Study Programmes 2015-2016
MATH0247-4  
Analysis, II, First Part
Duration :
30h Th, 30h Pr
Number of credits :
Bachelor in mathematics6
Lecturer :
Françoise Bastin
Language(s) of instruction :
French language
Organisation and examination :
Teaching in the first semester, review in January
Units courses prerequisite and corequisite :
Prerequisite or corequisite units are presented within each program
Course contents :
Short table of contents.
-Reminding of integral calculus -Uniform convergence and pointwise 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
Learning outcomes of the course :
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.
Prerequisite knowledge and skills :
Knowledge of basic analysis (series, functions of one and more than one variables, integration, differentiation, ... )
Planned learning activities and teaching methods :
Many exercices will be presented and suggested to students following a precise schedule (available at the beginning of the academic year).
Mode of delivery (face-to-face ; distance-learning) :
The precise schedule will be available no later than at the middle of next September.
Recommended or required readings :
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 methods and criteria :
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.
Work placement(s) :
Organizational remarks :
See also web pages dedicated to the course available from the the address http://www.afo.ulg.ac.be
Contacts :
Françoise BASTIN, Institute of Mathematics, B37 Tel 04 366 94 74 email F.Bastin@ulg.ac.be

(Secretary Department: 04 366 94 10)