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
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.