Oct 19, 2019   6:20 a.m. Kristián
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Course syllabus B1-MAT3_G - Mathematics 3 (FCE - WS 2019/2020)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-MAT3_G
Course unit title: Mathematics 3
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly / 2 hours per semester of study (on-site method)
seminar2 hours weekly / 2 hours per semester of study (on-site method)

 
Credits allocated: 4
 
Recommended semester/trimester: Geodesy and Cartography - bachelor (compulsory), 3. semester
Level of study: -- item not defined --
Prerequisites for registration: none
 
Assesment methods:
ongoing tests make up 20% of grade assessment
 
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
 
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.

 
Language of instruction: -- item not defined --
 
Notes:
 
Courses evaluation:
Assessed students in total: 110

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10,0 %5,5 %8,2 %23,6 %49,1 %3,6 %
Name of lecturer(s): doc. RNDr. Jana Kalická, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english
 
Last modification: 28. 2. 2019
Supervisor: doc. RNDr. Jana Kalická, PhD. and programme supervisor


Last modification made by Ing. Peter Korčák on 02/28/2019.

Type of output: