Elementary Techniques of Numerical Integration and Their Computer Implementation. Applications of Elementary Calculus to Computer Science. Modules and Monographs in Undergraduate Mathematics and Its Applications Project. UMAP Unit 379

Abstract

It is noted that there are some integrals which cannot be evaluated by determining an antiderivative, and these integrals must be subjected to other techniques. Numerical integration is one such method; it provides a sum that is an approximate value for some integral types. This module's purpose is to introduce methods of numerical integration and to describe related computer programing techniques for electronically carrying out the calculations. The material is seen to require very little background or knowledge about computers and their use. Exercises are provided at various points. It is expected that users work each of these problems, as they are viewed as essential to a genuine understanding of the ideas developed. (MP)