Mathematics - calculus

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.

3 credits

15.0 h + 30.0 h

Teacher(s)

Buysse Martin; Cherpion Marielle;

Language

French

Main themes

This course is designed to provide students with the mathematical methods used in other scientific subjects. It involves both understanding the necessary basic concepts for modelling in science and gaining a certain degree of skill in the application of calculus techniques.
This course will also develop skills in the field of generalisation, logical thinking, rigour and lead to a good understanding of the real world, particularly through the perception of geometric objects in space.
To do this, the following will be covered:

functions of one variable
limits and continuity
derivatives and optimisation
simple integrals and calculus of surfaces/moments
ordinary differential equations.

Aims

At the end of this learning unit, the student is able to :

Specific learning outcomes:
By the end of the course, students will be able to

identify the essential properties of functions from their graphic representation.
construct curves overall plan which meet general conditions in position and selective conditions in junction, parallelism and/or perpendicularity by making use of basic concepts of function, limits and derivatives or techniques for the resolution of first order separable and/or linear ordinary differential equations.
optimise defined lengths, surfaces or volumes in the framework of bi- or tri-dimensional geometric problems by making use of basic concepts of function, limits and derivatives.
calculate a surface defined by elementary curves in the plan by breaking it down to an infinite sum of surfaces of rectangles on one hand, and by calculating the primitive function defining the curve on the other.

Contribution to the learning outcome reference framework:
Express an architectural procedure

Be familiar with, understand and use the codes for representing space, in two and three dimensions
Identify the main elements of a hypothesis or a proposal to express and communicate them
Express ideas clearly in oral, graphic and written form

Use the technical dimension

Be familiar with and describe the main technical principles of building

Make use of other subjects

Interpret the knowledge of other subjects

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”.

Bibliography

Syllabus : Mathématique-Analyse

Teaching materials

Syllabus : Mathématique-Analyse

Faculty or entity

LOCI

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

Title of the programme

Sigle

Credits

Prerequisites

Aims

Bachelor in Architecture (Bruxelles)

ARCB1BA