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[apple scitech] Grapher learning/documentation questions



Hi folks,

I've poked around on the list archives, and I think I'm in the right place to ask this question, but forgive me if not; I'd appreciate any guidance you can give me.

I'm trying to give myself some kind of a math (re-)education starting with the Calculus concepts I missed in college. Towards that goal, I've been attempting to use the Grapher application that comes with Mac OS X. I'm feeling pretty stupid about it though, because many rudimentary things I try to do don't work. I've also found the documentation for Grapher to be confusing, at least from the perspective of a novice.

For example, let's say I want to create an animation. I want to see the effect of using different values of n on the equation

y = x^n

So, I create the parameter

n := {0 ... 5}

Right off the bat, I know there is an assumption I'm making here that is incorrect--I get six different equations all graphed individually, but what I'd like to see is the animation--interpolated positions--of the single graph of the function y = x^n through those values of n. As far as creating an animation, I assume that I can follow the instructions offered by the Grapher docs:

"Select a parameter definition in the Equations list, and choose Equation > Animate Parameter.

Click the Settings button to choose the minimum and maximum value for the parameter, the number of steps between the minimum and maximum, and the speed of the animation.

Click the Play button to preview the animation.

Click the Create Movie button to create a QuickTime movie of the animation.

Choose File > Save to save that animation to disk."

I have an equation and a parameter defined and selected (I thought)...but the "animate parameter" option is grayed out. Hmm. Obviously an animation's parameter must take a specific form or be applied to a specific type of equation, but beats me what that could be. I'm also assuming that, if my general math knowledge was greater, this might be more obvious...is this the case?

This is just one example--I've experienced this with other features too. Apparently this application just doesn't work the way I think it should, but I'd like to be disabused of my assumptions so I can think of things in the right way. However, I can't find anything substantial out there online to help me. I've got the basic "Learning Math" doc from the old Pacific Tech site (http://www.pacifict.com/Books.html) but that's hit or miss; enough things have changed since that was topical that it can be a frustrating experience to try and negotiate the discrepancies. I haven't found much on the Apple site either. And, the examples seem difficult to reverse engineer; I can't figure out how the animation was created in the "Variable Parameter" example even when I examine it and then try and re-create each element of that example from scratch in a new window...I'm dense I guess!

I'd really love a tutorial or something more in depth than the help files that come with Grapher. Can anyone point me towards the right docs, or, if I'm out of luck, guide me towards the solution to my specific example above?

All help is greatly appreciated--thank you!

Best,
Dave

P.S. If it matters, I'm using Grapher 2.0 on Mac OS X 10.5.2 (Leopard)
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