RISC JKU

Wintersemester 2013/2014
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 08.10.2013, HS 13

The course consists of lectures and exercises.

Participants are expected to be acquainted with the basic notions in algebra and algorithm theory.

Lectues and exercises will start on Tue 08.10.2013 in HS 13

Lectures: VO 326.010, Tuesday 16:30 - 18:00
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 Di 28.1.2014, 15:30--18:00, in HS 15

         ohne Unterlagen / no books.
Klausurbeispiele:   klausur-ca.pdf
Klausurbewertung:   punkte-noten.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.

A project comprises a theme, problems, solutions, examples and an algorithm. On October 9 possible themes for projects will be introduced. 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 (January 7, 14, 21 [2014]) will be devoted to presenting this work in a 15 minutes' talk by a group member.

Exercise sheets:
for 15.10.2012   ue1.pdf
for 22.10.2013   ue2.pdf
for 29.10.2013   ue3.pdf
for 05.11.2013   ue4.pdf
on 12.11.2013   Presentation of projects
for 19.11.2013   ue5.pdf
for 26.11.2013   ue6.pdf
for 03.12.2013   ue7.pdf
for 10.12.2013   ue8.pdf
for 07.01.2014   ue9.pdf
on 14.01.2014   Project presentations
on 21.01.2014   Project presentations
Project abstracts: CA-Projects.pdf