SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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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 2023
Semester: both
E-Credits: 5
Hours per week, examination: 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
Additional information: https://www.mff.cuni.cz/cs/math/pro-studenty/bc-prog/bc-om-garant/momp/uka2023-24
Note: you can enroll for the course in winter and in summer semester
Guarantor: doc. RNDr. Roman Lávička, Ph.D.
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
Incompatibility : NMAA021
Pre-requisite : NMMA101, NMMA102
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.

Course completion requirements -
Last update: doc. RNDr. Roman Lávička, Ph.D. (25.09.2022)

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

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

Teaching methods -
Last update: G_M (27.04.2012)

Lecture and exercises

Requirements to the exam -
Last update: doc. RNDr. Roman Lávička, Ph.D. (26.05.2019)

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

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 global Cauchy theorem and formula

 
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