Mar 28, 2020   4:16 p.m. Soňa
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Course syllabus 280701_DDP - Special Diferrential Equations (FME - 2019/2020 - post-graduate studies)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Mechanical Engineering
Course unit code: 280701_DDP
Course unit title: Special Diferrential Equations
Mode of delivery, planned learning activities and teaching methods:
lecture5 hours weekly / 5 hours per semester of study (on-site method)

 
Credits allocated: 8
 
Recommended semester/trimester: Process Technique - doctoral (semi-compulsory), 1. year
Process Technique - doctoral (semi-compulsory), 1. year
Level of study: 3.
Prerequisites for registration: none
 
Assesment methods:
The completion of study and evaluation of the knowledge level are expressed as a percentage range: 56 – 100 % of knowledge – P (passed), 0 – 55 % of knowled - N (failed)
 
Learning outcomes of the course unit:
Student obtains advanced knowledge from the topic of ordinary and partial differential equations and selected numerical methods from the point of view of its utilization for solution of practical engineering tasks. He/she gets basic information on analytic methods for solution of selected differential equations and systems of partial differential equations and learns about available numerical methods. He/she will strengthen ability to apply differential diagnostics to the problem - he/she is able to analyze problem from the numerical standpoint, to choose a suitable numerical method for its solution and to implement this method to solve particular engineering problems.
 
Course contents:
YSelected types of ordinary differential equations.
Classification of partial differential equations (PDR) and their connections to physical problems. Numerical and approximative solution methods.
Method of finite differences, variational methods and finite elements method.
Basic concepts, domain of influence and dependencies for different types of equations, characteristics.
Basic principles of solutions for convection, diffusion and dispersion, exact solutions.
 
Recommended or required reading:
Basic:
HOFFMAN, J D. Numerical methods for engineers and scientists. New York : McGraw-Hill, 1993. 825 p. ISBN 0-07-112962-6.
MATHEWS, J H. Numerical Methods for Mathematics, Science, and Engineering. Englewood Cliffs : Prentice Hall, 1992. 646 p.
RALSTON, A. Základy numerické matematiky. Praha : Academia, 1978. 635 p.

 
Language of instruction: slovak or english
 
Notes:
 
Courses evaluation:
Assessed students in total: 1

PN
100,0 %0 %
Name of lecturer(s): Mgr. Monika Kováčová, PhD. (examiner, lecturer) - slovak, english
doc. RNDr. Daniela Velichová, CSc. (examiner, lecturer, person responsible for course) - slovak, english
 
Last modification: 25. 6. 2019
Supervisor: doc. RNDr. Daniela Velichová, CSc. and programme supervisor


Last modification made by Ing. Marianna Frajková on 06/25/2019.

Type of output: