2023-2024 / MATH0247-4

Analysis II


30h Th, 30h Pr

Number of credits

 Bachelor in physics6 crédits 


Françoise Bastin

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January


Schedule online

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)

Face-to-face course

Additional information:

See web (celcat)


Recommended or required readings

see http://www.afo.ulg.ac.be/fb


Exam(s) in session

Any session

- In-person

written exam ( open-ended questions ) AND oral exam

Additional information:

Written and oral exams will be organized.

Work placement(s)

Organisational remarks and main changes to the course

See also web pages dedicated to the course available from the the address http://www.afo.ulg.ac.be/fb


Françoise BASTIN,
Institute of Mathematics, B37
Tel 04 366 94 74
email F.Bastin@uliege.be

Laura REMACLE , email : l.remacle@uliege.be

(Secretary Department:
04 366 94 10)

Association of one or more MOOCs