29. 3. 2020  3:29 Miroslav
Akademický informační systém

Sylabus předmětu B1-MA2 - Mathematical analysis 2 (FCE - SS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-MA2
Course unit title: Mathematical analysis 2
Mode of delivery, planned learning activities and teaching methods:
lecture3 hours weekly (on-site method)
seminar4 hours weekly (on-site method)

Credits allocated: 7
Recommended semester/trimester: Mathematical and Computational Modeling - bachelor (compulsory), 2. semester
Level of study: 1.
Prerequisites for registration: none
Assesment methods:
Semestral tests (50%), final written exam (30%), final oral exam (20%), passmark 56%
Learning outcomes of the course unit:
Students will learn the basics of Fourier and orthogonal series, and multivariate and vector calculus, including line surface integrals. They will be able to analyse multivariate functions and apply vector calculus to real world problems.
Course contents:
• Fourier series and orthogonal series.
• Multivariate calculus.
• Local and constrained extrema.
• Line and surface integrals.
• Theorems of Green, Gauss - Ostrogradsky and Stokes.
Recommended or required reading:
BOCK, I. -- HORNIAČEK, J. Matematická analýza 3. Bratislava : Alfa, 1990. 344 p. ISBN 80-05-00433-8.
BOCK, I. -- RUDOLF, B. Krivkové a plošné integrály: (pre predmet Matematická analýza 3). Bratislava : STU v Bratislave, 2001. 69 p. ISBN 80-227-1560-3.
BRABEC, J. -- HRŮZA, B. Matematická analýza II. Praha : SNTL, 1986. 579 p.
MORAVSKÝ, L. -- MORAVČÍK, J. -- ŠULKA, R. Matematická analýza 2. Bratislava : Alfa, 1992. 552 p. ISBN 80-05-00934-8.
WEBB, J. Functions of several real variables. New York : Ellis Horwood, 1991. 289 p. ISBN 0-13-763434-X.

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 47

23,4 %10,6 %25,5 %25,5 %15,0 %0 %
Name of lecturer(s): prof. RNDr. Jozef Širáň, DrSc. (examiner, lecturer, person responsible for course) - slovak, english
Ing. Mgr. Lukáš Tomek, PhD. (examiner, instructor)
Last modification: 16. 4. 2019
Supervisor: prof. RNDr. Jozef Širáň, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 04/16/2019.

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