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| MATH0220-1

 | Functions of complex variables

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| Duration : | 30h Th, 10h Pr | |
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| Credits/ECTS : |
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| Holder(s) : | Jean‑Pierre Schneiders | |
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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.ulg.ac.be/analg/fvclm | |
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