This textbook is designed to be used in an independent study calculus course at South Dakota State University. A unique feature of the course is a heavy reliance on color slide transparencies that are used to develop basic concepts graphically. These slides and accompanying commentaries are available for students at an educational media center.…

This document explores two methods of obtaining numbers that are approximations of certain definite integrals. The methods covered are the Trapezoidal Rule and Romberg's method. Since the formulas used involve considerable calculation, a computer is normally used. Some of the problems and pitfalls of computer implementation, such as roundoff…