Re: slope fields

*To*: mathgroup at smc.vnet.net*Subject*: [mg40179] Re: slope fields*From*: Selwyn Hollis <selwynh at earthlink.net>*Date*: Tue, 25 Mar 2003 03:03:58 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Tom, Here's a little function that should be helpful: << Graphics`PlotField`; PlotSlopeField[expr_, {t_,t1_,t2_}, {y_,y1_,y2_}, opts___?OptionQ] := PlotVectorField[{1,expr}, {t,t1,t2}, {y,y1,y2}, opts, ScaleFunction->(1&), Axes->True] Examples: PlotSlopeField[ t - y, {t, 0, 2}, {y, 0, 2}] PlotSlopeField[t - y, {t, 0, 2}, {y, 0, 2}, PlotPoints -> {9,7}, ScaleFactor->.2, ColorFunction->(Hue[0]&)] ----- Selwyn Hollis http://www.math.armstrong.edu/faculty/hollis On Monday, March 24, 2003, at 04:28 AM, Tom wrote: > I am not a frequent user of Mathematica and many of you have assisted > me > in the past with implicit plots and vertical tangent lines etc. > > Now I have to teach slope fields to my AP Calculus students, and while > we can see them on the TI calculators, I would like to generate some > using Mathematica so I can make some good print-outs. I have used > vector plots in the past to illustrate the main ideas, but they "don't > look like the slope fields" in texts and on AP's. > > Can anyone help me on this? > > Thanks so much. > > Tom Moriarty > > >