Jun 17, 2019   10:50 a.m. Adolf
Academic information system

Course syllabus I1-MAT4 - Mathematics 4 (FCE - WS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: I1-MAT4
Course unit title: Mathematics 4
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly (on-site method)
laboratory/construction practice2 hours weekly (on-site method)

Credits allocated: 5
Recommended semester/trimester: Geodesy and Cartography - master (compulsory), 1. semester
Level of study: 2.
Prerequisites for registration: none
Assesment methods:
2 passed tests during the semester,
attaining of at least 56% from exam
Learning outcomes of the course unit:
Introduction into the theory of ordinary and partial differential equations and
some important applications in engineering and technique create the main goal
of this lectures.
Basic numerical methods for solving initial and boundary value problems
for differential equations are also included.
Course contents:
- Numerical integration, numerical quadrature rules.
- Ordinary differential equations, initial and boundary value problems. Euler
method, finite difference method.
- Partial differential equations, their classification. Finite difference method
for solving elliptic and parabolic problems.
- Finite volume method, and boundary element method and their application for
solving geodetic boundary value problem.
- Finite element method and its application for solving certain geodetic
- Direct and iterative methods for solving linear algebraic systems of equations.
Recommended or required reading:
HANDLOVIČOVÁ, A. -- ŠIRÁŇ, J. -- MIŠŠÍK, L. -- SCHNEIDER, Z. Riešené úlohy z matematiky I, STU, Bratislava, 1998. Bratislava: Vydavateľstvo STU, 1998. ISBN 80-227-1024-5.
HANDLOVIČOVÁ, A. Riešené úlohy z matematiky II.  [online]. 2000. URL: http://www.math.sk/skripta2/index.html.
HANDLOVIČOVÁ, A. -- SCHIESSLOVÁ, H. Diferenčné metódy riešenia inžinierskych úloh. Bratislava : STU v Bratislave, 2007. 98 p. ISBN 978-80-227-2731-0.
JANÁK, J. -- MIKULA, K. -- ČUNDERLÍK, R. Fyzikálna geodézia II: Okrajové úlohy v geodézii. Bratislava : STU v Bratislave, 2006. 153 p. ISBN 80-227-2450-5.

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 115

12,2 %12,2 %36,5 %20,9 %16,5 %1,7 %
Name of lecturer(s): Ing. Marek Macák, PhD. (examiner, instructor, lecturer)
prof. RNDr. Radko Mesiar, DrSc. (person responsible for course) - slovak
Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Radko Mesiar, DrSc. and programme supervisor

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

Type of output: