FI:MB008 Algebra I - Course Information
MB008 Algebra I
Faculty of InformaticsAutumn 2010
- Extent and Intensity
- 2/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Libor Polák, CSc. (lecturer)
doc. Mgr. Michal Kunc, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Libor Polák, CSc.
Faculty of Informatics - Timetable
- Tue 14:00–15:50 A107
- Prerequisites
- MB005 Foundations of mathematics || MB101 Mathematics I
Prerequisites: MB005 Foundations of mathematics. - 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
- there are 9 fields of study the course is directly associated with, display
- Course objectives
- We introduce here the basic algebraic structures: monoids, groups, rings, fields and we study their properties. We pay attention to calculations with polynomials.
- Syllabus
- Groups (permutation groups, Cayley's theorems, subgroups and normal subgroups, quotient groups, 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
- Teaching methods
- Once a week a standard lecture with a stress on motivation and examples.
- Assessment methods
- A written exam has tree parts: a completion of a text concerning (on advance) given theoretical issues, a calculation of a transformation monoid, and 3 tests problems where the students show the understanding the basics.
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Teacher's information
- http://www.math.muni.cz/~polak/algebra-I.html
- Enrolment Statistics (Autumn 2010, recent)
- Permalink: https://is.muni.cz/course/fi/autumn2010/MB008