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A key attribute of mathematics is its applicability in problem solving. The history of the subject is full of evidence that the driving force in its early development was based in trying to solve problems in plane geometry, celestial mechanics and in navigation.
Unfortunately, mathematical formulations (models) of most problems in science and engineering are, in general, difficult to solve analytically either because of the com¬plex nature of the analytical solutions or because such solutions cannot be expressed in terms of combinations of known mathematical functions.
In all such cases, numerical methods have to be resorted to. The mathematics or science student is therefore expected to have a working knowledge of and ability to apply numerical methods in solving some basic mathematical problems such as interpolation, numerical integration and finding roots of functions