Course syllabus BV1-ALST - Algebraic structures (FCE - SS 2019/2020)

Information sheet ECTS Syllabus

Slovak English

University:

Slovak University of Technology in Bratislava

Faculty:

Faculty of Civil Engineering

Course unit code:

BV1-ALST

Course unit title:

Algebraic structures

Mode of delivery, planned learning activities and teaching methods:

lecture	1 hour weekly (on-site method)

seminar	1 hour weekly (on-site method)

Credits allocated:

Recommended semester/trimester:

-- item not defined --

Level of study:

Prerequisites for registration:

none

Assesment methods:

Final written exam, passmark 56%

Learning outcomes of the course unit:

Students will learn basic facts about algebraic structures, with emphasis on semigroups, groups, fields, partially ordered sets and lattices. They will be able to apply their knowledge to working with algebraic structures that appear in geometry, representations of data structures, and in other areas.

Course contents:

• Basic concepts: Binary operations and their properties, semigroups and groups.
• Cyclic, abelian, dihedral, permutation and matrix groups.
• Finite fields and their applications in cryptography and coding.
• Partially ordered sets and lattices.
• Applications of partially ordered sets in representations of data structures.

Recommended or required reading:

Basic:

KVASNIČKA, V. -- POSPÍCHAL, J. Algebra a diskrétna matematika. Bratislava : STU v Bratislave, 2008. 493 p. ISBN 978-80-227-2934-5.

Language of instruction:

slovak or english

Notes:

Courses evaluation:

Assessed students in total: 1

A	B	C	D	E	FX
100,0 %	0 %	0 %	0 %	0 %	0 %

Name of lecturer(s):

doc. Mgr. Gejza Jenča, PhD. (tutor) - slovak
doc. RNDr. Jana Šiagiová, PhD. (examiner, instructor, lecturer, tutor) - slovak
prof. RNDr. Jozef Širáň, DrSc. (person responsible for course)

Last modification:

16. 4. 2019

Supervisor:

prof. RNDr. Jozef Širáň, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 04/16/2019.