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Wintersemester 2014/2015
Prof. Franz Winkler
Dr. Günter Landsmann
Computeralgebra (326.010/326.031)
| Time: | Tue 15:30 - 18:00 |
| Place: | HS 13 |
| First Unit: | Tue 7.10.2014 |
The course consists of lectures and exercises.
Participants are expected to be acquainted with the basic notions in algebra and algorithm theory.
| Lecture: | In the lecture we will introduce the theoretical concept. | |
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A theoretical and practical introduction into the area of computer algebra will be presented.
In particular we deal with the constructive symbolic solution of systems of algebraic (i.e. polynomial)
equations, and factorization of polynomials.
The course will follow the appropriate chapters in:
F. Winkler: Polynomial Algorithms in Computer Algebra,
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| Lecture notes: | 0-title.pdf |
| 1-what-is-ca.pdf | |
| 2-1-Groebner-Intro.pdf | |
| 2-2-Groebner-Rob.pdf | |
| 2-3-Groebner-Theory.pdf | |
| 2-4-Groebner-Application.pdf | |
| 3-gcd.pdf | |
| 4-res.pdf | |
| 5-factorize.pdf | |
| 6-appendix.pdf |
| Klausur am 27.1.2015, | 15:30 -- 17:00, in HS 15 |
| ohne Unterlagen/no books | |
| klausur.pdf | |
| Ergebnisse: grades.pdf |
| Exercises: | UE 326.031 Tuesday 15:30 - 16:15 |
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The exercises consist of homework exercises and projects.
Each week you will find exercise sheets for next week's session here. Possible themes for projects will be presented at the beginning of the course. A project comprises a theme, problems, solutions, examples and an algorithm. During the semester students should congregate to small groups (4 to 6 members) and as a group choose one subject to be treated as a project topic. The members of each group are expected to work out the subject, compile the theory behind, discuss examples and develop an algorithm capable of solving the corresponding problems. All this should be summarized in a paper of 5 to 8 pages. The last three units will be devoted to presenting this work in a 15 minutes' talk by a group member. |
| Exercise sheets: | ||||
| for 14.10.2014 | ue1.pdf | |||
| for 21.10.2014 | ue2.pdf | |||
| for 28.10.2014 | ue3.pdf | |||
| for 04.11.2014 | ue4.pdf | |||
| for 11.11.2014 | ue5.pdf | |||
| for 18.11.2014 | ue6.pdf | |||
| for 25.11.2014 | ue7.pdf | |||
| for 09.12.2014 | ue8.pdf | |||
| for 16.12.2014 | ue9.pdf | |||
| Project abstracts: | CA-Projects.pdf |