**Computer Algebra**

**(VL: 326.105 & UE: 326.031)**

**Winter semester 2020/2021**

**Prof. Dr. Franz Winkler**

**Johann Mitteramskogler, MSc**

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):**

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