprache |
Englisch |
| Literatur |
Joachim von zur Gathen and Jürgen Gerhard, "Modern Computer Algebra", Cambridge University Press, 2013 (or earlier versions)
F.Winkler, "Polynomial Algorithms in Computer Algebra", Springer-Verlag Wien New York (1996)
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| Lehrinhalte wechselnd? |
Nein |
| Äquivalenzen |
ist gemeinsam mit 201ALGECALV12 VL Computer Algebra (3 ECTS)
äquivalent zu
TM1WHKVCASY: KV Computeralgebra (4,5 ECTS)
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| Frühere Varianten |
Decken ebenfalls die Anforderungen des Curriculums ab (von - bis)
201ALGECALU12: UE Computer Algebra (2013W-2018S)
201ALGECALU12: UE Computeralgebra (2012W-2013S)
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| Präsenzlehrveranstaltung |
| Teilungsziffer |
25 |
| Zuteilungsverfahren |
Direktzuteilung |
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