24. 1. 2020  5:49 Timotej

# Sylabus předmětu 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 code: B1-ODR
Course unit title: Ordinary differential equations
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 5

Recommended semester/trimester: Mathematical and Computational Modeling - bachelor (compulsory), 3. semester
Level of study: 1.
Prerequisites for registration: passed Mathematical analysis 1 (B1-MA1) and passed Linear algebra 1 (B1-LA1) and passed Linear algebra 2 (B1-LA2)

Assesment methods:
Successfully passed two tests during semester.
56 points on exam achieved.

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.

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.

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.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 38

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18,4 %21,1 %18,4 %23,7 %15,8 %2,6 %
Name of lecturer(s): 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)

Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Karol Mikula, DrSc. and programme supervisor

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

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