M008 Algebra I

Faculty of Informatics
Autumn 2001
Extent and Intensity
2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
doc. Mgr. Ondřej Klíma, Ph.D. (lecturer)
prof. RNDr. Radan Kučera, DSc. (lecturer)
Guaranteed by
doc. RNDr. Jiří Kaďourek, CSc.
Departments – Faculty of Science
Contact Person: prof. RNDr. Radan Kučera, DSc.
Timetable of Seminar Groups
M008/P1: Mon 9:00–10:50 UKP
M008/P2: Tue 14:00–15:50 UKP
Prerequisites
M005 Foundations of mathematics && M003 Linear Algebra and Geometry I && (! M508 Algebra I )&&(!NOW( M508 Algebra I ))
Prerequisites: M005 Foundations of mathematics and M003 Linear Algebra and Geometry I.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Groups (permutation groups, Cayley's theorems, subgroups and normal subgroups, factorgroups, homomorphisms, products, classification of cyclic groups).
  • Polynomials over C, R, Q (multiplicity of zeros and the derivative, irreducible polynomials, Euklid's algorithm).
  • Rings (ideals, factor rings, fields, skewfields).
Literature
  • ROSICKÝ, J. Algebra, grupy a okruhy. 3rd ed. Brno: Masarykova univerzita, 2000, 140 pp. ISBN 80-210-2303-1. info
  • PROCHÁZKA, Ladislav. Algebra. 1. vyd. Praha: Academia, 1990, 560 s. info
Assessment methods (in Czech)
Během semestru se píše jeden test, který se do závěrečného hodnocení započítává 25%.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is also listed under the following terms Autumn 1995, Autumn 1996, Autumn 1997, Autumn 1998, Autumn 1999, Autumn 2000.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2001/M008