[Edu-sig] How does Python help with Calculus?

[A Jorge Garcia]

My students and I solved last year's AP Calculus exam with python last year for fun! Have a look, http://shadowfaxrant.blogspot.com/2016/06/how-to-part-ii-pythonic-calculus.html
HTH,
AJG

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On Jun 10, 2017, 3:20 PM, at 3:20 PM, kirby urner <kirby.urner at gmail.com> wrote:
>The obvious answer is via Sage and SymPy, which will do differentiation
>and
>integration symbolically to some degree.
>
>http://www.scipy-lectures.org/advanced/sympy.html#differentiation
>
>However even plain old core Python helps in that students get a sense
>of
>functions as top-level citizens. I'm not saying Python is alone in
>providing this.
>
>If the C language could be written:
>
>function func(function f1, function f2):{ }
>
>with type function both eaten and returned, then we could use C for
>this
>kind of thing also.
>
>http://mathforum.org/kb/message.jspa?messageID=10168568  (more on this
>general topic)
>
>The repl below (you may skip modal window) shows my latest slimmed down
>version of Compose, something I introduce to the O'Reilly course as
>well.
>
>https://repl.it/HxMo/2
>
>Function type objects don't ordinarily multiply but what if we want to
>write h = f * g instead of h(x) = f(g(x)).
>
>For one thing, why mention x at this point (the argument object) as
>we're
>simply defining a function, not calling it with an input right?
>
>The Compose class is just the ticket, swallowing and wrapping a
>function
>with a __mul__ API. Now * is your compose operator.  Or use __matmul__
>for
>@ symbol.
>
>Note then, the use of Compose as a class decorator to the same end.
>
>Feel free to recycle this animal in your own lesson plans.  MIT license
>or
>whatever.
>
>Kirby
>
>PS:  one of the Pycon keynotes was about the affordability of nuke
>energy,
>with the claim / calculation that it's less risky to workers than coal.
> I
>didn't have time to go up to the podium after and listen in on the
>conversation. We should have started a BOF.  Simulating / modeling risk
>is
>something I'm into through CERM Academy.  We could start a thread on
>Facebook.
>
>
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>
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