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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 : | Langue française |
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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, ...).
In the second part, we develop analysis on manifolds (differential forms, exterior differentiation, integration of densities, general Stokes theorem, ...)
The last 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 will be available. |
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| Assessment : | An examination comprising an oral part on the theory and a written part on the exercices is organized in may-june.
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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