MU:MU02034 Math. Methods in Phys. Eng. I - Course Information
MU02034 Mathematical Methods in Physics and Engineering I
Mathematical Institute in OpavaWinter 2023
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Hynek Baran, Ph.D. (lecturer)
RNDr. Petr Blaschke, Ph.D. (seminar tutor) - Guaranteed by
- RNDr. Petr Blaschke, Ph.D.
Mathematical Institute in Opava - Prerequisites (in Czech)
- TYP_STUDIA ( BN )
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, B1101)
- Applied Mathematics (programme MU, N1101)
- Mathematical Methods and Modelling (programme MU, Bc-M)
- General Mathematics (programme MU, Bc-M)
- Mathematics (programme MU, B1101)
- Course objectives
- The student can theoretically describe and practically use basic methods of solving common and partial differential equations.
- Syllabus
- 1. Runge-Kutta method for solving the Cauchy problem for ordinary differential equations.
2. Mesh method for boundary value problems.
3. Contractive operators, Banach fixed point theorem, direct iterative method.
4. Functionals in Hilbert space, minimum of quadratic functional, variational formulation of booundary value problem.
5. Ritz method, finite elements.
6. Polynomial approximation, least square method.
7. Spline interpolation.
- 1. Runge-Kutta method for solving the Cauchy problem for ordinary differential equations.
- Literature
- required literature
- BURDEN, R. L. and J. D. FAIRES. Numerical analysis. Online. Boston, USA, 2011. ISBN 978-0-538-73351-9. [citováno 2024-04-24] info
- recommended literature
- Segethová, J. Základy numerické matematiky. Online. Karolinum, 1988, [citováno 2024-04-24] info
- VITÁSEK, E. Numerické metody. Online. SNTL, Praha, 1987, [citováno 2024-04-24] info
- Z. Riečanová a kol. Numerické metody a matematická štatistika. Online. Alfa, Bratislava, 1987. ISBN 063-559-87. [citováno 2024-04-24] info
- not specified
- Rektorys K. a spolupacovníci. Přehled užité matematiky II. Online. Prometheus, 2003. ISBN 80-7196-181-7. [citováno 2024-04-24] info
- Rektorys K. a spolupacovníci. Přehled užité matematiky I. Online. Prometheus, 2000. ISBN 80-7196-180-9. [citováno 2024-04-24] info
- Škrášek J., Tichý Z. Základy aplikované matematiky III. Online. SNTL, Praha, 1990. ISBN 80-03-00111-0. [citováno 2024-04-24] info
- Kvasnica J. Matematický aparát fyziky. Online. Academia, Praha, 1989, [citováno 2024-04-24] info
- Škrášek J., Tichý Z. Základy aplikované matematiky II. Online. SNTL, Praha, 1986, [citováno 2024-04-24] info
- Dettman, J. W. Matematické metody ve fyzice a technice. Online. Academia, Praha, 1970, [citováno 2024-04-24] info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- The all demands for credits are determined by consideration of the tutorial lecturer.
Pass the exam (written and oral).Activity Difficulty [h] Cvičení 20 Domácí příprava na výuku 84 Přednáška 20 Příprava na zápočet 16 Příprava na zkoušku 16 Summary 156
- Enrolment Statistics (recent)
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