Duration
30h Th, 30h Pr
Number of credits
| Bachelor in physics | 6 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
Teaching in the first semester, review in January
Schedule
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
-Orthogonal bases in infinite dimensional spaces
-Trigonometric Fourier series
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, hybrid learning)
See web (celcat)
Organisational adjustments related to the current health context
See French version
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
Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.
Any session :
- In-person
written exam ( open-ended questions ) AND oral exam
- Remote
written exam ( open-ended questions ) AND oral exam
- If evaluation in "hybrid"
preferred in-person
Additional information:
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@uliege.be
(Secretary Department:
04 366 94 10)