MU02034 Mathematical Methods in Physics and Engineering I

Mathematical Institute in Opava
Winter 2015
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Oldřich Stolín, Ph.D. (lecturer)
RNDr. Jiří Jahn, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Oldřich Stolín, Ph.D.
Mathematical Institute in Opava
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
Course objectives
The course covers parts of the demands for the final examination for the specialization Applied Mathematics the program Mathematics.
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.
Literature
    recommended literature
  • W. J. Hilbert. Modern Algebra with Applications. New York, 2004. ISBN 0-471-41451-4. info
  • J. Munkres. Topology. Prentice Hall, New Jersey, 1999. ISBN 0-131-81629-2. info
  • Kvasnica J. Matematický aparát fyziky. Academia, Praha, 1989. info
  • D. Krupka, O. Krupková. Topologie a geometrie, 1. Obecná topologie. SPN, Praha, 1989. info
  • Segethová, J. Základy numerické matematiky. Karolinum, 1988. info
  • N. J. Bloch. Abstract Algebra with Applications. Englewood Clifs, 1987. ISBN 0130009857. info
  • VITÁSEK, E. Numerické metody. SNTL, Praha, 1987. info
  • Z. Riečanová a kol. Numerické metody a matematická štatistika. Alfa, Bratislava, 1987. ISBN 063-559-87. info
  • S. MacLane, G. Birkhoff. Algebra. Bratislava, 1974. info
  • A. G. Kuroš. Kapitoly z obecné algebry. Academia Praha, 1968. info
  • K. Rektorys a spolupracovníci. Přehled užité matematiky. SNTL, Praha, 1968. 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.
The course is also listed under the following terms Winter 2014, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021, Winter 2022, Winter 2023, Winter 2024.
  • Enrolment Statistics (Winter 2015, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2015/MU02034