| Course Unit Code | 470-4110/01 |
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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 * | Second Cycle |
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| Year of Study * | First 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 | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| VOD03 | doc. Mgr. Petr Vodstrčil, Ph.D. |
| SAD015 | Ing. Marie Sadowská, Ph.D. |
| Summary |
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| Subject contains principles of calculus of function of complex variable including power and Laurent series and the theory of residua. |
| Learning Outcomes of the Course Unit |
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To supply working knowledge of basic concepts of differential and integral calculus of complex function, together with theory of power and Laurent series.
Student should also learn how to apply the theory in solving practical problems.
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| Course Contents |
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Complex Numbers.
Complex Functions.
Holomorphic Functions.
Integration.
Cauchy's Theorem.
Cauchy's Integral Formula.
Harmonic Functions.
Taylor and Laurent Series.
Residue Theorem. |
| Recommended or Required Reading |
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| Required Reading: |
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| I. Černý: Foundations of Analysis in the Complex Domain, Academia, Praha, 1992. |
J. Bouchala: Funkce komplexní proměnné, www.am.vsb.cz/bouchala.
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| Recommended Reading: |
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I. Černý: Foundations of Analysis in the Complex Domain, Academia, Praha, 1992.
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J. Bouchala: Funkce komplexní proměnné, www.am.vsb.cz/bouchala.
I. Černý: Základy analysy v komplexním oboru, Academia, Praha, 1967.
P. Galajda, Š. Schrötter: Funkcie komplexnej premennej a operátorový počet, Alfa, Bratislava, 1991.
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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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| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 30 (30) | 10 |
| 1. zápočtový test | Written test | 10 | 0 |
| 2. zápočtový test | Written test | 10 | 0 |
| Projekt | Project | 10 | 0 |
| Examination | Examination | 70 | 21 |