Mathematics : calculus

lbarc1144  2018-2019  Bruxelles

Mathematics : calculus
3 credits
15.0 h + 30.0 h
Q2
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 :

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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
Support du cours : syllabus.
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
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