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| MATH0251-1 | Analysis III, 1st part
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| Duration : | 30h Th, 30h Pr |
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| Credits/ECTS : |
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| Holder(s) : | Jean‑Pierre Schneiders |
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| Language : | French language |
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| Course contents : | The first part of the course is devoted to the local theory of systems of non-linear equations (implicit functions, rank theorem, Morse lemma, ...).
The second part contains a detailed study of systems of ordinary differential equations (existence and uniqueness of local and global solutions, special properties of autonomous and linear systems, dependance on initial conditions, ...) |
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| Course objective : | The aim of the course is to introduce a few significant problems of non-linear analysis and to show how they are solved by modern analysis |
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| Prerequisites : | A good knowledge of basic analysis and geometry is essential. |
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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 available at the beginning of course. |
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| Assessment : | An examination comprising an oral part on the theory and a written part on the exercices is organized in january.
A similar examination is organized during the second session. |
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| Contacts : | Jean-Pierre Schneiders
Département de Mathématique (Build. B37, Office 1/60)
Grande Traverse 12 - 4000 Liège (Sart-Tilman)
Phone : (04) 366.94.01 - E-Mail : jpschneiders@ulg.ac.be
Web page : http://www.analg.ulg.ac.be/jps/ |
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