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| MATH0220-2 | Functions of complex variables
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| Duration : | 30h Th, 10h Pr, 20h Mon. WS |
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| Credits/ECTS : |
| Master in Mathematical Sciences, in-depth approach, 1st year | | Premier quadrimestre | | 10 |
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| Master in Mathematical Sciences, didactic approach, 1st year | | Premier quadrimestre | | 10 |
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| Master en sciences mathématiques, à finalité spécialisée en gestion, 1st year | | Premier quadrimestre | | 10 |
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| Master en sciences mathématiques, à finalité spécialisée en informatique, 1st year | | Premier quadrimestre | | 10 |
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| Master in Mathematical Sciences, specialized approach, 1st year | | Premier quadrimestre | | 10 |
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| Master in Mathematical Sciences | | Premier quadrimestre | | 10 |
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| Holder(s) : | Jean‑Pierre Schneiders |
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| Language : | Langue française |
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| Course contents : | This course follows the course on functions of one complex variables for second year students. This year, it will deal with the following subjects:
- Local structure and prolongation of holomorphic functions
- Biholomorphic functions and conformal representation
- Runge, Mittag-Leffler and Weierstrass theorems
- Elliptic integrals and elliptic functions
- Riemann surfaces
- Holomorphic linear differential equations
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| Course objective : | Solve some typical global problems of the theory of holomorphic functions and begin the study of linear differential equations in the complex domain. |
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| Prerequisites : | Good knowledge of the results of the theory of holomorphic functions studied during the second year course. |
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| Organization : | The course follows the official schedule given to the students at the beginning of the academic year. |
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| Written notes : | Lecture notes are handed out to the students at the beginning of the course. |
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| Assessment : | An examination comprising an oral part on the theory and a written part on the exercises is organised during the first session. A similar examination is organised during the second session. |
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| Contacts : | Jean-Pierre Schneiders
Département de Mathématique (Bât. B37, Bureau 1/60)
Grande Traverse 12 - 4000 Liège (Sart-Tilman)
Tél. : (04) 366.94.01 - E-Mail : jpschneiders@ulg.ac.be
Page Web : http://www.analg.ulg.ac.be/jps/ |
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