Inhalt
[ 404ANACCANV23 ] VL (*)Complex Analysis
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| (*) Leider ist diese Information in Deutsch nicht verfügbar. |
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| Workload |
Ausbildungslevel |
Studienfachbereich |
VerantwortlicheR |
Semesterstunden |
Anbietende Uni |
| 4,5 ECTS |
M - Master |
Mathematik |
N.N |
3 SSt |
Johannes Kepler Universität Linz |
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| Detailinformationen |
| Quellcurriculum |
Masterstudium Computational Mathematics 2025W |
| Lernergebnisse |
Kompetenzen |
| (*)After completing the course, students should be able to analyze, understand, and use complex functions,
develop a deeper understanding of complex analysis and solve mathematical problems in this area independently,
as well as apply the learned concepts and techniques in problems in mathematics, physics, or electrical engineering.
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| Fertigkeiten |
Kenntnisse |
(*)- Mastering different ways of representing complex numbers.
- Solving complex equations and inequalities.
- Applying integration and differentiation methods to complex functions.
- Understanding special functions such as trigonometric functions, exponential functions, and logarithmic functions in the complex domain.
- Applying complex functions in physical and technical applications.
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(*)Complex numbers and their representation.
Basic arithmetic operations with complex numbers.
Examples of complex functions and their properties.
Complex differentiation and integration.
Cauchy-Riemann differential equations.
Residue theorem and its applications.
Convergence of power series.
Harmonic functions.
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| Beurteilungskriterien |
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| Abhaltungssprache |
Englisch |
| Lehrinhalte wechselnd? |
Nein |
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| Präsenzlehrveranstaltung |
| Teilungsziffer |
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| Zuteilungsverfahren |
Direktzuteilung |
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