Report : Computer Oriented Differential Equation s A COMPUTER ORIENTED COURSE IN DIFFERENTIAL EQUATION S C . W . Leininge r Department of Mathematic s State University of New Yor k Cortland, New York 1304 5 The fact that our course in differential equations is not require d of mathematics majors has presented an opportunity for experimentatio n in approach and topical content in order to provide a more satisfyin g response to the needs of an increasingly diverse group of arts and scienc e majors . Accordingly we have bee n (1) stressing applications of theorems rather than their proofs , (2) presenting more models from biological, ecological, medical , and sociological sources, an d (3) expanding the role of the computer in both numeric an d graphic mode . Since no programming background is expected of the students, representation of numerical algorithms is by means of flowcharts . An explanatio n of the flowchart language used is provided early in the course . For eac h type of initial value problem studied, solution techniques are explained , questions of existence and uniqueness are discussed, and qualitative aspect s of solutions are considered analytically as well as
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