Due to the COVID-19 crisis, the information below is subject to change,
in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
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
|
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
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
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
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
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
Force majeure
Evaluation methods
Unless only remote evaluations are allowed by the sanitary rules, the written exam is organized on site. Students unable to participate, as attested by a medical quarantine certificate, will be offered the opportunity to take the exam remotely at the same time. This parallel examination, written and proctored, will be of the same type and will cover the same topics as the main examination.
