Jan 25, 2020   12:12 p.m. Gejza
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Course syllabus B1-ODR - Ordinary differential equations (FCE - WS 2019/2020)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit title: Ordinary differential equations
Course unit code: B1-ODR
Mode of completion and Number of ECTS credits: Exam (5 credits)
 
Name of lecturer: doc. RNDr. Angela Handlovičová, PhD. (examiner, instructor, lecturer) - slovak, english
prof. RNDr. Karol Mikula, DrSc. (person responsible for course)
doc. RNDr. Mária Minárová, PhD. (examiner, instructor, lecturer)
 
Learning outcomes of the course unit:
Student will understand the notion of ordinary differential equation (ODE) and system of ODEs and he will be familiar with methods of their solution and qualitative properties of solutions. He will be able to construct differential models for processes in nature and technology.
 
Prerequisites and co-requisites: passed Mathematical analysis 1 and passed Linear algebra 1 and passed Linear algebra 2
 
Course contents:
- First order ODEs.
- ODEs of n-th order.
- Qualitative properties of solution of some linear ODEs of second order.
- Boundary value problems for ODEs.
- Systems of ODEs of 1-st order.
- Qualitative properties of solutions of linear systems of two ODEs of 1-st order.
 
Recommended or required reading:
Basic:
BOCK, I. -- MARKO, Ľ. Diferenciálne rovnice. Bratislava : STU v Bratislave, 2001. 167 p. ISBN 80-227-1504-2.
BRABEC, J. -- HRŮZA, B. Matematická analýza II. Praha : SNTL, 1986. 579 p.
NAGY, J. Soustavy obyčejných diferenciálních rovnic. Praha : SNTL, 1980. 108 p.
MIKA, S. -- KUFNER, A. Okrajové úlohy pro obyčejné diferenciální rovnice. Praha : SNTL, 1981. 88 p.

 
Planned learning activities and teaching methods: lecture 2 hours weekly / 26 hours per semester of study (on-site method)
seminar 2 hour weekly / 26 hours per semester of study (on-site method)
 
Assesment methods and criteria: exam
 
Language of instruction: Slovak, English
 
Work placement(s): There is no compulsory work placement in the course unit.


Last modification made by Ing. Peter Korčák on 02/28/2019.

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