19. 1. 2020  17:35 Drahomíra, Mário, Sára
Akademický informační systém

Sylabus předmětu 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 code: MAT106_6B
Course unit title: Mathematics I
Mode of delivery, planned learning activities and teaching methods:
lecture3 hours weekly / 39 hours per semester of study (on-site method)
39 hours per semester of study (combined method)
seminar3 hours weekly / 39 hours per semester of study (on-site method)
39 hours per semester of study (combined method)

Credits allocated: 8
Recommended semester/trimester: -- item not defined --
Level of study: 1.
Prerequisites for registration: none
Assesment methods:
During the semester the student demonstrates the ability to apply knowledge by solution test's tasks and by developing computational tasks ,generally using mathematical software - max. 20 points. Final test is done by didactic test - max. 80 points. Assessment A must be obtained at least 92 points, B at least 83 points , C at least 74 points, D at least 65 points , E at least 56 points. Credits will not be awarded to a student who obtained 55 points or less.
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.
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.

Recommended or required reading:
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.

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

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 9046

2,2 %3,6 %10,2 %18,9 %46,2 %18,9 %
Name of lecturer(s): Mgr. Zuzana Červeňanská (instructor)
PaedDr. Janette Kotianová, PhD. (instructor)
Mgr. Vladimír Liška, 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
Last modification: 15. 8. 2019
Supervisor: doc. RNDr. Mária Mišútová, PhD. and programme supervisor

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

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