Calculus surfaces

Discussion in 'Feature this!' started by henryseg, Jan 24, 2013.

  1. henryseg
    henryseg Well-Known Member
    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.

    calculus_surfaces_800.jpg
     
    Last edited: Jan 24, 2013
  2. CactusBones
    CactusBones New Member
  3. henryseg
    henryseg Well-Known Member
  4. natalia
    natalia New Member
    Wow awesome! I LOVE applied mathematics. I bet your students think you're the best teacher!

    And from my home town too :) Hi Melbourne!
     
  5. tivnanr
    tivnanr New Member
    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.
     
    Last edited: Feb 9, 2013
  6. henryseg
    henryseg Well-Known Member
    It's a sheet of overhead transparency (that someone dug out of some forgotten closet!) held together with sticky tape.
     
  7. josemi
    josemi New Member
    Congrats , They look amazing.
    What size is the diameter of the wires in the large ones ?
    I am considering printing a wireframe statue.



     
    Last edited: Mar 30, 2013
  8. henryseg
    henryseg Well-Known Member
    Thanks josemi,

    The wires on the big models are 3mm diameter.