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Calculus surfaces [message #60649] Thu, 24 January 2013 07:30 UTC Go to next message
avatar henryseg  is currently offline henryseg
Messages: 224
Registered: July 2008
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This is a collection of common example surfaces from classes in multivariable calculus. Students in these classes often find it difficult to visualise a surface given the equation for it, but these models will make it a lot easier to see what's going on! They show the contour lines when you slice each surface with horizontal planes, together with eight radial curves. The small versions of the surfaces are available as a set, and the large versions individually. These are currently in use at Swinburne University of Technology in Melbourne, Australia.

YouTube video of the small surfaces.
YouTube video of the large surfaces.

index.php?t=getfile&id=26064&private=0

[Updated on: Thu, 24 January 2013 07:35 UTC]

Re: Calculus surfaces [message #61042 is a reply to message #60649 ] Tue, 29 January 2013 23:28 UTC Go to previous messageGo to next message
avatar CactusBones  is currently offline CactusBones
Messages: 54
Registered: September 2010
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Cool!
Re: Calculus surfaces [message #61094 is a reply to message #61042 ] Thu, 31 January 2013 04:05 UTC Go to previous messageGo to next message
avatar henryseg  is currently offline henryseg
Messages: 224
Registered: July 2008
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Thanks CactusBones!
Re: Calculus surfaces [message #61211 is a reply to message #60649 ] Fri, 01 February 2013 21:41 UTC Go to previous messageGo to next message
avatar natalia  is currently offline natalia
Messages: 874
Registered: September 2008
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Wow awesome! I LOVE applied mathematics. I bet your students think you're the best teacher!

And from my home town too Smile Hi Melbourne!


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Re: Calculus surfaces [message #61678 is a reply to message #61211 ] Sat, 09 February 2013 16:14 UTC Go to previous messageGo to next message
avatar tivnanr  is currently offline tivnanr
Messages: 12
Registered: September 2010
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Such a great idea. These models should make calculus surfaces much more accessible for students by giving a visual and kinesthetic perspective. What are you using to support the hyperboloids? I can't quite make it out.

[Updated on: Sat, 09 February 2013 16:22 UTC]

Re: Calculus surfaces [message #61679 is a reply to message #61678 ] Sat, 09 February 2013 16:17 UTC Go to previous messageGo to next message
avatar henryseg  is currently offline henryseg
Messages: 224
Registered: July 2008
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It's a sheet of overhead transparency (that someone dug out of some forgotten closet!) held together with sticky tape.
Re: Calculus surfaces [message #65202 is a reply to message #60649 ] Sat, 30 March 2013 20:58 UTC Go to previous messageGo to next message
avatar josemi  is currently offline josemi
Messages: 5
Registered: January 2009
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Junior Member
Congrats , They look amazing.
What size is the diameter of the wires in the large ones ?
I am considering printing a wireframe statue.



[Updated on: Sat, 30 March 2013 20:59 UTC]

Re: Calculus surfaces [message #65208 is a reply to message #65202 ] Sat, 30 March 2013 22:31 UTC Go to previous message
avatar henryseg  is currently offline henryseg
Messages: 224
Registered: July 2008
Go to my shop
Senior Member
Thanks josemi,

The wires on the big models are 3mm diameter.

 
   
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