470-2116/01 – Functions of a Complex Variable (FKP)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantordoc. Mgr. Petr Vodstrčil, Ph.D.Subject version guarantordoc. Mgr. Petr Vodstrčil, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2025/2026Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KAL0063 prof. RNDr. René Kalus, Ph.D.
VOD03 doc. Mgr. Petr Vodstrčil, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

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.

Teaching methods

Lectures
Tutorials
Project work

Summary

Subject contains principles of calculus of function of complex variable including power and Laurent series and the theory of residua.

Compulsory literature:

I. Černý: Foundations of Analysis in the Complex Domain, Academia, Praha, 1992.

Recommended literature:

I. Černý: Foundations of Analysis in the Complex Domain, Academia, Praha, 1992.

Additional study materials

Way of continuous check of knowledge in the course of semester

Podmínky udělení zápočtu: Absolvování testů a vyřešení zadaných domácích úkolů. Hodnocení: ze cvičení lze získat maximálně 30 bodů.

E-learning

Other requirements

There are not defined other requirements for student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Complex Numbers. Complex Functions. Holomorphic Functions. Integration. Cauchy's Theorem. Cauchy's Integral Formula. Harmonic Functions. Taylor and Laurent Series. Residue Theorem.

Conditions for subject completion

Part-time form (validity from: 2025/2026 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)		Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30 (30) 10
                1. zápočtový test Written test 10  0 1
                2. zápočtový test Written test 10  0 1
                Projekt Project 10  0 1
        Examination Examination 70  21 3
Mandatory attendence participation: participation at all exercises is obligatory, absence of 20% can be excused participation at all lectures is expected

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2025/2026 (B0541A170008) Computational and Applied Mathematics K Czech Ostrava 2 Compulsory study plan
2025/2026 (B0541A170008) Computational and Applied Mathematics P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.