Oct 18, 2019   6:02 a.m. Lukáš

# Course syllabus B-MAT1 - Mathematics 1 (FEEIT - WS 2018/2019)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Electrical Engineering and Information Technology
Course unit code: B-MAT1
Course unit title: Mathematics 1
Mode of delivery, planned learning activities and teaching methods:
 lecture 4 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 6

Recommended semester/trimester: Electronics - bachelor (compulsory), 1. semester
Robotics and Cybernetics - bachelor (compulsory), 1. semester
Telecommunications - bachelor (compulsory), 1. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
During the semester rhere will be the credit test (40 points). To accomplish credit a student must
obtain at least 20 of 40 points from credit tests. Additional 60 points can be obtained on the final exam. For final grade A at least 92, for B 83

Learning outcomes of the course unit:
Student will gain basic knowledege and skill in linear algebra (complex numbers, matrices, systems
of linear equations, determinants). He will get knowledge in the elements of elementary functions,
he will be able to solve some basic limits. He will learn the basics of differential calculus:
he will be able to count the derivatives of functions and apply them to some basic problems of
mathematical analysis (local extremes, convexity etc.) Finally, he will get knowledge in solution
of various problems about infinite series.

Course contents:
Course contents

1. Linear algebra
a) real and complex numbers
b) matrices, elimination methods of solving of the systems of linear equations
c) determinants
d) sum and product of matrices, inverse matrix

2. Real functions
a) Definitions of a function, even and odd function, bounded function. Elementary functions.
b) limit and continuity of functions
c) differentiable functions, computing of derivatives

3. Using derivatives to investigate functions
a) asymptotes of the graph of a function
b) the Rolle and Lagrange theorem, monotone functions, local extremes
c) convex and concave functions

4. Sequences and series
a) convergent and divergent series, absolutely convergent series, geometric series
b) Cauchy, D'Alembert and Leibniz criteria of convergence
c) power series, the Taylor theorem and Taylor series

Recommended or required reading:
Basic:
 GALANOVÁ, J. Lineárna algebra . Bratislava: STU Bratislava, 2002. SABOLOVÁ, M. -- SATKO, L. Matematická analýza 1. Bratislava : STU v Bratislave, 2005. 61 p. ISBN 80-227-2269-3. MARKO, Ľ. Matematická analýza online.  [online]. 2003. URL: http://aladin.elf.stuba.sk/~marko. STROUD, K. Engineering Mathematics. Hong Kong: Macmillan Presss LTD, 1993. ŠULKA, R. -- MORAVSKÝ, L. -- SATKO, L. Matematická analýza 1. Bratislava : Alfa, 1986. 389 p.

Language of instruction: -- item not defined --

Notes:

Courses evaluation:
Assessed students in total: 568

ABCDEFX
1,4 %3,3 %6,5 %12,9 %32,2 %43,7 %
Name of lecturer(s): Mgr. Jozef Kollár, PhD. (examiner, instructor) - slovak
doc. Mgr. Marcel Polakovič, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak

Last modification: 17. 5. 2018
Supervisor: doc. Mgr. Marcel Polakovič, PhD. and programme supervisor

Last modification made by Bc. Petr Kolářík on 05/17/2018.

 Type of output: PDF output (PDF)Document RTF (RTF)XML format for IS (XML IL)