RISC JKU

Computer Algebra
(VL: 326.105 & UE: 326.031)
Winter semester 2021/2022
Prof. Dr. Franz Winkler
Johann Mitteramskogler, MSc

 

Syllabus.pdf

Time and location:   Lecture (VL): Tue 16:30 – 18:00, T 405
  Exercise (UE): Tue 15:30 – 16:15, T 405

First meeting: 5 October (lecture), 12 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).

Zoom login credentials (backup mode only):

Link: Join Zoom meeting
Meeting-ID: 998 5665 5086
Password: ca_ws2021

Final exam (Klausur): Friday, 18 March 2022, 17:15 – 19:45, HS 15.
no books / ohne Unterlagen
Registration required: If you want to participate, please send an e-mail to Prof. Franz Winkler.
Results: Grades.pdf (Exam Sheet.pdf)
Note: If you want to be examined in Computer Algebra you should get in contact with Prof. Franz Winkler.

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

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 project:

Projects.pdf
Groups.pdf

Video recordings (Lecture WS2019/2020):

Lecture 05-10-2021.mp4
Lecture 12-10-2021.mp4
Lecture 19-10-2021.mp4
Lecture 09-11-2021.mp4
Lecture 16-11-2021.mp4
Lecture 23-11-2021.mp4
Lecture 30-11-2021.mp4
Lecture 07-12-2021.mp4
Lecture 14-12-2021.mp4
Lecture 11-01-2022 (I).mp4
Lecture 11-01-2022 (II).mp4
Lecture 11-01-2022 (III).mp4
Lecture 18-01-2022 (I).mp4
Lecture 18-01-2022 (II).mp4

Website: www.risc.jku.at/education/courses/ws2021/ca