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Sylabus predmetu B-MA1 - Mathematical analysis 1 (FCE - WS 2015/2016)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit title: Mathematical analysis 1
Course unit code: B-MA1
Mode of completion and Number of ECTS credits: Exam (7 credits)
Name of lecturer: doc. RNDr. Angela Handlovičová, PhD. (lecturer, person responsible for course) - slovak
Mgr. Peter Struk, PhD. (examiner, instructor, lecturer) - slovak
prof. RNDr. Jozef Širáň, DrSc. (examiner, instructor, lecturer) - slovak
Learning outcomes of the course unit:
On completion of the course students will understand foundations of differential and integral calculus of single-variable functions and will have insight into sequences, number series, power series, Fourier series and orthogonal systems of functions.
Prerequisites and co-requisites: none
Course contents:
Propeties of single-variable real functions.
Single-variable calculus.
Applications of calculus to graphing.
Definite integral of a single-variable function.
Antiderivatives, rules for antiderivatives, relationship with definite integral.
Sequences, number series, and function series.
Power series and Fourier series.
Orthogonal systems of functions.
Recommended or required reading:
GEORG, T. -- FINNEY, R. Calculus. New York: Addison-Wesley Publishin Company, 1994. 1004 p. ISBN 0-201-54977-8.
ELIÁŠ, J. -- KAJAN, J. -- HORVÁTH, J. Zbierka úloh z vyššej matematiky 2. Bratislava: ALFA Bratislava, 1966. 318 p.
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.
BLATTER, C. Analysis 1. Berlin : Springer Verlag, 1977. 204 p.
BLATTER, C. Analysis 2. Berlin : Springer Verlag, 1974. 180 p.
BRABEC, J. -- MARTAN, F. -- ROZENSKÝ, Z. Matematická analýza 1. Praha : SNTL, 1985. 482 p.
DAVIS, L. Technical mathematics with calculus. New York : Macmillan Publishing Company, 1990. 935 p. ISBN 0-02-946022-0.
ŠULKA, R. -- MORAVSKÝ, L. -- SATKO, L. Matematická analýza 1. Bratislava : Alfa, 1986. 389 p.
Kálnová, Handlovičová, Mišík, Širáň: Riešené úlohy z matematiky II. Skriptum STU, 2000. Bratislava: vydavateľstvo STU Bratislava, 2000. 186 p. ISBN 80-227-1344-9.
IVAN, J. Matematika I. Bratislava: ALFA, 1983. 704 p.
IVAN, J. Matematika 2. Bratislava : Alfa, 1989. 631 p. ISBN 80-05-00114-2.

Planned learning activities and teaching methods: lectures, exercise
Assesment methods and criteria: final examination
Language of instruction: Slovak, English
Work placement(s): There is no compulsory work placement in the course unit.

Last modification made by Ing. Andrea Bujdáková on 06/09/2017.

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