| Course Unit Code | 470-2115/01 |
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| Number of ECTS Credits Allocated | 6 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| BER95 | doc. Ing. Petr Beremlijski, Ph.D. |
| KAB002 | Ing. Pavla Hrušková, Ph.D. |
| Summary |
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Lectures cover following areas:
differential calculus of vector functions, integral calculs of vector functions, number series.
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| Learning Outcomes of the Course Unit |
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Succesful student will gain deep and wide knowledge of the subject.
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| Course Contents |
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The subject consists of the basic parts of the vector analysis theory and practice.
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| Recommended or Required Reading |
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| Required Reading: |
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BIJAN, Davvaz. Vectors and Functions of Several Variables. Springer, 2023. ISBN 9819929342.
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BOUCHALA, Jiří. Matematická analýza 3: diferenciální a integrální počet vektorových funkcí. Ostrava: VŠB - Technická univerzita Ostrava, 2001. ISBN 80-7078-882-8.
BOUCHALA, Jiří a Oldřich VLACH. Křivkový a plošný integrál [online]. VŠB - Technická univerzita Ostrava, 2012 [cit. 2024-04-17]. Dostupné z: http://mi21.vsb.cz/modul/krivkovy-plosny-integral
BOUCHALA, Jiří a Petr VODSTRČIL. Řady [online]. VŠB - Technická univerzita Ostrava, 2012 [cit. 2024-04-17]. Dostupné z: http://mi21.vsb.cz/modul/rady
BIJAN, Davvaz. Vectors and Functions of Several Variables. Springer, 2023. ISBN 9819929342.
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| Recommended Reading: |
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MALACRIDA, Simone. Exercises of Line, Surface and Volume Integrals. Simone Malacrida, 2022. ISBN 979-8215603987.
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KOPÁČEK, Jiří. Matematická analýza nejen pro fyziky (II). 4. vyd. Praha: Matfyzpress, 2015. ISBN 978-80-7378-282-5.
KOPÁČEK, Jiří. Matematická analýza nejen pro fyziky (III). 3., upr. vyd. Praha: Matfyzpress, 2007. ISBN 978-80-7378-020-3.
MALACRIDA, Simone. Exercises of Line, Surface and Volume Integrals. Simone Malacrida, 2022. ISBN 979-8215603987.
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| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 30 (30) | 10 |
| Písemná práce č. 1 | Written test | 10 | 0 |
| Písemná práce č. 2 | Written test | 10 | 0 |
| Projekt | Project | 10 | 0 |
| Examination | Examination | 70 | 21 |