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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 title: Mathematical analysis 2
Course unit code: B1-MA2
Mode of completion and Number of ECTS credits: Exam (7 credits)
Name of lecturer: prof. RNDr. Jozef Širáň, DrSc. (examiner, lecturer, person responsible for course) - slovak, english
Ing. Mgr. Lukáš Tomek, PhD. (examiner, instructor)
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.
Prerequisites and co-requisites: none
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.

Planned learning activities and teaching methods: Instruction type: Lectures and tutorials
Instruction volume: 3/3 - full time, 78 hours per semester
Assesment methods and criteria: exam
Language of instruction: Slovak, English
Work placement(s): There is no compulsory work placement in the course unit.

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

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