Duration
30h Th, 30h Pr
Number of credits
| Bachelor in mathematics | 6 crédits |
Lecturer
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
Learning unit 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 learning unit
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
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.
Work placement(s)
Organizational remarks
See also web pages dedicated to the course available from the the address http://www.afo.ulg.ac.be/fb
Contacts
Françoise BASTIN,
Institute of Mathematics, B37
Tel 04 366 94 74
email F.Bastin@ulg.ac.be
(Secretary Department:
04 366 94 10)