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
>
>
>