Modeling makes it possible to predict the course of an event before it actually occurs, or to study
various aspects of an event mathematically without actually running expensive and time-consuming
experiments. When preparing a mathematical model, all the variables that affect the phenomena are
identified, reasonable assumptions and approximations are made, and the interdependence of these
variables are studied. The relevant physical laws and principles are invoked, and the problem is formulated
mathematically. Finally, the problem is solved using an appropriate approach, and the results are
interpreted.