Academic year 2023/2024 |
Supervisor: | prof. RNDr. Miloslav Druckmüller, CSc. | |||
Supervising institute: | ÚM | |||
Teaching language: | Czech | |||
Aims of the course unit: | ||||
Then aim of the course is to extend students´ knowledge of real variable analysis to complex domain. |
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Learning outcomes and competences: | ||||
Fundamental knowledge of complex functions analysis. | ||||
Prerequisites: | ||||
Knowledge of mathematical analysis at the basic course level | ||||
Course contents: | ||||
The course familiarises students with fundamentals of the complex variable analysis. It gives information about elementary functions of complex variable, about derivative and the theory of holomorphic functions, conform mapping, and integration of complex variable functions including the theory of residue. |
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Teaching methods and criteria: | ||||
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures. | ||||
Assesment methods and criteria linked to learning outcomes: | ||||
Course-unit credit based on a written test. |
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Controlled participation in lessons: | ||||
Missed lessons can be compensated via a written test. |
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Type of course unit: | ||||
Lecture | 13 × 2 hrs. | optionally | ||
Exercise | 13 × 2 hrs. | compulsory | ||
Course curriculum: | ||||
Lecture | 1. Complex numbers, Gauss plain, sets of complex numbers |
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Exercise | 1. Complex numbers, Gauss plain, sets of complex numbers |
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Literature - fundamental: | ||||
1. Druckmüller, M., Ženíšek, A.: Funkce komplexní proměnné, PC-Dir Real, Brno 2000 | ||||
2. Šulista, M.: Základy analýzy v komplexním oboru, Stát.nakl.techn.lit., Praha 1981 | ||||
3. Druckmüller, M., Svoboda, K.: Vybrané statě z matematiky I., skriptum FS VUT Brno, Brno 1986 | ||||
Literature - recommended: | ||||
1. Druckmüller, M., Ženíšek, A.: Funkce komplexní proměnné, PC-Dir Real, Brno 2000 proměnné, PC-Dir Real, Brno 2000 | ||||
2. Druckmüller, M., Svoboda, K.: Vybrané statě z matematiky I., skriptum FS VUT Brno, Brno 1986 | ||||
3. Šulista, M.: Základy analýzy v komplexním oboru, Stát.nakl.techn.lit., Praha 1981 | ||||
4. Šulista, M.: Analýza v komplexním oboru, Stát.nakl.techn.lit., Praha 1986 |
The study programmes with the given course: | |||||||||
Programme | Study form | Branch | Spec. | Final classification | Course-unit credits | Obligation | Level | Year | Semester |
B-FIN-P | full-time study | --- no specialisation | -- | Cr,Ex | 4 | Compulsory | 1 | 3 | W |
Faculty of Mechanical Engineering
Brno University of Technology
Technická 2896/2
616 69 Brno
Czech Republic
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