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
Q1
Teacher(s)
Glineur François; Jungers Raphaël; Remacle Jean-François (coordinator); SOMEBODY; Wertz Vincent;
Language
French
Main themes
functions of a real variable, first order differential equations. Mathematical proof techniques. Modelling of simple problems, and problem solving.
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
|
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
- Real numbers, inequalities, sequences and series
- Real functions of one variable, limits and continuity, sequences of functions
- Derivation and applications, optimization
- Taylor polynomial
- Integration and applications
- Complex numbers
- Introduction to differential equations
- Introduction to multivariable calculus: toppology, continuity, differentiability, partial derivatives and chain rule, gradient and tangent plane for scalar real functions of two variables
Teaching methods
Lectures in a large auditorium, supervised exercise (APE) and problem (APP) sessions in small groups, possibly supplemented with writing assignments and 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
- Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2014.
- Multivariable Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2017.
Teaching materials
- Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2014.
- Multivariable Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2017.
Faculty or entity
BTCI
