Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Glineur François; Keunings Roland; SOMEBODY;
Language
French
Prerequisites
This course supposes acquired the notions of mathematics developed in the courses LEPL1101 and LEPL1102.
Main themes
Functions of several real variables. Continuity and differentiability. Optimization problems, vector analysis and integral theorems. Linear differential equations. Modelling of simple problems.
Aims
At the end of this learning unit, the student is able to : | |
| 1 |
At the end of the course the students will be able to
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The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
- Linear constant-coefficient ordinary differential equations of any order, Cauchy problem
- Scalar and vector-valued real functions of several variables, topology, continuity
- Differentiability, partial and directional derivatives, chain rule, tangent plane, gradient and Jacobian matrix
- Higher order partial derivatives and Taylor polynomial
- Unconstrained and constrained extrema, Lagrange multipliers
- Multiple integrals and changes of variables
- Line and surface integrals, circulation and flux of a vector field
- Notion of boundary and Stokes-type theorems
Teaching methods
Lectures in a large auditorium, supervised exercise (APE) and problem (APP) sessions in small groups, possibly online exercises.
Evaluation methods
Students will be evaluated with an individual written exam, based on the above-mentioned objectives. Results from continuous assessment may also be taken into account for the final grade.
Online resources
Bibliography
- Multivariable Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2017.
Teaching materials
- Multivariable Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2017.
Faculty or entity
BTCI
