Desmos Demonstrations
class examples demonstrations/illustrations using the 3D grapher Desmos
prepared by Prof. Girardi
Math 241
Spring 2025

Current Desmos Demonstrations    (just click on the linked number)

1. 12.1.1 Cartesian Coordinate System (3D space)  (intro. to 3D xyz coordinate axes and coordinate planes)
2. 12.1.2 Plotting points 3D Cartesian/Rectangular xyz-space
3. 12.1.3 Equalities and Inequalites in 3D  (eg, x+y=3 vs x+y ≤ 3)
4. 12.1.4 Paper Towel roll  
5. 12.1.5 spheres, distance, midpoint
6. 12.6.1 Examples of Cylinders
7. 12.6.2 Cylinders and Traces
8. 12.6.3 Ellipsoid via a lot of traces planes z = (a constant)
9. 12.6.4 Ellipsoid via a few traces by planes parallel to coordinate planes.
10. 12.6.5 Ellipsoid via a lot of traces by planes parallel to coordinate planes (to reinforce above Desmos Demo).
11. 12.6.6 Hyperpolic Paraboloid (saddle) and traces.
12. 12.2.1 2D moving vetcors to standard position
13. 12.2.2 3D moving vetcors to standard position
14. 12.2.3 vector algebra
15. 13.1.1 Helix (and the Grinch)
16. 13.1.2 tangent lines to (elliptic) curves
17. 13.3.1 Review: approximate area by Riemann sums
18. 13.3.2 approximate (arc) length by polygonal path (of line segments)
19. 13.4.1 Helix path: Unit Tangent Vector and Unit Principle Normal Vector
20. 14.1.1 Level Sets
21. 14.2.1 Two-path test for non-existence of limits
22. 14.3.1 geometric interpretation of partial derivatives (hemisphere)
23. 14.5.1 geometric interpretation of directional derivatives (cone)
24. 14.5.2 Directional Derivatives: gradient vector and level sets (cone)
25. 14.7.1+2 Max/Min: Ex. 1 and Ex 2.
26. 14.7.3 Max/Min: Ex. 3: tooth
27. 15.1.1 Review Definite Integral of function y=f(x) of one variable.
28. 15.1.2 Double Integral of function z=f(x,y): what does it represent?
29. 16.4.1 16.4: For Exerices 16.4.33 astroid

Empty Desmos Pages  (in case you want to use Desmos yourself). The ⊕ indicates link should open in new tab/window.
3D Desmos Grapher⊕	2D Desmos Grapher⊕ can label items

Past Desmos Demonstrations

1. 12.1.2 24s Visualizing equations and surfaces. (24S. 24F MadeIntoPaperTowelRoll=needsSplitingUp)
2. 13.1.1 Helix and Grinch (24S. also has < cos(5t), sin(5t), t >)
3. 14.5.1 Gradient (24S. hemisphere)