Analyse 4

Analysis 4

Teaching unit: fundamental: UEF 4.1.1

Weekly teaching hours:

    1.  Course (number of hours per week): 3 hours

     2. Tutorials (number of hours per week): 3 hours

Assessment methods: Continuous Assessment 40%, Final Examination 60%

Weighting of Continuous Assessment and Final Examination: Attendance, participation … 6 points. Continuous assessment(1): 14 points.Teacher in charge of the subject :  Dr. Smail KAOUACHE

Contact : s.kaouache@centre-univ-mila.dz  

Learning Objectives: 

 Learning Objectives:

The objective of this course is to provide the necessary knowledge regarding the differentiability of functions of several variables, the generalizations of the mean value theorem and Taylor's formula to functions of several variables, the calculation of extrema, and the calculation of multiple integrals. Recommended prior knowledge: Analysis 1 and Analysis 2

Contenu de la matière :

Chapiter 1 :Topology of IRn.

Chapiter2 :Real  Fonctions of Several variables

Chapitre 3 :Multiples IIntégrals 

References

·         J.-M. Monier, Analyse PC-PSI-PT, Dunod, Paris 2004.

·         Y. Bougrov et S. Nikolski, Cours de Mathématiques Supérieures, Editions Mir, Moscou, 1983.

·         N. Piskounov, Calcul différentiel et intégral, Tome 1, Editions Mir, Moscou, 1980.

·         J. Lelong-Ferrand et J. M. Arnaudiès, Cours de mathématiques, tome 4, Edition Dunod, 1992