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
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.
Lecturer(s)
The mathematici
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