Mathematical Modelling

Full course description

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 modelling 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 analyse 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.

Prerequisites

Linear Algebra, Calculus.

Useful Resources

MIT - Differential Equations & Linear Algebra by Gilbert Strang

Files

A past student has compiled a document consisting of fundamental mathematical principles that will help ease you into the complex mathematics in this course. Please see MM Supplementary Notes v4.

Another past student has compiled a document consisting of a useful solutions guide to some exercises discussed in the course notes with extensive explanation to how and why topics were done, to help ease in getting an understanding of what actually happen, rather then just the answer. Please see Mathematical Modelling Solutions Guide v3.

Source: Previous wiki page