Jorge and Kirby, Great ideas! You're preaching to the choir here. Especially the line "Why don't we toss out the Graphing Calculators and just learn a little bit of coding?" I spoke with the math department head at a rich private High School nearby who finished proving her school didn't need my techy, codey nonsense by saying, "We already use technology in our math classes: the TI-84."
And once you have some practice creating functions to calculate derivatives and integrals, you can get fancy and personalize the notation like Kirby showed. The programmer can do anything, with a toolbox like Python! Peter On Sat, Jun 10, 2017 at 3:17 PM, <edu-sig-requ...@python.org> wrote: > Send Edu-sig mailing list submissions to > edu-sig@python.org > > To subscribe or unsubscribe via the World Wide Web, visit > https://mail.python.org/mailman/listinfo/edu-sig > or, via email, send a message with subject or body 'help' to > edu-sig-requ...@python.org > > You can reach the person managing the list at > edu-sig-ow...@python.org > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Edu-sig digest..." > > > Today's Topics: > > 1. How does Python help with Calculus? (kirby urner) > 2. Re: How does Python help with Calculus? (A Jorge Garcia) > 3. Re: How does Python help with Calculus? (A. Jorge Garcia) > 4. Re: How does Python help with Calculus? (A. Jorge Garcia) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Sat, 10 Jun 2017 12:19:51 -0700 > From: kirby urner <kirby.ur...@gmail.com> > To: "edu-sig@python.org" <edu-sig@python.org> > Subject: [Edu-sig] How does Python help with Calculus? > Message-ID: > <CAPJgG3QwdBNs8vjukn02oSxqfg4DgrmgooCYm8rYHqGy_o7EAA@mail. > gmail.com> > Content-Type: text/plain; charset="utf-8" > > 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. > -------------- next part -------------- > An HTML attachment was scrubbed... > URL: <http://mail.python.org/pipermail/edu-sig/attachments/ > 20170610/0585f449/attachment-0001.html> > > ------------------------------ > > Message: 2 > Date: Sat, 10 Jun 2017 17:09:25 -0400 > From: A Jorge Garcia <calcp...@aol.com> > To: kirby urner <kirby.ur...@gmail.com> > Cc: A Jorge Garcia via Edu-sig <edu-sig@python.org> > Subject: Re: [Edu-sig] How does Python help with Calculus? > Message-ID: <37ff932b-9ee5-46ed-a8cf-b405a61cd...@aol.com> > Content-Type: text/plain; charset="utf-8" > > 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 > > ?Sent from BlueMail ? > > On Jun 10, 2017, 3:20 PM, at 3:20 PM, kirby urner <kirby.ur...@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. > > > > > >------------------------------------------------------------------------ > > > >_______________________________________________ > >Edu-sig mailing list > >Edu-sig@python.org > >https://mail.python.org/mailman/listinfo/edu-sig > -------------- next part -------------- > An HTML attachment was scrubbed... > URL: <http://mail.python.org/pipermail/edu-sig/attachments/ > 20170610/94dece1c/attachment-0001.html> > > ------------------------------ > > Message: 3 > Date: Sat, 10 Jun 2017 18:02:14 -0400 > From: "A. Jorge Garcia" <calcp...@aol.com> > To: kirby.ur...@gmail.com > Cc: edu-sig@python.org > Subject: Re: [Edu-sig] How does Python help with Calculus? > Message-ID: <15c94076f34-2b9c-4...@webprd-a28.mail.aol.com> > Content-Type: text/plain; charset="utf-8" > > FYI, here's my YouTube playlist including final projects for AP Calculus > and AP Computer Science from 2012-2016. Screencasts for 2017 will be > forthcoming soon!? > https://www.youtube.com/playlist?list=PLL956Pn2cKSjxPBTcG2XYzNOB5tQ1txgx > > This year we'll be using SMC (Sage Math Cloud) https://cloud.sagemath.com, > recently renamed https://cocalc.com. CoCalc includes everything you need > to code in the cloud. I think it's on GCP (Google Compute Platform) as > opposed to https://repl.it, https://cs50.io and https://c9.io which are > on AWS (Amazon Web Services). On Cocalc you can make 3 different types of > documents: SAGE WorkSheet, Jupyter NoteBook and LaTEX Documents. > > Also, here's my 2016 playlist for the AP Calculus exam comparing the use > of TI84C, TI92, TI nSpire CX CAS, SageCell and python! > https://www.youtube.com/playlist?list=PLL956Pn2cKSje0HeHkR38C8BVWbTeOFUy > > HTH,? > A. Jorge Garcia? > Applied Math, Physics & CS? > http://shadowfaxrant.blogspot.com? > http://www.youtube.com/calcpage2009? > 2013-2017 NYS Secondary Math http://PAEMST.org Nominee > > -------------- next part -------------- > An HTML attachment was scrubbed... > URL: <http://mail.python.org/pipermail/edu-sig/attachments/ > 20170610/76e4d32a/attachment-0001.html> > > ------------------------------ > > Message: 4 > Date: Sat, 10 Jun 2017 18:12:07 -0400 > From: "A. Jorge Garcia" <calcp...@aol.com> > To: kirby.ur...@gmail.com > Cc: edu-sig@python.org > Subject: Re: [Edu-sig] How does Python help with Calculus? > Message-ID: <15c94107c2d-2b9c-4...@webprd-a28.mail.aol.com> > Content-Type: text/plain; charset="utf-8" > > (SRY, TYPOS FIXED) > FYI, here's my YouTube playlist including final projects for AP Calculus > and AP Computer Science from 2012-2016. Screencasts for 2017 will be > forthcoming soon!? > https://www.youtube.com/playlist?list=PLL956Pn2cKSjxPBTcG2XYzNOB5tQ1txgx > > This year we'll be using SMC (Sage Math Cloud)?https://cloud.sagemath.com, > recently renamed?https://cocalc.com. CoCalc includes everything you need > to code in the cloud. I think it's on GCP (Google Compute Platform) as > opposed to?https://repl.it,?https://cs50.io?and?https://c9.io?which are > on AWS (Amazon Web Services). On Cocalc you can make 3 different types of > documents: SAGE WorkSheet, Jupyter NoteBook and LaTEX Documents. > > Also, here's my 2016 playlist for the AP Calculus exam comparing the use > of TI84C, TI92, TI nSpire CX CAS, SageCell and python! > https://www.youtube.com/playlist?list=PLL956Pn2cKSje0HeHkR38C8BVWbTeOFUy > > HTH,? > A. Jorge Garcia? > Applied Math, Physics & CS? > http://shadowfaxrant.blogspot.com?; > http://www.youtube.com/calcpage2009?; > 2013-2017 NYS Secondary Math?http://PAEMST.org?Nominee > -------------- next part -------------- > An HTML attachment was scrubbed... > URL: <http://mail.python.org/pipermail/edu-sig/attachments/ > 20170610/3ad047d8/attachment.html> > > ------------------------------ > > Subject: Digest Footer > > _______________________________________________ > Edu-sig mailing list > Edu-sig@python.org > https://mail.python.org/mailman/listinfo/edu-sig > > > ------------------------------ > > End of Edu-sig Digest, Vol 167, Issue 1 > *************************************** >
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