Spring 2015 Classes:

252, 431

Courses taught in the past: Pre-Calculus and Calculus Sequences:151, 251,126, 140,  Linear algebra (460) Advanced Calc. 431.


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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Walker 203; Phone: (540) 831-5232


Calculus IV - Math 252

Course Contract.
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.
  1. (Review) Finding tangent, normal and binormal vectors with Maple.
  2. (Review) Visualize the relationship among Tangent, Principle Normal and Binormal Vectors.
  3. (Review) Visualize the relationship between acceleration and velocity vectors.
  4. *Arc length for a space curve (Maple file). html file.
  5. Curvatures (Maple file) (html file)
  6. *Arc length and curvature (html file with a nice java applet)
  7. Tangent Vector, Curvature and Acceleration (Maple file).An html file.
  8. Acceleration, its tangential and normal components (html; Maple). Visualize the relationship between acceleration and velocity vectors.
  9. Level Curves-Maple file. html file(11.1)
  10. Limits and continuity-Maple, html file
  11. Partial solutions to a old quiz.
  12. Partial Derivatives (html)
  13. Review for an old test 1.
  14. A nice Java applet for visualizing partial derivatives.
  15. Chain Rule (html)
  16. Directional Derivative and applications-Maple
  17. Tangent planes and normal lines (reading)
    1. Gradient Vector, Tangent Plane and etc. (Maple)
    2. homework: page 710, 3-9 odd, 11-21 odd.
  18. Gradient vector fields and contour map. (Maple file)
  19. Exterma for functions of two variables (Maple), reading material-html file
  20. Practices on Max and Min for two variables.
  21. Lagrange Multiplier (Maple file)
  22. An old test- Maple portion.
  23. Double Integral I (Maple file)
  24. Double Integral II (Maple file)
  25. Practices on Double Integrals. (html file)
    • Partial solutions to the questions above (Maple file)
  26. Double Integrals in Polar Coordinates. (Maple file)
  27. **Review for final exam.
  28. Visualizing gradients, level curves and etc. with Java applets.
  29. About intersections of Cylinders
  30. Surface Area (Maple)
  31. Online Multivariable Calculus and Vector Analysis (by Dr. Duane Q. Nykamp)
  32. *Conservative or non-conservative vector fields in 2D (html)
  33. Online Multivariable Calculus (East Tennessee State University)
  34. Paul's Online Math Notes
  35. Multivariable Calculus from University of South Dakota.
  36. YouTubes: