SS3 Second Term Further Mathematics Lesson Note – Mathematical Modeling

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WEEK 4

TOPIC: MATHEMATICAL MODELING

CONTENT:  

1. Introduction to modeling
2. Dependent and independent variables in modeling
3. Examples of some models
4. Construction of model methodology of modeling
5. 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.

1. Mathematics is a very precise language. This helps us to formulate ideas and identify underlying assumptions
2. Mathematics is a concise language, with well – defined rules for manipulations.
3. Computers can be used to perform numerical calculations.

What objectives can modeling achieve?

Mathematical modeling can be used for a number of different purposes.

1. Developing scientific understanding through quantitative expression of current knowledge of a system.
2. Test the effect of changes in a system
3. 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:

1. 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”.
2. Dependent variables: The values that result from the independent variables.

USING INDEPENDENT AND DEPENDENT VARIABLES

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