Jun 20, 2019   1:06 a.m. Valéria

Course syllabus BV1-MA2 - Mathematical analysis 2 (FCE - SS 2018/2019)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: BV1-MA2
Course unit title: Mathematical analysis 2
Mode of delivery, planned learning activities and teaching methods:
 lecture 3 hours weekly (on-site method) seminar 3 hours weekly (on-site method)

Credits allocated: 7

Recommended semester/trimester: -- item not defined --
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.

Basic:
 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

Notes:

Courses evaluation:
Assessed students in total: 0

Name of lecturer(s): doc. RNDr. Angela Handlovičová, PhD. (examiner, lecturer, tutor)
Mgr. Peter Struk, PhD. (instructor, tutor)
prof. RNDr. Jozef Širáň, DrSc. (examiner, lecturer, person responsible for course) - slovak, english

Last modification: 26. 2. 2018
Supervisor: prof. RNDr. Jozef Širáň, DrSc. and programme supervisor

Last modification made by Ing. Marián Dubík on 02/26/2018.

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