Wintersemester 2013/2014
Prof. Franz Winkler
Dr. Günter Landsmann
Computeralgebra (326.010/326.031)
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,  
SpringerVerlag Wien New York, 1996  
(ISBN 3211827595)  
Lecture notes:  0title.pdf 
1whatisca.pdf  
21GroebnerIntro.pdf  
22GroebnerRob.pdf  
23GroebnerTheory.pdf  
24GroebnerApplication.pdf  
3gcd.pdf  
4res.pdf  
5factorize.pdf  
6appendix.pdf 
Klausur am Di 28.1.2014, 15:3018:00, in HS 15
ohne Unterlagen / no books.
Klausurbeispiele:  klausurca.pdf  
Klausurbewertung:  punktenoten.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:  CAProjects.pdf 