These are two surfaces used in a lesson published by Margaret Reese (citation below). The lesson gives students the formulas for the surfaces of two "mountains":
f(x,y) = 100 - 2x2 - y2
g(x,y) = 100 + 3x2 - 2y2
Students are then asked to use the use the tools of mutlivariable calculus and differential equations to find (for a given starting point):
When assigning this project, I had students sketch the paths they found on the model.
Project source: Reese, Margaret. Computing Project for Multivariable Calculus. PRIMUS. Vol. 6, Iss. 2, 1996.
| mt1.stl | 398.1KB | |
| mt2.stl | 590.7KB |
