Spring 2011 Classes:

152, 252, 431

Courses taught in the past: Pre-Calculus and Calculus Sequences:151, 252,126, 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. Vector Functions and Space Curves (html)
  2. Vector Functions (10.1,10.2, and 10.3) (Maple files)
  3. Finding tangent, normal and binormal vectors with Maple.
  4. Visualize the relationship among Tangent, Principle Normal and Binormal Vectors.
  5. Visualize the relationship between acceleration and velocity vectors.
  6. Tangent Vector, Curvature and Acceleration.
  7. Level Curves. (11.1)
  8. Limits and continuity.
  9. Partial solutions to quiz 2.
  10. Partial Derivatives (computation)
  11. Partial Derivatives (visualization)
  12. Review for test 2.
  13. Directional Derivative and applications:
  14. Gradient vector fields and contour map. (Maple file)
  15. Gradient Vector, Tangent Plane and etc.
  16. Exterma for functions of two variables.
  17. Practices on Max and Min for two variables.
  18. Lagrange Multiplier (Maple file)
  19. Test 3 Maple portion.
  20. Double Integral I (Maple file)
  21. Double Integral II (Maple file)
  22. Practices on Double Integrals. (html file)
    • Partial solutions to the questions above (Maple file)
  23. Double Integrals in Polar Coordinates. (Maple file)
  24. **Review for final exam.
  25. Visualizing gradients, level curves and etc. with Java applets.
  26. About intersections of Cylinders
  27. Surface Area (Maple)
  28. Online Multivariable Calculus and Vector Analysis (by Dr. Duane Q. Nykamp)
  29. *Conservative or non-conservative vector fields in 2D (html)
  30. Online Multivariable Calculus (East Tennessee State University)
  31. Paul's Online Math Notes
  32. Multivariable Calculus from University of South Dakota.
  33. YouTubes: