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WEEK 4
TOPIC: MATHEMATICAL MODELING
CONTENT:
- Introduction to modeling
- Dependent and independent variables in modeling
- Examples of some models
- Construction of model methodology of modeling
- Application of model to physical, biological, social and behavioral services.
SUB-TOPIC 1: INTRODUCTION TO MODELING
Mathematical models describe our beliefs about how the world functions. In mathematical modeling, we translate those beliefs into the language of mathematics. This has many advantages.
- Mathematics is a very precise language. This helps us to formulate ideas and identify underlying assumptions
- Mathematics is a concise language, with well – defined rules for manipulations.
- Computers can be used to perform numerical calculations.
What objectives can modeling achieve?
Mathematical modeling can be used for a number of different purposes.
- Developing scientific understanding through quantitative expression of current knowledge of a system.
- Test the effect of changes in a system
- Aid decision making including tactical decisions by managers strategic by planners.
SUB-TOPIC 2: VARIABLES IN MODELING
Generally speaking, in any given model or equation, there are two types of variables:
- Independent variables: the values that can be changed in a given model or equation. They provide the “input” which is modified by the model to change the “output”.
- Dependent variables: The values that result from the independent variables.
USING INDEPENDENT AND DEPENDENT VARIABLES
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