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| MATH0054-1

 | Compléments de mathématique - Analysis II - Statistics of experimental data in physics

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| Duration : | Analysis II : 30h Th, 30h Pr Statistics of experimental data in physics : 22,5h Th, 15h Pr
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| Credits/ECTS : |
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| Holder(s) : | Analysis II : Françoise Bastin
Statistics of experimental data in physics : Paul Gérard
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| Course contents :
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 |  | Analysis II |

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 | 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 :
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 |  | Analysis II |

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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 :
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 |  | Analysis II |

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 | Knowledge of basic analysis (series, functions of one and more than one variables, integration, differentiation, ... ) |
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| Workshops :
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 |  | Analysis II |

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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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| Organization :
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 |  | Analysis II |

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 | The precise schedule will be available no later than at the middle of next September. |
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| Written notes :
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 |  | Analysis II |

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 | 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 :
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 |  | Analysis II |

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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.
''Local '' precisions could be added after a meeting of the Departement. |
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| Contacts :
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 |  | Analysis II |

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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)
Samuel NICOLAY Institute of Mathematics, B37 Tel 04 366 94 33 email S.Nicolay@ulg.ac.be |
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