Analysis

Duration

30h Th, 30h Pr

Number of credits

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

Learning unit contents

Short table of contents. - Recall about fundamentals of the theory of integration -Integrales 'Euleriennes' - Pointwise convergence and uniform convergence -Integrable and square integrable functions -Convolution of functions -Fourier transforms -Trigonometric Fourier series -Other 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, ... )and linear algebra.

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

Références: - Notes about the course ''Compléments de mathématiques générales'', 2e bac informatique, chimie, géométrologie, F. Bastin (available online) - 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. Availaible online -Other references in the notes - Many complements via web pages
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

Contacts

Françoise BASTIN, Institute of Mathematics, B37 Tel 04 366 94 74 email F.Bastin@ulg.ac.be (Secretary Department: 04 366 94 10)