Jun 26, 2019   9:50 a.m. Adriána

# Course syllabus B1-MAT3_G - Mathematics 3 (FCE - WS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

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:
 lecture 2 hours weekly / 2 hours per semester of study (on-site method) seminar 2 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

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: 97

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11,3 %6,2 %8,2 %24,7 %45,4 %4,2 %
Name of lecturer(s): doc. RNDr. Jana Kalická, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english
RNDr. Ing. Matúš Tibenský, PhD. (instructor)

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.

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