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| MATH0247-3 | Analysis
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| Duration : | 40h Th, 40h Pr |
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| Number of credits : |
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| Lecturer : | Françoise Bastin |
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Language(s) of instruction :
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| French language |
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Organisation and examination :
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| All year long, with partial in January |
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Course contents :
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| Short table of contents.
- Recall about fundamentals of the theory of integration (Lebesgue)
-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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Learning outcomes of the course :
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| 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 and co-requisites/ Recommended optional programme components :
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| Knowledge of basic analysis (series, functions of one and more than one variables, integration, differentiation, ... ) |
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Planned learning activities and teaching methods :
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| 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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Mode of delivery (face-to-face ; distance-learning) :
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| The precise schedule will be available no later than at the middle of next September. |
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Recommended or required readings :
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| 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 methods and criteria :
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| 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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Work placement(s) :
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Organizational remarks :
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Contacts :
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| 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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| Items online : |
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| Theory and exercises |
| Pdf files |
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