Analysis of multivariate functions

LBIR1211  2019-2020  Louvain-la-Neuve

Analysis of multivariate functions
5.0 credits
30.0 h + 30.0 h
1q

Teacher(s)
Language
Français
Content

The following topics will be covered:

  • Functions of two variables and space geometry
  • Limits and continuity of functions of two variables
  • Partial derivatives and tangent plane
  • Gradient vector and applications of partial derivatives
  • Extreme values of functions of two or three variables and Lagrange multipliers
  • Multiple integration on regular domains and Riemann sums
  • Multiple integration on arbitrary domaines
  • Vector analysis (line integrals of scalar and vector fields, Green and Stokes's theorem, ...)
  • Introduction to Fourier calculus
  • Introduction to partial differential equations
Teaching methods

There will be one two-hour lecture and one two-hour practical session per week.

Evaluation methods

The course assessement is based entirely on a written exam.

Other information

The course does not use any particular support which would have to be paid and deemed obligatory. Any paid books that may be recommended are optional.

Bibliography

Ouvrages de référence et outils de travail : Ce cours se base uniquement le deuxième volume du livre de référence « Analyse, concepts et contextes :  Fonctions de plusieurs variables » de James Steward, 3ème édition, de boeck. Ce livre est disponible à la DUC. Une version électronique est également disponible sur le site suivant (après identification) : http://accesnoto.deboecksuperieur.com/notobib. Des documents complémentaires seront également mis à disposition sur le site Moodle du cours.

Faculty or entity


Programmes / formations proposant cette unité d'enseignement (UE)

Program title
Sigle
Credits
Prerequisites
Aims
Bachelor in Bioengineering