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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 2016 to 2016
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter 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. RNDr. Roman Lávička, 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 2nd year Analysis course}, NMMA203
Incompatibility :	NMAA021
Interchangeability :	NMAA021
Is co-requisite for:	NMMA338
Is incompatible with:	NMMA901
Is interchangeable with:	NMMA901, NMAA021

Annotation -

Last update: G_M (16.05.2012)

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

Aim of the course -

Last update: G_M (27.04.2012)

Introduction to complex analysis.

Literature - Czech

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

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

Teaching methods -

Last update: G_M (27.04.2012)

Lecture and exercises

Syllabus -

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

Holomorphic functions.

Power series and elementary functions.

Path integral.

The local Cauchy theorem and its applications.

Isolated singularities.

The Laurent series, residues.

The Laplace transform.