19. 1. 2020  20:01 Drahomíra, Mário, Sára

# Sylabus predmetu MAT106_6B - Mathematics I (MTF - WS 2020/2021)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Materials Science and Technology in Trnava
Course unit title: Mathematics I
Course unit code: MAT106_6B
Mode of completion and Number of ECTS credits: Exam (8 credits)

Name of lecturer: Mgr. Zuzana Červeňanská (instructor)
PaedDr. Janette Kotianová, PhD. (instructor)
RNDr. Iveta Markechová, CSc. (examiner, instructor, lecturer)
RNDr. Renáta Masárová, PhD. (examiner, instructor, lecturer)
doc. RNDr. Mária Mišútová, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak
doc. RNDr. Oleg Palumbíny, CSc. (examiner, instructor) - slovak
Mgr. Hana Stúpalová, PhD. (examiner, instructor)
doc. Mgr. Róbert Vrábeľ, PhD. (examiner, instructor, lecturer) - slovak

Learning outcomes of the course unit:
The syllabus for mathematics courses is essentially a sound conceptual understanding of algebra,geometry, functions and calculus together with the confidence to apply the skills in engineering applications.

Prerequisites and co-requisites: none

Course contents:
1. Polynomials.Algebraic equations.Complex numbers.
2. Matrices. Determinants. Set of linear equations.Vectors, scalar and vector product of two vectors, aplications.
3. Linear shapes in E3.
4. Coordinate systems.Functions.
5. Sequences and limits.
6. Functions and limits.
7. Rules for differentiation.
8. Second derivatives, further rules for differentiation L'Hosptal's rule.
9. Applications of differentiation - curve sketching, maxima and minima,stationary points, points of inflexion.
10. Indefinite integrals, by substitution, by per partes.
11. Indefinite integrals by partial fractions. Trigonometric integrals.
12. Definite integrals.Applications.
13. Technical courves and surfaces.

Basic:
 MIŠÚTOVÁ, M. -- ČERVEŇANSKÁ, Z. -- ČIPKOVÁ HAMPLOVÁ, L. -- MARKECHOVÁ, I. Matematika I. Vybrané časti lineárnej algebry a ich aplikácie. Trnava : AlumniPress, 2012. 131 p. ISBN 978-80-8096-162-6. MIŠÚTOVÁ, M. -- KOTIANOVÁ, J. -- KREMŽÁROVÁ, L. -- STÚPALOVÁ, H. Matematika I. Vybrané časti matematickej analýzy a ich aplikácie. Trnava : AlumniPress, 2012. 168 p. ISBN 978-80-8096-163-3. MIŠÚTOVÁ, M. -- MARKECHOVÁ, I. -- STÚPALOVÁ, H. -- ČERVEŇANSKÁ, Z. -- HAMPLOVÁ, L. -- KOTIANOVÁ, J. -- KREMŽÁROVÁ, L. Matematika I s podporou programov WinPlot a Maxima. Trnava : AlumniPress, 2009. 173 p. ISBN 978-80-8096-090-2. ABAS, M. -- TÓTHOVÁ, M. -- VACULÍKOVÁ, Ľ. -- VRÁBEĽ, R. Matematika I: Zbierka príkladov. Trnava : AlumniPress, 2008. 263 p. ISBN 978-80-8096-072-8. MIŠÚTOVÁ, M. -- STÚPALOVÁ, H. -- MARKECHOVÁ, I. -- HAMPLOVÁ, L. -- ČERVEŇANSKÁ, Z. Analytická geometria v príkladoch.  [online]. 2007. URL: https://sweb.mtf.stuba.sk. HALABRÍN, M. -- TÓTHOVÁ, M. -- URBANÍKOVÁ, M. -- TRUBENOVÁ, J. -- ČERVEŇANSKÝ, J. -- MASÁROVÁ, R. -- DILLINGEROVÁ, M. -- PALUMBÍNY, O. -- VRÁBEĽ, R. Matematika I. Bratislava : STU v Bratislave, 2000. 274 p. ISBN 80-227-1348-1. WAINWRIGH, P. -- BERRY, J. Foundation Mathematics for Engineers. , J. - T, P. London: MACMILLAN EDUCATION LTD, 1991. 557 p.

Recommended:
 ELIAŠ, J. – HORVATH, J. – KAJAN, J.: Zbierka úloh z vyššej matematiky 2. Bratislava: STU, 1995. IVAN,J. Matematika I. Bratislava:ALFA, 1986. 704 s.

Planned learning activities and teaching methods: lecture, seminar

Assesment methods and criteria: examination

Language of instruction: Slovak

Work placement(s): There is no compulsory work placement in the course unit.

Last modification made by Ing. Erika Kuracinová on 08/15/2019.

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