Mar 28, 2020   4:18 p.m. Soňa
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Course syllabus 282511_IDP - Algebraic Structures (FME - SS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Mechanical Engineering
Course unit code: 282511_IDP
Course unit title: Algebraic Structures
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly (on-site method)
20 hours per semester of study (combined method)

Credits allocated: 3
Recommended semester/trimester: Applied Mechanics and Mechatronics - master (optional), 2. semester
Automation and Informatics of Machines and Processes - master (optional), 2. semester
Automobiles and Mobile Production Machines - master (optional), 2. semester
Environmental Manufacturing Technologies - master (optional), 2. semester
Machines and Equipment for Chemical and Food Industries - master (optional), 2. semester
Manufacturing Systems and Quality Management - master (optional), 2. semester
Measurement and Testing - master (optional), 2. semester
Production Processes and Materials - master (optional), 2. semester
Thermal Power Engineering Machinery and Equipment - master (optional), 2. semester
Level of study: 2.
Prerequisites for registration: none
Assesment methods:
Written test during semester for 30 points, final written test for 70 points.
For assignments it is necessary to obtain 56 points at minimum.
Evaluation of classified assignments:
A - at least 90 points
B - at least 80 points
C - at least 70 points
D - at least 62 points
E - at least 56 points
Learning outcomes of the course unit:
Students obtain basic knowledge on linear algebraic structures (semi-groups, groups and fields) and their usage in applications. He/she understands definitions and propeeties of algebraic structures and some of their most frequently appearing models in scientific and technical applications (Lie groups, polynomial rings, vector spaces and fields). He/she knows concept of Minkowski point set operations and is able to apply Minkowski sum and product to solving selected problems.
Course contents:
Algebraic structures - general definitions and properties (semi-groups, groups, rings, fields a spaces)
Models of algebraic structures - Lie groups, polynomial fields, vector spaces and fields
Minkowski point set operations - Minkowski sum and Minkowski product of point sets, definitions, properties, applications
Recommended or required reading:
BARTEE, T. -- BIRKHOFF, G. Aplikovaná algebra. Bratislava: Alfa, 1981. 381 p.
BIRKHOFF, G. -- MACLANE, S. Prehľad modernej algebry. Bratislava : Alfa, 1979. 468 p.
DEMMEL, J. Applied Numerical Linear Algebra. Philadelphia, USA: SIAM, 1997. 419 p. ISBN 0-89871-389-7.
MEYER, C. Matrix Analysis and Applied Linear Algebra. Philadelphia: SIAM, 2000. 718 p. ISBN 0-89871-454-0.

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 1

100,0 %0 %0 %0 %0 %0 %
Name of lecturer(s): doc. RNDr. Daniela Velichová, CSc. (examiner, lecturer, person responsible for course) - slovak, english
Last modification: 13. 6. 2019
Supervisor: doc. RNDr. Daniela Velichová, CSc. and programme supervisor

Last modification made by Ing. Marianna Frajková on 06/13/2019.

Type of output: