You might look at McCallum, Hughes-Hallett, Gleason et al., Multivariable Calculus Third Edition, John Wiley & Sons 2002, which consistently uses tables, graphs, and contour diagrams to visualize functions of two variables. McCallum uses level surfaces to help picture functions of three variables. See the first chapter. I highly recommend this book.
I believe McCallum's tables can be produced by J's system verb "table" (z locale); and your plot package is excellent for graphs and contour diagrams. Level surfaces are presently out of reach. McCallum introduces vectors early (second chapter), and verbs to calculate dot and cross products might be helpful. Sorry, I never wrote a cross product verb. Can the plot package show 3-d vectors? Verbs for approximating partial derivatives and integrals of functions of two variables might lend concreteness to the definitions. See the third and fifth chapters for sample calculations, sometimes using information given only in a table. Sorry, you have to write the verbs! Kip Murray Henry Rich wrote: > I am due to teach Calc III for our highschool next year. > > Does anyone have J code to assist in visualizing the concepts of Calc III? > > Henry Rich > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
