Oct 14, 2019   3:27 a.m. Boris

# Course syllabus B-MAT1E - Mathematics 1 (FEEIT - SS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Electrical Engineering and Information Technology
Course unit title: Mathematics 1
Course unit code: B-MAT1E
Mode of completion and Number of ECTS credits: Exam (6 credits)

Name of lecturer: doc. RNDr. Michal Zajac, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english

Learning outcomes of the course unit:
Students will learn fundamentals of linear algebra and mathematical analysis. They will be able to solve systems of linear equations using elimination methods and to use differential calculus to investigatte the properties of real functions of one real variable. Solving particular mathematical problems the student will learn some fundamental techniques using in calculus and linear algebra. They will be able to use those knowledge in physics and engineering.

Prerequisites and co-requisites: none

Course contents:
1. reálne a komplexné čísla
2. elimination methods of solving system of linear equations
3. determinants, sum and product of matrices, inverse matrix
4. polynomials and rational functions
5. definítion of a function, boundedness. odd and even functions, periodic functions
6. limit of a function and sequence
7. derivative of a function and its computing
8. the Rolle, Lagrange Theorem, monotonicity of functions, local extremes
9. convex a concave functions, asymptotes
10.Sequencešs and series, convergent and divergent series
11.Geometric series, power series
12.Taylor theorem and Taylor series

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.

Planned learning activities and teaching methods: lectures / numerical instruction

Assesment methods and criteria: assignments and tests - 40%, final examination 60%

Language of instruction: Slovak, English

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

Last modification made by RNDr. Marian Puškár on 05/06/2019.

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