5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Hanert Emmanuel;
Language
French
Prerequisites
The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
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.
Online resources
Bibliography
- « Analyse, concepts et contextes : Fonctions d'une variable » de James Steward, 3ème édition, de boeck.
Teaching materials
- « Analyse, concepts et contextes : Fonctions d'une variable » de James Steward, 3ème édition, de boeck.
Faculty or entity
AGRO
