University of Liege | Version française
	Study programmes 2010-2011 Last update : 11/04/2011
	MATH0247-1   Analysis II, 1st part Duration :   30h Th, 30h Pr Credits/ECTS :   Bachelor in mathematical sciences, 2nd year First semester 6 One-year preliminary programme leading to the Master in Statistics, general orientation First semester 6 Holder(s) :   Françoise Bastin Language :   French language Course contents :   Short table of contents. -Uniform convergence. -Integrales 'Euleriennes' -Integrable, square integrable functions and ae bounded functions -Convolution of functions -Fourier transforms -Trigonometric Fourier series -Orthogonal bases in infinite dimensional spaces -Applications 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. Prerequisites :   Knowledge of basic analysis (series, functions of one and more than one variables, integration, differentiation, ... ) Workshops :   Many exercices will be presented and suggested to students following a precise schedule (available at the beginning of the academic year). Organization :   The precise schedule will be available no later than at the middle of next September. Written notes :   Notes -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. Available online -Many other references within the notes and many different adapted complements available online http://www.afo.ulg.ac.be/fb/ens.html 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. Contacts :   Françoise BASTIN, Institute of Mathematics, B37 Tel 04 366 94 74 email F.Bastin@ulg.ac.be Lauurent SIMONS Institute of Mathematics, B37 Tel 04 366 93 91 (Secretary Department: 04 366 94 10) Remarks :   See also web pages dedicated to the course available from the the address http://www.afo.ulg.ac.be Home Search by Faculty Search by teacher Search by course code and title
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