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.  
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,

Lecture notes:  0title.pdf 
1whatisca.pdf  
21GroebnerIntro.pdf  
22GroebnerRob.pdf  
23GroebnerTheory.pdf  
24GroebnerApplication.pdf  
3gcd.pdf  
4res.pdf  
5factorize.pdf  
6appendix.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:  CAProjects.pdf 