M008 Algebra I
Faculty of InformaticsAutumn 1995
- Extent and Intensity
- 0/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
- Teacher(s)
- doc. RNDr. Libor Polák, CSc. (lecturer)
- Guaranteed by
- Contact Person: doc. RNDr. Libor Polák, CSc.
- Prerequisites
- Prerequisites: M005 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
- 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)
- Information Technology (programme FI, B-IN)
- 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).
- Introduction to universal algebra (terms and trees, free monoids and (prefix) codes, congruences and the syntactical monoid).
- Language of instruction
- Czech
- Teacher's information
- http://www.math.muni.cz/~polak
- Enrolment Statistics (Autumn 1995, recent)
- Permalink: https://is.muni.cz/course/fi/autumn1995/M008