Oct 14, 2019   4:16 a.m. Boris
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Course syllabus N427D0_4B - Differential Equations (FCFT - WS 2019/2020)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Chemical and Food Technology
Course unit code: N427D0_4B
Course unit title: Differential Equations
Mode of delivery, planned learning activities and teaching methods:
lecture1 hour weekly (on-site method)
laboratory/construction practice1 hour weekly (on-site method)

 
Credits allocated: 2
 
Recommended semester/trimester: Chemistry, Medical Chemistry and Chemical Materials - bachelor (optional), 5. semester
Level of study: 1.
Prerequisites for registration: none
 
Assesment methods:
test
 
Learning outcomes of the course unit:
Acquire the theoretical foundations of differential equations, ordinary and partial differential equations and numerical solutions of differential equtions using computer.
 
Course contents:
Determinants, eigenvalues and engenvectors of matrices, Linear differential equations of the n-th order, basic properties of solutions of linear differential equations of the n-th order, solution of linear differential equations with constant coefficients (Method of undetermined coefficients, variation of constants), the system of linear differential equations of the first order, homogeneous system of linear differential equations, non-homogeneous system of linear differential equations, numerical solutions of differential equtions using computer, infinite number series and their basic criteria of convergence, sequences and infinite series of functions, partial differential equations - basic concepts, linear partial differential equations of the second order, some methods for solving of linear partial differential equations of the second order, the heat equation
 
Recommended or required reading:
Basic:
KOLESÁROVÁ, A. -- BALÁŽ, V. Matematika II. Bratislava: Slovenská technická univerzita v Bratislave, 2011. 261 p. ISBN 978-80-227-3493-6.
KREYSZIG, E. Advanced Engineering Mathematics 7th Edition. Toronto: John Wiley & Sons, Inc., 1993.

Recommended:
Borelli, R.-- Coleman, C. Differential equations, A Modeling Perspective. New York, Toronto: John Wiley & sons, 2004. 453 s. ISBN 0-471-43332-2.

 
Language of instruction: slovak or english
 
Notes:
 
Courses evaluation:
Assessed students in total: 4

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Name of lecturer(s): doc. RNDr. Vladimír Baláž, CSc. (examiner, instructor, lecturer, person responsible for course) - slovak, english
Mgr. Ľubomíra Horanská, PhD. (examiner, instructor, lecturer) - slovak, english
 
Last modification: 29. 1. 2019
Supervisor: doc. RNDr. Vladimír Baláž, CSc. and programme supervisor


Last modification made by Ing. Tomáš Molnár on 01/29/2019.

Type of output: