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Root number
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766 |
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Semester
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FS2025 |
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Type of course
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Lecture |
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Allocation to subject
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Mathematics |
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Type of exam
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Written exam |
| Title |
Complex Analysis |
| Description |
The field of complex numbers, elementary functions, Euler’s formula, De Moivre’s formula
Complex derivative and holomorphic functions, Cauchy-Riemann differential equations
Complex integration, Cauchy’s theorem
Convergence of power series, analytic functions, properties of analytic functions (regularity estimates, Liouville’s thm., Max. principle, Schwarz’ lemma, applications)
Singularities and meromorphic functions, Riemann’s theorem of removable singularities, poles, essential singularities, Theoreom of Cosarti-Weierstrass
Laurent series, residuals and their calculation
Residue theorem, argument principle and winding number, Rouché’s theorem, application to integrals |
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ILIAS-Link (Learning resource for course)
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Registrations are transmitted from CTS to ILIAS (no admission in ILIAS possible).
ILIAS
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Link to another web site
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| Lecturers |
Prof. Dr.
Sebastian Baader, Mathematisches Institut (MAI) - Low-Dimensional Topology and Geometry ✉
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ECTS
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6 |
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Recognition as optional course possible
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Yes |
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Grading
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1 to 6 |
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| Dates |
Tuesday 10:15-12:00 Weekly
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Wednesday 10:15-12:00 Weekly
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Rooms
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| Students please consult the detailed view for complete information on dates, rooms and planned podcasts. |
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Öffentlicher Bereich
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