Lectured in 1st year Master in Industrial Sciences in Construction Science
1st year Bachelor in Industrial Sciences in Chemistry
1st year Bachelor in Industrial Sciences in Electronics-ICT
1st year Bachelor in Industrial Sciences in Computer Science
1st year Bachelor in Industrial Sciences in Electromechanics
1st year Bachelor in Industrial Sciences in Electromechanics
Theory [A] 38.0
Exercises [B] 25.0
Training and projects [C] 0.0
Studytime [D] 170
Studypoints [E] 6
Level specialized
Language of instruction Dutch
Lecturer Hugo DE SMET
Reference IBIWBO01A00007
Key words
Matrix algebra, 3D geometry, real and complex analysis

Mathematics is an essential tool in matters of engineering. Moreover, besides the fact that the acquired abilities are necessary for the applications in related disciplines, mathematics is an ideal tool in developing critical thinking and in setting problems in a clear and comprehensive way.

The part on matrix algebra deals with matrix calculus, systems of linear equations, eigenvalues and eigenvectors. These concepts are illustrated with several applications in for example geometry, statistics and mechanics.
In 3-dimensional geometry several basic coordinate systems are given. Further on different forms for the equations of line, plane and sphere in space are developed together with their possible incidence relations.
The chapter finishes with the standard forms of quadratic surfaces.
The next part on real analysis focusses on applications of simple, double and triple integrals and the concept of line integral after having explained the basics of functions of several variables and partial derivatives.
Finally, in complex analysis, topics such as complex derivation, analytical function and line integral in the complex plane are treated together with some important properties.

Final competences from the course in mathematics I.

Final Objectives
The student should be able to analyse and solve practical problems by linking them to the appropriate topics of the course curriculum.
An ability to interpret results and to state them in the right context is expected, together with the ability of detecting errors in results and fallacies in logical reasoning.

Materials used
Teacher ‘s course

Study costs
€ 5

Study guidance
Possibility to consult the teacher after the lecture or by appointment. Free holiday course in september.

Teaching Methods
Lectures and exercises.

Written examination and written tests.

The mathematici