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Components of Mathematical Model are variables or decision parameters; constants and calibration parameters; input parameters, data; phase parameters; output parameters; noise and random parameters.

(a) Segment: A part of line with two end points is called a line-segment. A line segment is denoted by AB and its length is is denoted by AB. (b) Ray: A part of a line with one end-point is called a ray. We can denote a line-segment AB, a ray AB and length AB and line AB by the same symbol AB.

Berry and Houston (1995) explain mathematical modelling process with six stages as understanding the problem, choosing variables, making assumptions, solving the equations, interpreting the solution, validating the model, and criticizing and improving the model.

Mathematical modeling refers to the process of creating a mathematical representation of a real-world scenario to make a prediction or provide insight. There is a distinction between applying a formula and the actual creation of a mathematical relationship.

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

So, the stages involved in mathematical modelling are formulation, solution, interpretation and validation. We will start by looking at the process you undertake when solving word problems, in Section A2. 2. Here, we will discuss some word problems that are similar to the ones you have solved in your earlier classes.

Mathematical models are used throughout the physical sciences. Some models in different fields include the following. Many mathematical models use similar equations. Four common forms of mathematical models are exponential decay, exponential growth, quadratic functions, and linear functions.

? Mathematical modeling provides a method for solving problems mathematically. ? A mathematical model is a mathematical representation of the relationship between two or more variables. relevant to a given situation or problem.