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| MATH0247-3 | Analysis II, 1st part
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| Duration : | 40h Th, 40h Pr |
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| Credits/ECTS : |
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| Holder(s) : | Françoise Bastin |
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| Language : | French language |
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| Course contents : | Short table of contents.
- Recall about fundamentals of the theory of integration (Lebesgue)
-Uniform convergence
-Integrales 'Euleriennes'- Pointwise convergence and uniform convergence
-Integrable and square integrable functions
-Convolution of functions
-Fourier transforms
-Trigonometric Fourier series
-Other orthogonal bases in infinite dimensional spaces
-Applications
-Brief introduction to holomorphic functions |
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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 : | Références:
- Notes about the course ''Compléments de mathématiques générales'', 2e bac informatique, chimie, géométrologie, F. Bastin (available online)
- Analyse Mathématique, Introduction aux espaces fonctionnels, J. Schmets.
Available online
-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.
Availaible online
-Other references in the notes
- Many complements via web pages http://www.afo.ulg.ac.be/fb/ens/html |
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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.
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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)
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