Oct 17, 2019   6:31 a.m. Hedviga

# Course syllabus B1-PDR - Partial differential equations (FCE - SS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-PDR
Course unit title: Partial differential equations
Mode of delivery, planned learning activities and teaching methods:
 lecture 3 hours weekly (on-site method) seminar 3 hours weekly (on-site method)

Credits allocated: 6

Recommended semester/trimester: Mathematical and Computational Modeling - bachelor (compulsory), 4. semester
Level of study: 1.
Prerequisites for registration: passed Mathematical analysis 1 (B-MA1) and passed Mathematical analysis 2 (B-MA2)

Assesment methods:
56 points on exam achieved.

Learning outcomes of the course unit:
Student will gain deep knowledge in classical solution of partial differential equations (PDEs) of elliptic, parabolic and hyperbolic type, mainly by the method of characteristics, Fourier's method, method of Green function and by means of convolution.

Course contents:
- Klassification of PDEs.
- Initial-boundary value problems for PDEs - formulation and applications.
- Method of characteristics for wave equation.
- Fourier's method of separation of variables.
- Method of the Green function for elliptic and parabolic equations.
- Potential theory.
- Euler-Lagrange equations and minimization of functionals.

Basic:
 ARSENIN, V J. Matematická fyzika: Základné rovnice a špeciálne funkcie. Bratislava : Alfa, 1977. 429 p. MÍKA, S. -- KUFNER, A. Parciální diferenciální rovnice I. Stacionární rovnice. Praha : SNTL, 1983. 184 p.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 30

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Name of lecturer(s): prof. RNDr. Karol Mikula, DrSc. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english
doc. Mgr. Mariana Sarkociová Remešíková, PhD. (examiner, instructor, lecturer, tutor) - slovak, english

Last modification: 16. 4. 2019
Supervisor: prof. RNDr. Karol Mikula, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 04/16/2019.

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