MATHEMATICS
 
Lectured in 1st year BuildingSection real estate
1ste jaar Bouw optie vastgoed
Theory [A] 104.0
Exercises [B] 0.0
Training and projects [C] 0.0
Studytime [D] 179
Studypoints [E] 7
Language of instruction Dutch
Lecturer Luc ROMAN
Reference TGBOUW01A00001
 
Key words
Mathematics

Objectives
Knowledge of mathematical tecniques and concepts which are essential in other technical subjects and necessary for professional duty. Successful application of these techniques.


Topics
GEOMETRY
ALGEBRA
Complex numbers
(In)equations in 1 variable, systems of linear (in)equations
Logaritmic en exponential equations Matrices and determinants

ANALYSIS
Limits, derivatives, graphing functions
Logaritmic en exponential functions

GEOMETRY
Plane figures. Triangles: congruency and similarity. Regular polygons. The circle.
Straight lines and planes.Geometrical figures: surface area and volume.
In the plane: coordinates of points, orthonormal coordinate system, distance between two points, transformation of coordinate systems, the straight line and the circle.
In space: coordinates of a point, orthonormal cordinate system, distance between two points, planes and straight lines, the sphere.

TRIGONOMETRY
About angles, goniometric and cyclometric functions, goniometric formulas : sum formulas, formulas for 2a en 3a, Simpson formulas, formulas for a/2, basic goniometric equations.
Formulas in a rightangled triangle, adjacent elements in a rightangled triangle, formulas in any triangle, calculating the elements of any triangle, adjacent elements in any triangle, applications in landsurveying, using orded triangles in landsurveying.


Prerequisites
Have a background of algebra

Final Objectives


Materials used
- teacher's course


Study costs


Study guidance


Teaching Methods
- lectures
- exercises
- home study


Assessment
written examination


Lecturer(s)
Luc Roman - Johan Flamang