Oct 1, 2020   2:29 a.m. Arnold

# Course syllabus I-MAT - Mathematics (FEEIT - WS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty:
Course unit code: I-MAT
Course unit title:
Mathematics
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated:
6

Recommended semester/trimester:
Nuclear and Physical Engineering - master (compulsory), 1. semester
Level of study:
2.
Prerequisites for registration: none

Assesment methods:
Two 20 points tests during the semester. For credit is needed at least 20 points. Exam 60 points.

Learning outcomes of the course unit:
To profound the knowledge about parts of mathematics regularly used in applications in engineering disciplines, mainly in energetics, mechanics, thermomechanics, nuclear physics and technical design. To show the creation of mathematical models in natural and technical sciences. The partial differential equations serve as the main mathematical tool to it. In order to gain the skill of solving partial differential it is for students inevitable to master the technique of applying classical and generalized Forier series and Fourier transform. After finishing the study of the subject the students manage to choose the suitable type of the equation as the mathematical model, the method of solving it and find a solution.

Course contents:
Function spaces, Fourier series. Boundary value problems for 2-nd order ordinary differential equations. Orthogonal systems of eigenfunctions. The classification of 2-nd order partial differential equations. Partial differential equations as mathematical models in natural sciences and technics. Formulations of boundary value problems, initial and initialboundary
value problems for basic classes of equations. Solving of previous problems using Fourier and orthogonal series and Fourier transform.

Recommended or required reading:
Basic:
 LIKEŠ, J. -- MACHEK, J. Matematická statistika. Praha : SNTL, 1988. 178 p. VOLAUF, P. Matematická štatistika: Zbierka príkladov. Bratislava : STU v Bratislave, 2001. 166 p. ISBN 80-227-1523-9. VOLAUF, P. Pravdepodobnosť a matematická štatistika. Bratislava : Nakladateľstvo STU, 2014. 195 p. ISBN 978-80-227-4144-6. NÁNÁSIOVÁ, O. -- KOHNOVÁ, S. Štatistika a pravdepodobnosť: Základy matematickej štatistiky a teórie pravdepodobnosti. Bratislava: Vydavateľstvo STU, 2016. 199 p. ISBN 978-80-227-4527-7. ANDĚL, J. Základy matematické statistiky. Praha : Matfyzpress, 2011. 358 p. ISBN 978-80-7378-162-0.

Language of instruction:
slovak or english

Notes:

Courses evaluation:
Assessed students in total: 96

ABC
D
E
FX
26,0 %
12,5 %17,7 %24,0 %
18,8 %
1,0 %
Name of lecturer(s):
doc. RNDr. Ľubomír Marko, PhD. (person responsible for course) - slovak, english
doc. RNDr. Boris Rudolf, PhD. (examiner, instructor, lecturer) - slovak, english

Last modification:
14. 5. 2019
Supervisor:
doc. RNDr. Ľubomír Marko, PhD. and programme supervisor

Last modification made by RNDr. Marian Puškár on 05/14/2019.

 Type of output: PDF output (PDF)Document RTF (RTF)XML format for IS (XML IL)