Written by two members of the Calculus Consortium based at Harvard University, Exploring Differential Equations via Graphics and Data provides an intuitive approach that gets students actively involved in their own learning. It transforms the traditional ODE course from its reliance on formal methods of solution to one where students think, experiment, explore and understand.
Students learn how to determine properties of a solution directly from the differential equation. Wherever possible, concepts are explored graphically, algebraically, numerically, and descriptively. The authors assume the user has access to mathematical software that draws slope fields, generates numerical solutions, and allows data and graphs of functions to be displayed simultaneously.
This book is intended for a standard ordinary differential equation course usually taught in mathematics departments (occasionally found in the engineering colleges) with a prerequisite of single variable calculus.
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