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Re: Re: learning calculus through mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107962] Re: [mg107936] Re: [mg107880] learning calculus through mathematica
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Thu, 4 Mar 2010 05:26:22 -0500 (EST)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <201003011311.IAA06751@smc.vnet.net> <201003031051.FAA20316@smc.vnet.net>
  • Reply-to: murray at math.umass.edu

Most Mathematica materials for calculus are just that: materials to use 
for calculus. In short, "add-ons" to a standard calculus course.

MathEverywhere's "Calculus&Mathematica", on the other hand, represents 
a rethinking of what calculus is about and how to teach it.  And its 
presentation THROUGH Mathematica makes it especially amenable to use for 
self-study.

Another possibility I didn't mention in my original post is Keith 
Stroyan's "Calculus: the Language of Change" which closely integrates 
Mathematica into the development and makes substantial use of modeling 
as motivation from the very start.  (That's insteaad of the usual 
calculus text approach of perhaps nominally mentioning some "real-world" 
application, then going off doing all the relevant math, and finally 
returning to applying that math.)  Thus it introduces the derivative in 
the context of modeling an epidemic by the SIR model.

On 3/3/2010 5:51 AM, Canopus56 wrote:
> There a number of college texts of that can be located using Amazon.com and the keyword search "Calculus mathematica".  Not suprisingly, one of the uses of Mathematica (and other systems) is in college analytic geometry and calculus courses.
>
> http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Dstripbooks&field-keywords=Calculus+mathematica
>
> I have:
> 1) Kevin O'Conner, Calculus Labs for Mathematica (2008).  This is a short 120 page phamplet that integrates with the course textbook:
> David William Cohen (Author), James M. Henle (Author), Calculus: The Language of Change (2004)
>
> The contents of both can be previewed on Amazon.com.
>
> 2) Bruce F. Torrence, The Student's Introduction to MATHEMATICA : A Handbook for Precalculus, Calculus, and Linear Algebra. (2009)
>
> O'Conner was simplier and more direct than Torrence.
>
> Also look at the Wolfram Library Archive for sample notebooks.
> http://library.wolfram.com/
>
> Using "calculus" as a keyword, returns an overwhelming 962 cites to books and sample notebooks.  Alot of the references are outdated, that is they have deprecated urls or are buit for older versions of Mathematica.
>
> There is also a calculus index on the same Wolfram Library with 182 entries.  It is easier to read and review.
> http://library.wolfram.com/infocenter/BySubject/Mathematics/CalculusAnalysis/Calculus/
>
> Also courseware - 25 entries
> http://library.wolfram.com/infocenter/Courseware/Mathematics/CalculusAnalysis/Calculus/
>
> See also the demos library - 15 entries
> http://library.wolfram.com/infocenter/Demos/Mathematics/CalculusAnalysis/
>
> - Kurt
>
> From: j l<lapse23 at hotmail.com>
> To: mathgroup at smc.vnet.net
> Sent: Mon, March 1, 2010 6:11:03 AM
> Subject: [mg107936] [mg107880] learning calculus through mathematica
>
> Hi there,
>
> I am new to Mathematica and I would like to use it as a way to learn calculus (alongside some books that I have).  Does anyone have a good reference page or some suggestions about how to go about doing this?
>
> Sorry for the n00bish question; I'm mostly just trying to teach myself more math.
>
> Thanks
>

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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