24. 1. 2020  5:49 Timotej
Akademický informačný systém

# Sylabus predmetu SMAT1_B - Mathematics 1 - Tutorial (FIIT - WS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Informatics and Information Technologies
Course unit code: SMAT1_B
Course unit title: Mathematics 1 - Tutorial
Mode of delivery, planned learning activities and teaching methods:
 workshop 3 hours weekly (on-site method)

Credits allocated: 4

Recommended semester/trimester: Informatics (conversion programme with a foundation year) - bachelor (compulsory), 1. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
During the term student can obtain 100 points, more precisely in ten tests each worth 10 points. The required minimum for each test is 4 points.
The grading scale is as follows:
A: <92,100>
B: <83,92)
C: <74,83)
D: <65,74)
E: <56,65)
FX: <0,56)
The credits will not obtain the student who has unexcused absence during the semester.

Learning outcomes of the course unit:
The aim of the seminar is to complement and deepen the knowledge of mathematics by solving interesting tasks and exercises, focusing on the application of arithmetics and algebra knowledge in the range of secondary school education.

Course contents:
1 Operations with sets
2 The principle of mathematical induction
3 Combination numbers and their properties, combination
4 Variations, permutations
5 Binomial theorem, Pascal's triangle
6 The roots of polynomials, multiplication and division of polynomials
7 Numbering systems and transfers between them
8 The least common multiple, the greatest common divisor
9 Arithmetic progression
10 Geometric progression
11 Infinite geometric series and their use
12 Systems of linear equations and inequalities

Recommended or required reading:
Basic:
 KVASNIČKA, V. -- POSPÍCHAL, J. Algebra a diskrétna matematika. Bratislava : STU v Bratislave, 2008. 493 p. ISBN 978-80-227-2934-5. BUŠEK, I. Řešené maturitní úlohy z matematiky. Praha : Prometheus, spol. s r.o., 1999. 631 p. ISBN 80-7196-140-X. POLÁK, J. Přehled středoškolské matematiky. Brno: Prometheus, 2000. 608 p. ISBN 80-85849-78-X. KYSELOVÁ, D. -- RICHTÁRIKOVÁ, S. Ukážkové testy z matematiky: príloha knihy Matematika. Nitra : Enigma, 2005. 55 p. ISBN 80-85471-61-2. MEDEK, V. -- ŠALÁT, T. -- MIŠÍK, L. Repetitórium stredoškolskej matematiky. Bratislava : Alfa, 1975. 655 p.

Recommended:
 Vošický, Z., Kubáčková, E. : Matematika, Vydavateľstvo Fragment, 2007. Wisztová, E. & kol. : Sprievodca stredoškolskou matematikou, Žilinská univerzita v Žiline, 1999. Zmaturuj z matematiky 2 . Zbierka riešených úloh, Vydavateľstvo: Didaktis, ISBN: 8073580519, 2006.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 927

ABCDEFX
13,7 %15,2 %14,8 %15,6 %15,2 %25,5 %
Name of lecturer(s): Mgr. Elena Malkin, PhD. (instructor) - slovak
Mgr. Alena Martonová, PhD. (person responsible for course) - slovak
Mgr. Juraj Poljovka (instructor) - slovak
Mgr. Marián Potočný (instructor) - slovak

Last modification: 13. 9. 2019
Supervisor: Mgr. Alena Martonová, PhD. and programme supervisor

Last modification made by RNDr. Marta Gnipová on 09/13/2019.

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