MU:MU02034 Math. Methods in Physic Eng. I - Course Information

MU02034 Mathematical Methods in Physics and Engineering I

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Oldřich Stolín, Ph.D. (lecturer)
RNDr. Oldřich Stolín, Ph.D. (seminar tutor)

Guaranteed by

RNDr. Oldřich Stolín, Ph.D.
Mathematical Institute in Opava

Timetable

Wed 13:55–15:30 110

• Timetable of Seminar Groups:

MU02034/01: Thu 12:15–13:50 110, O. Stolín

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)
• Mathematics (programme MU, B1101)

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
• 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)

Study Materials
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 (Winter 2019, recent)
  
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