This course focusses on the basics of some mathematical topics which are indispensable in science and engineering. The emphasis is on developing and improving our mathematical way of thinking and playing with ideas that occur in many diverse fields in different guises. The three main parts of the course are: differential equations, integral transforms and statistics.
The competences gained by students include:
- Differential equations - An understanding how they arise in different applications in the natural sciences and engineering; An understanding of the difficulties invloved with solving such differential equations and a knowledge of various inherent characteristics. -
- Integral transforms - An understanding of these transforms (Fourier, Laplace) and their uses, particularly for solving differential equations.
- Statistics - An understanding of relvant statistics, in particular a practical knowledge of the statistics related to the design of surveys.