714-0421/01 – Functions of Complex Variable (FKP)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantordoc. RNDr. Jaroslav Vlček, CSc.Subject version guarantordoc. RNDr. Jaroslav Vlček, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction1999/2000Year of cancellation2005/2006
Intended for the facultiesFEIIntended for study typesMaster
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

This course is closed.

Teaching methods

Summary

The first part contains infinite series of real functions, especially the power series and their applications. Functions of complex variable with applications is the last theme.

Compulsory literature:

*

Recommended literature:

*

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Osnova předmětu Funkční řady v reálném oboru Posloupnosti funkcí; řady funkcí v R - obor konvergence, absolutní a stejnoměrná konvergence; mocninné řady v R - vlastnosti, součet, Taylorův rozvoj, aplikace. Základy analýzy v komplexním oboru Gaussova rovina; komplexní funkce reálné proměnné; funkce komplexní proměnné - zavedení, limita a spojitost, elementární funkce; derivace a regularita, harmonicky sdružené funkce; konformní zobrazení; integrál funkce komplexní proměnné - zavedení, Cauchyho věty, komplexní potenciál; mocninné řady v C, Taylorův rozvoj; Laurentův rozvoj, klasifikace singulárních bodů; rezidua a jejich aplikace.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2005/2006 (M2612) Electrical Engineering and Computer Science (2612T999) Common Base for FEI P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (2612T999) Common Base for FEI P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (2612T999) Common Base for FEI P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (2612T999) Common Base for FEI P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2612T999) Common Base for FEI P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2612T999) Common Base for FEI P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (20) Elektrické pohony a výkonová elektronika P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (2612T999) Common Base for FEI P Czech Ostrava 2 Compulsory study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner