>One thing I really miss [and this is relevant to the present discussion] >in texts I have been using recently is an early section on Differential >Equations. Let's face it, most of the taplications of calculus in physics >and applied mathematics is in the area of differential equations, so it >makes sense to do just a tiny bit of DE within the first 5 or 6 chapters >of any calculus text. I am hopelessly "non-reform" in my thinking, I >suppose, but surely this fits in nicely with the overall pedagogical >goals?
Contemporary Calculus Through Applications (by the North Carolina School of Science and Mathematics) includes as chapter 4 "Numerical Solutions to Differential Equations" immediately after "Interpreting and Applying the Derivative". In addition, there is a section in chapter 5, "Integrals and the Fundamental Theorem", titled "Differential Equations and Data Analysis".
Eric E. Karnowski Mathematics Editor Janson Publications, Inc.