Multivariable Calculus

Erik Jacobsen, Jul 20, 2014

Visualizations and other useful material for multivariable calculus, sometimes called Calculus III and IV.


  • 1. Elliptic Cone
  • 2. Ellipsoid
  • 3. Elliptic Paraboloid
  • 4. Hyperboloid Of One Sheet
  • 5. Hyperboloid of Two Sheets
  • 6. Hyperbolic Paraboloid
  • 7. Vector Projection
  • 8. Lines By Vector Addition
  • 9. Cross Product Area of a Parallelogram
  • 10. Section 13.1-2: Space Curves
  • 11. Section 12.1-Basic Planes
  • 12. Section 12.1-Points in 3D
  • 13. Section 12.1-Distance Formula
  • 14. Section 12.1-Spheres
  • 15. Helix Graph of a Vector-Valued Function
  • 16. Analyze the velocity and acceleration of a particle.
  • 17. Viviani's Curve - Velocity and Acceleration Vectors
  • 18. 14.3 Partial Derivatives
  • 19. 2D Vector Fields
  • 20. Vector Fields, Divergence, Curl, and Line Integrals
  • 21. Level Curves
  • 22. Circle Of Curvature For A Parabolic Path

1.

Elliptic Cone

[math]\displaystyle\frac{x^2}{a^2}+\frac{y^2}{b^2}=\frac{z^2}{c^2}[/math]

[b]Tips:[/b] Shift+Scroll to zoom. Shift+Drag to move. Shift+Right Click+Drag to rotate.
– Theeradech Mookum

2.

–

3.

–

4.

–

5.

–

6.

–

7.

–

8.

–

9.

–

10.

–

11.

–

12.

–

13.

–

14.

–

15.

–

16.

–

17.

–

18.

–

19.

–

20.

–

21.

–

22.

–

Information