Inhalt
[ 404ANACCANV23 ] VL Complex Analysis
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 4,5 ECTS |
M - Master's programme |
Mathematics |
N.N |
3 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Master's programme Computational Mathematics 2025W |
| Learning Outcomes |
Competences |
| 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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| Skills |
Knowledge |
- 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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| Criteria for evaluation |
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| Language |
English |
| Changing subject? |
No |
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| On-site course |
| Maximum number of participants |
- |
| Assignment procedure |
Direct assignment |
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