Wintersemester 2014/2015
Prof. Franz Winkler
Dr. Günter Landsmann
Computeralgebra (326.010/326.031)

Syllabus.pdf
 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. 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, Springer-Verlag Wien New York, 1996 (ISBN 3-211-82759-5)

 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 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