Model Validation
Read this material on mathematical modeling. Try to complete the exercise at the end of the chapters. Don't worry if you have not yet learned the math necessary to complete the exercises. Rather, notice how many physical systems can be represented by mathematical models. We can then implement these models using programming languages like Python and R. We will discuss those later. Think about the types of systems you interact with, personally or in business situations. How might you use a mathematical model to help you understand this system?
2. Bounded growth (Phase line, Stable equilibrium)
Welcome to Module 2
In Module 2 again the project runs parallel to the theory. This module is scheduled in two weeks, so when you have not completely finished module 1 yet, you can catch up first.
For the project, you and your teammate are going to collect information and specify your problem. On the next pages you’ll first get general instructions. Then you can go to the page of the problem you chose and get more information and specific instructions.
Parallel to working on the project you study more theory. In Section 2.1 we will show how bounded growth can be modelled. In Section 2.2 you get to practice with another model, a simple model for an epidemic. In Section 2.3 you will learn to approximate the solutions numerically, and you are going to simulate the solutions on a computer. In Section 2.4 you will practice doing the simulations with the epidemic model of Section 2.2. The last section contains a summary of Module 2.
But first, on the next page, the project. Welcome to Module 2!