FI:MB008 Algebra I - Course Information
MB008 Algebra I
Faculty of InformaticsAutumn 2002
- 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)
doc. RNDr. Libor Polák, CSc. (lecturer) - Guaranteed by
- prof. RNDr. Radan Kučera, DSc.
Faculty of Informatics
Contact Person: prof. RNDr. Radan Kučera, DSc. - Timetable
- Tue 14:00–15:50 U4-501, Tue 14:00–15:50 D1
- Prerequisites
- ! M008 Algebra I &&! M508 Algebra I &&( M005 Foundations of mathematics || MB005 Foundations of mathematics )&&( M003 Linear Algebra and Geometry I || M503 Linear Algebra and Geometry 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
- Informatics (programme FI, B-IN)
- Informatics (programme FI, M-IN)
- Upper Secondary School Teacher Training in Informatics (programme FI, M-IN)
- Upper Secondary School Teacher Training in Informatics (programme FI, M-SS)
- Course objectives (in Czech)
- V kurzu jsou zavedeny základní algebraické kategorie, jako grupa, okruh, těleso a jsou studovány jejich vlastnosti.
- 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)
- Standardni prednaska s pisemnou zkouskou ve zkouskovem obdobi
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
- Teacher's information
- http://www.math.muni.cz/~polak/algebra-I.html
- Enrolment Statistics (Autumn 2002, recent)
- Permalink: https://is.muni.cz/course/fi/autumn2002/MB008