Jul 13, 2020   10:56 p.m. Margita
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Course syllabus B1-MAT3_G - Mathematics 3 (FCE - WS 2018/2019)


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University:
Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit title:
Mathematics 3
Course unit code: B1-MAT3_G
Mode of completion and Number of ECTS credits:
Exam (4 credits)
 
Name of lecturer:
doc. RNDr. Jana Kalická, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english
RNDr. Ing. Matúš Tibenský, PhD. (instructor)
 
Learning outcomes of the course unit:
To achieve basic knowledge related to the basic notions in ordinary differential equations (ODE), basic methods of their solutions, including systems of ODE, boundary value problems as well as number series, power series. Multiple integrals, polar coordinate transformation,cylindrical coordinate transformation
-Line integral of a scalar field and of a vector field, path independence, Green's theorem
-Surface integrals
 
Prerequisites and co-requisites:
none
 
Course contents:
- Concept of ordinary differential equations (ODE), qualitative analysis of solutions with one- dimensional phase space.
- Methods of solution of systems of ODE, properties of their solutions, stability.
- Boundary value ODE problems.
- Sequences, number series and function series.
- Power series.
- Multiple integrals, polar coordinate transformation,cylindrical coordinate transformation
-Line integral of a scalar field and of a vector field, path independence, Green's theorem
-Surface integrals
 
Recommended or required reading:
Basic:
Kálnová, Handlovičová, Mišík, Širáň: Riešené úlohy z matematiky II. Skriptum STU, 2000. Bratislava: vydavateľstvo STU Bratislava, 2000. 186 p. ISBN 80-227-1344-9.
MIKA, S. -- KUFNER, A. Okrajové úlohy pro obyčejné diferenciální rovnice. Praha : SNTL, 1981. 88 p.
IVAN, J. Matematika 2. Bratislava : Alfa, 1989. 631 p. ISBN 80-05-00114-2.

 
Planned learning activities and teaching methods:
lectures, exercise
 
Assesment methods and criteria:
written and oral examinations
 
Language of instruction:
Slovak, English
 
Work placement(s):
There is no compulsory work placement in the course unit.


Last modification made by Ing. Marián Dubík on 03/20/2018.

Type of output: