Course: Selected Chapters from Applied Mathematics

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Course title Selected Chapters from Applied Mathematics
Course code UMKM/IDSAM
Organizational form of instruction no contact
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 0
Language of instruction Czech, English
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
Course content
Advanced matrix calculus. Numerical mathematics. Graphs and nets. Tensor calculus. Partial differential equation and their systems. Extensive systems of linear differential equations. Selected systems of the non-linear differential equations. Integral equations. Variation calculus with applications. Stability of solution in mathematics.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
Learning outcomes
The target of the subject is to deepen and extend the mathematical knowledge in the selected mathematical areas and to provide them the tools that are necessary for the solution of the problems
Student will be able to use these methods independently at the solution of the concrete examples from the branch of student´s doctoral study
Prerequisites
Knowledge of mathematics and probability is assumed in the range that is usual at the technical universities

Assessment methods and criteria
Oral examination

Student must be able to make the prescribed subject matted up from the theoretical and practical view.
Recommended literature
  • BARTÁK, L.; HERRMANN, L.; LOVICAR, V.; VEJVODA, O. Parciální diferenciální rovnice. SNTL, Praha, 1998.
  • BENSOUSSAN, A.; LIONS, J. L. Impulsnoje upravlenje i kvazivariacionnyje neravenstva. Nauka, Moskva, 1987.
  • Leon, S.J. Linear Algebra with Applications. New Jersey, Prentice Hall, 1994.
  • V. M.; FOMIN, S. V.; TICHOMIROV, V. M. Matematická teorie optimálních procesů. Academia, Praha, 1991.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Electrical Engineering and Informatics Study plan (Version): Information, Communication and Control Technologies (2013) Category: Electrical engineering, telecommunication and IT - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Electrical Engineering and Informatics Study plan (Version): Information, Communication and Control Technologies (2013) Category: Electrical engineering, telecommunication and IT - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Electrical Engineering and Informatics Study plan (Version): Information, Communication and Control Technologies (2013) Category: Electrical engineering, telecommunication and IT - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Electrical Engineering and Informatics Study plan (Version): Information, Communication and Control Technologies (2013) Category: Electrical engineering, telecommunication and IT - Recommended year of study:-, Recommended semester: -