Mathematical Modelling

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Mathematical Modelling is of great importance for solving practical problems by casting them into a form suitable for the use of mathematical techniques. The course introduction consist of a general methodology by means of the modeling cycle. After that the course will focus on the most widely used model classes in engineering. In particular the class of linear time-invariant dynamical models will be discussed. Models will be described based on their governing difference/differential equations. Alternative model descriptions that will be used include transfer functions, and state space models. This course is accompanied by practical labs in which the students analyze linear dynamic models using Matlab. After completing this course students will be able to set up an elementary mathematical model for solving practical problems. The students will be able to perform an elementary model analysis and switch between various model descriptions.