Answer:

In order that a complex problem can be analysed mathematically some of its features are simplified or ignored initially. A mathematical model uses mathematical language to describe a system.

Mathematical models are used not only in the natural sciences and engineering disciplines (such as physics, biology, earth science, meteorology, and electrical engineering) but also in the social sciences (such as economics, sociology and political science); physicists, engineers, computer scientists, and economists use mathematical models most extensively.

For example, in analyzing the motion of a tennis ball a simple mathematical model could be made by treating the ball as a particle and ignoring air resistance and spin.