WISKUNDE II
 
Taught in Linking course to Master in Industrial Sciencesin Construction Sciencevoor Prof.Bach.in bouwkunde/vastgoed/topografie
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Linking course to Master inIndustrial Sciences in Electronics-ICTvoor Prof.Bach.in electr./ICT multimedia en commun.tech.
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Linking course to Master inIndustrial Sciences in Electromechanicsvoor Prof.Bach.in elektromech.
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Linking course to Master inIndustrial Sciences in Electrotechnologyvoor Prof.Bach.in elektromech. en electr./ICT
Theory [A] 36.0
Exercises [B] 24.0
Training and projects [C] 0.0
Studytime [D] 170.0
Studypoints [E] 6
Level  
Credit contract? Access upon approval
Examination contract? Access upon approval
Language of instruction Dutch
Lecturer Ann De Bodt
Reference IZIWTE01A00001
 
Key words
Matrix algebra, 3D geometry, real and complex analysis

Objectives
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.

Topics
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.

Prerequisites
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
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Teacher ‘s course

Study costs
€ 5

Study guidance
Possibility to consult the teacher after the lecture or by appointment. Free holiday course in september.
Electronic: http://docent.hogent.be/~adb603/wis

Teaching Methods
Lectures and exercises.

Assessment
Written examination and written tests.
However, if a student gains a score of 7 or less on 20 on one of the different courses (parts of training items), he proves that his skill for certain subcompetencies is insufficient. Consequently, one can turn from the arithmetical calculation of the final assignment of quotas of a training item and the new marks can be awarded on consensus. Of course the examiners can judge that the arithmetic regulations mentioned in the study index card can also be used for 7 or less. For each deviation a detailed motivation ought to be drawn up. In that case one should point out that the skill for this subcompetency is proven to be insufficient, if the student didn’t pass the partim that is considered to be important for certain subcompetencies.

Lecturer(s)
The mathematici