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Course, academic year 2024/2025
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Introduction to Complex Analysis (O) - NMMA901
Title: Úvod do komplexní analýzy (O)
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Is provided by: NMMA301
Guarantor: doc. Mgr. Petr Honzík, Ph.D.
Class: Informatika Mgr. - Diskrétní modely a algoritmy
Classification: Mathematics > Real and Complex Analysis
Incompatibility : NMAA021, NMAA121, NMMA301
Interchangeability : NMAA121, NMMA301
Is interchangeable with: NMAA121
Annotation -
An introductory course in complex analysis. Not equivalent to the required course NMMA301.
Last update: G_M (16.05.2012)
Aim of the course -

Introduction to complex analysis.

Last update: G_M (27.04.2012)
Course completion requirements -

A student must obtain credit from the exercises to take the exam. The credit is obtained for active participation at the exercises.

Last update: Lávička Roman, doc. RNDr., Ph.D. (26.05.2019)
Literature - Czech
Základní literatura

Veselý, J.: Komplexní analýza, Karolinum Praha, 2000

Novák, B.: Analýza v komplexním oboru (skripta), SPN Praha, 1980

Kopáček, J.: Příklady z matematiky pro fyziky IV, skripta MFF.

Doplňková literatura.

Rudin, W.: Reálná a komplexní analýza, Academia Praha, 1977

Last update: G_M (27.04.2012)
Teaching methods -

Lecture and exercises

Last update: G_M (27.04.2012)
Requirements to the exam -

Requirements to the exam correspond to the syllabus to the extent to which topics were covered during lectures and tutorials.

Last update: Lávička Roman, doc. RNDr., Ph.D. (26.05.2019)
Syllabus -

Holomorphic functions.

Power series and elementary functions.

Path integral.

The local Cauchy theorem and its applications.

Isolated singularities.

The Laurent series, residues.

The global Cauchy theorem and Cauchy formula.

Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (18.08.2017)
 
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