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Introduction to Complex Analysis - NMMA301

Title:	Úvod do komplexní analýzy
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
Teaching methods:	full-time

Guarantor:	doc. Mgr. Petr Honzík, Ph.D.
Class:	M Bc. MMIB M Bc. MMIB > Povinné M Bc. OM M Bc. OM > Povinné
Classification:	Mathematics > Real and Complex Analysis
Pre-requisite :	{One 1st year Analysis course}
Incompatibility :	NMAA021
Interchangeability :	NMAA021
Is co-requisite for:	NMMA338
Is incompatible with:	NMMA901
Is interchangeable with:	NMMA901, NMAA021

Annotation -

An introductory course in complex analysis. Required course for bachelor's programs General Mathematics and Information Security.

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 -

The exam will be written. The student will receive credit for active participation in exercises.

Last update: Lávička Roman, doc. RNDr., Ph.D. (25.09.2022)

Literature - Czech

Základní literatura

Veselý, J.: Komplexní analýza (pro učitele), Karolinum Praha, 2000.

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

Kopáček, J.: Příklady z matematiky nejen pro fyziky IV, Matfyzpress 2009.

Doplňková literatura.

Rudin, W.: Analýza v reálném a komplexním oboru, Academia Praha, 1977; přepracované vydání 2003

Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (29.09.2017)

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 formula

Last update: Kaplický Petr, doc. Mgr., Ph.D. (29.05.2017)