﻿ Wei-Chi Yang  |  Radford University ### Remember:

Be sure to get all your homework done as soon as possible after class as this will lead to better grades.

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### Calculus IV - Math 252

Topics: *Many Maple files are modified from the department of math at North Carolina State University, my colleagues from Australia, U.S. and others. Some of the Maple files are created by myself.

2. (Review) Finding tangent, normal and binormal vectors with Maple.
3. (Review) Visualize the relationship among Tangent, Principle Normal and Binormal Vectors.
4. (Review) Arc length for a space curve (Maple file). html file.
5. (Review) Curvatures (Maple file) (html file)
6. (Review) Arc length and curvature (html file with a nice java applet)
7. Acceleration, its tangential and normal components (html-do exercises 13.4.1-13.4.6; Maple).
8. (Review) Visualize the relationship between acceleration and velocity vectors.
9. Equations of Planes.
11. Partial solutions to a old quiz.
12. Partial Derivatives (html): visualization (Maple)
13. Review for an old test 1.
14. Chain Rule (html)
15. Directional Derivative and applications-Maple
18. Tangent planes and normal lines (reading)
19. Exterma for functions of two variables (Maple), reading material-html file
20. Lagrange Multiplier (Maple file)
21. An old test- Maple portion.
22. Double Integral I (Maple file)
23. Double Integral II (Maple file)
24. Practices on Double Integrals. (html file)
• Partial solutions to the questions above (Maple file)
25. Double Integrals in Polar Coordinates (html) (Maple file)
26. Practices on double integrations using Cylindrical and Spherical Coordinates (html).
27. Surface Area (Maple) (html)
28. Volumes using cylindrical and spherical coordinates (Maple).
29. Practices on change of variables (html).
30. Vector fields-html; another vector Fields (html).
31. Idea of Divergence of a vector field.
32. Idea of the curl of a vector field.
33. Introduction to conservative vector fields.
34. How to determine if a vector field is conservative (curl =0).
35. Line integral (html)
36. Fundamental Theorem of Line Integrals (html)
37. Green's theorem
38. Idea behind the Stokes' Theorem.
39. Idea behind the divergence theorem.
40. **Java applet for drawing a vector field. (**You might need to add the URL to your Java security setting).
41. Online Multivariable Calculus and Vector Analysis (by Dr. Duane Q. Nykamp)
42. Gradient vector fields and contour map. (Maple file)
43. Online Multivariable Calculus (East Tennessee State University)
44. Paul's Online Math Notes
45. Multivariable Calculus from University of South Dakota.