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| MATH0247-1

 | Analysis II

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| Duration : | 30h Th, 30h Pr | |
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| Credits/ECTS : |
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| Holder(s) : | Françoise Bastin | |
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| Course contents :
| Short table of contents. -Uniform convergence. -Functions of one complex variable. -Integrable and square integrable functions. -Convolution of functions. -Fourier transforms. -Trigonometric Fourier series. -Orthogonal bases in infinite dimensional spaces. -Applications. | |
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| Course objective :
| The purpose of the course is to present standard techniques of analysis with theoritical mathematical support, with the aim of being carefully used in applications. | |
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| Prerequisites :
| Knowledge of basic analysis (series, functions of one and more than one variables, integration, differentiation, ... ) | |
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| Workshops :
| Many exercices will be presented and suggested to students following a precise schedule (available at the beginning of the academic year). | |
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| Organization :
| The precise schedule will be available no later than at the middle of next September. | |
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| Written notes :
| Notes de cours: -Analyse mathématique, Introduction aux espaces fonctionnels, J. Schmets. Ces notes sont disponibles dès le début du cours. -Cahier d'exercices: Exercices d'analyse mathématique, Notes du cours de la seconde candidature en sciences mathématiques et en sciences physiques, F. Bastin - J.P. Schneiders. Ce fascicule d'exercices est disponible dès le début des séances de répétition. -De nombreuses références sont indiquées au cours et dans les notes de cours. | |
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| Assessment :
| Everything is organized following the official academic division between periods of sessions and examinations. Written and oral exams will be organized.
''Local '' precisions could be added after a meeting of the Departement. | |
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| Contacts :
| Françoise BASTIN, Institute of Mathematics, B37 Tel 04 366 94 74 email F.Bastin@ulg.ac.be (Secretary Department: 04 366 94 10)
Samuel NICOLAY Institute of Mathematics, B37 Tel 04 366 94 33 email S.Nicolay@ulg.ac.be | |
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