RISC JKU

Computer Algebra
(VL: 326.105 & UE: 326.031)
Winter semester 2020/2021
Prof. Dr. Franz Winkler
Johann Mitteramskogler, MSc

 

Syllabus.pdf

Time and location:   Lecture (VL): Tue 16:30 – 18:00, HS 17
  Exercise (UE): Tue 15:30 – 16:15, HS 17

First meeting: 6 October (lecture), 13 October (exercise)

Lecture: 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 with 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).

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

Exercise: The exercise part consists of homework exercises and a project (Exercise Mode.pdf).

Final exam (Klausur): Thursday, 25 March 2021, 17:30 – 19:00, HS 16
no books / ohne Unterlagen
Exam Grades.pdf

Lecture notes:

0 - Title.pdf
1 - What Is CA.pdf
2 - GCD.pdf
3 - Resultants.pdf
4.1 - Introduction GB.pdf
4.2 - Theory GB.pdf
4.3 - Applications GB.pdf
4.4 - Robotics.pdf
5 - Factorization.pdf
6 - Appendix.pdf

Exercise sheets:

Exercise 1.pdf
Exercise 2.pdf
Exercise 3.pdf
Exercise 4.pdf
Exercise 5.pdf
Exercise 6.pdf
Exercise 7.pdf
Exercise 8.pdf
Exercise 9.pdf

Exercise project:

Project Organization.pdf
Projects.pdf
Groups.pdf

Video recordings (Lecture WS2019/2020):

Lecture 06-10-2020.mp4
Lecture 13-10-2020.mp4
Lecture 20-10-2020.mp4
Lecture 27-10-2020.mp4
Lecture 03-11-2020.mp4
Lecture 10-11-2020.mp4
Lecture 17-11-2020.mp4
Lecture 24-11-2020.mp4
Lecture 01-12-2020.mp4
Lecture 15-12-2020.mp4
Lecture 12-01-2021.mp4
Lecture 19-01-2021.mp4
Lecture 19-01-2021-b.mp4
Lecture 19-01-2021-c.mp4

Website: www.risc.jku.at/education/courses/ws2020/ca