Acknowledgements
Parts of the material in this section was taken from a number of sources, which are listed below
Mathematica 4.0, S. Wolfram. Mathematica User's Guide to the X Front End, Wolfram Research. Mathematical Modelling and Mathematica, J.E. Cruthirds and L.R. Hitt, Department of Mathematics and Statistics, University of South Alabama, material taken from the Web. Continuous system modeling, Francois Cellier. Springer Verlag 1991
Introduction
This notebook will introduce some concepts of modelling and simulation of continuous systems. Emphasis is on examples taken from nature. We will use inductive instead of deductive reasoning, meaning that our models are not created on the basis of physical understanding of the processes we wish to capture: We rather make some observations about the system under study an then try to fit a (meta) model to the observed data.
You will notice that this notebook contains material covering Population & Growth modelling and simulation of these phenomena using Mathematica. In the text you will find a large number of exercises that will help to understand the material. Furthermore, at the end of the notebook you will find three additional exercises.
Important instructions for all students: Each notebook contains several questions that must be handed in. Theses questions are labeled accordingly:
Required: These questions must be done by all students.
Advanced: These questions are considered to be more difficult and may be assigned by the instructor.
Optional: These questions are optional to all students and will be counted towards extra marks.
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