Mathematics : geometry

ltarc1143  2017-2018  Tournai

Mathematics : geometry
3 credits
22.5 h + 22.5 h
Q1
Teacher(s)
Buysse Martin;
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:
A/ Pure geometry
  • Thales's and Pythagorus's theorems
  • Trigonometry
  • Applications : polygons, polyhedrons, etc.
B/ Analytical geometry
  • Vectors in space (definition, operations, properties)
  • Analytical and parametric equations
  • Parallelism, perpendicularity, secancy, distances in space
Aims

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

1

Specific learning outcomes

By the end of the course, students will be able to

  • break down a complex geometric figure in the plan and in space to take its measurement by making use of similarities and/or remarkable trigonometric functions.
  • establish the surface and volume of simple geometric figures with the help of basic vector operations.
  • determine the coordinates of points and the equations of rights and plans defined by their geometric position in figures inspired by buildings.
  • identify the essential properties of geometric figures and use them with clarity and rigour when solving problems of a geometric nature.

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”.
Faculty or entity
LOCI


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

Title of the programme
Sigle
Credits
Prerequisites
Aims
Bachelor in Architecture (Tournai)
ARCT1BA
3