Development of computer supplements to calculus

In 1965 the Committee of the Undergraduate Program in Mathematics (CUPM) presented to the Mathematical Association of America its report: A General Curriculum in Mathematics for Colleges. In an article concerning this report, W. L. Duren, Jr., the chairman of CUPM, discussed the question of including a computer course in the general mathematics curriculum. At that time he raised the following questions: "Should we say that a three-hour Computer Science, which might be labelled Math. 2C, is the business and even responsibility of mathematics departments to teach? Alternately can and should a shorter introduction to programming be adjoined to existing mathematics courses? Should mathematics courses be modified to include homework on the computer? These are hot issues. Our attitude was: Let us wait and see." [13,p.828] This thesis intends to examine those questions relative to recommendations from prominent professionals and professional societies and a report of some of the experiments presently being conducted or recently conducted with respect to computer supplemented calculus, which will henceforth be referred to as computer calculus. This thesis also intends to present part of a computer calculus course based on what has been done previously and the particular needs of the Mathematics Department of the University of North Carolina at Greensboro