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Geogebra & Javascript Activities
We can visualize some concepts using the following activities.
CalcPlot3D is a powerful app that can be used to demonstrate many concepts in multivariable calculus.
- CalcPlot3D, by Paul Seeburger
- https://c3d.libretexts.org/CalcPlot3D/index.html - links to CalcPlot3D and other resources.
The 3-D version of Geogebra and Geogebra apps designed for particular aspects of multivariable calculus are linked in this list:
- GeoGebra 3-D
- Graphing functions of two variables, by Judy Munshower
- Cross sections with x fixed, by Judy Munshower
- Cross sections with y fixed, by Judy Munshower
- Contour diagrams of functions of two variables, by Judy Munshower
- Contour plot and surface, by Mike May
- Tracing out surfaces in 3D, by Lenore Horner
- Vector Projections, by Tim Brzezinski
- Cross Product, by Tim Brzezinski
- Volume of a Parallelepiped, by Chris Mizell
- Partial derivatives, by Tim Brzezinski
- Partial derivatives for quadratic functions, by Joseph Manthey
- Tangent planes, by Kevin Hopkins
- Directional derivative, by Alfredo Sánchez Alberca
- Gradient fields, by Andreas Lindner
- Taylor polynomials for functions of two variables, by Andreas Lindner
- A Lagrange multiplier example, by Yin Bon Ku
- Double integrals, by Yin Bon Ku
- 2-D Riemann sum, by Lenore Horner
- Iterated double integrals, by Kristen Beck
- Double integral over Type I region, by Yin Bon Ku
- Spherical Coordinates Demonstration tool, by Norm Prokup
- Curve in 3D, by Yin Bon Ku
- Motion in space, by tenkosky
- Vector fields (in the plane), by Juan Carlos Ponce Campuzano
- Vector fields 3D, by Juan Carlos Ponce Campuzano
- The Flow of a vector field, by Kim Rescorla
- Vektorfeld im R3, by Andreas Lindner (Vector field and flow lines)
- Curvilinear integral of a vector field in R3, by Andreas Lindner
- Surface integral of a vector field over a surface, by Juan Carlos Ponce Campuzano
- Divergence and curl calculator, by Juan Carlos Ponce Campuzano
- Divergence and curl of 3D vector field, by Lenore Horner
- Parametric Surfaces (sample surfaces), by Juan Carlos Ponce Campuzano
- Parametric Surfaces (generate your own surfaces), by Lenore Horner
- Jacobian Locus, by Joseph Manthey
- Jacobian, by Joseph Manthey
- Jacobian Animation, by Joseph Manthey
- Geometric interpretation of the Jacobian, by Juan Carlos Ponce Campuzano