Jan 24, 2020   5:23 a.m. Timotej

# Course syllabus B1-MA1 - Mathematical analysis 1 (FCE - WS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-MA1
Course unit title: Mathematical analysis 1
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: Mathematical and Computational Modeling - bachelor (compulsory), 1. 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 basic facts from calculus of one variable and infinite series. They will be able to differentiate and integrate functions of one variable and analyse convergence of infinite series.

Course contents:
• Properties of functions of one real variable.
• Differential calculus of functions of one variable.
• Applications of differentation to the study of properties of graphs of functions.
• Integration of functions of one variable.
• Indefinite integral, methods of calculation and its relation to a definite integral.
• Infinite sequences and series, power series.

Basic:
 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. 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. ELIÁŠ, J. -- KAJAN, J. -- HORVÁTH, J. Zbierka úloh z vyššej matematiky 2. Bratislava: ALFA Bratislava, 1966. 318 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.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 75

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21,3 %2,7 %17,3 %22,7 %33,3 %2,7 %
Name of lecturer(s): doc. RNDr. Angela Handlovičová, PhD. (examiner, instructor, lecturer, tutor) - slovak, english
Mgr. Peter Struk, PhD. (instructor, tutor) - slovak, english
prof. RNDr. Jozef Širáň, DrSc. (examiner, lecturer, person responsible for course) - slovak, english

Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Jozef Širáň, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 02/28/2019.

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