Fall 2014 Classes:

251, 430

Courses taught in the past: Pre-Calculus and Calculus Sequences:151, 252,126, 140,  Linear algebra (460) Advanced Calc. 430.

Remember:

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

Links:

- Flash Movies: Chile 07, Chile 05, Korea 05.
- eJMT
- ATCM
- E-mail Me

-Math Applets.

Walker 203; Phone: (540) 831-5232

 

Calculus III - Math 251

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.

Lab 1: Friday of August 29: 11-12 class meets at WR 221; 12-1 class meet at WR 216.

  1. Useful online Calculus textbook.
  2. Sequence and Series 
    • HW for 7.3:  page 453: 5,7,11,13,19-25 odd.
    • More HW for 7.3: 7-27 odd (Integral Test) 41,43,45,49. 51-61 odd (Limit Comparison Test).
  3. Exercises for testing for series. (html file)
  4. Lab 2: The smallest positive integer N, partial sum and a convergent series-Maple.
  5. A summary of all types of tests for series.
  6. HW for 7.4 Alternating Series and Ratio Test: page 463: 1-13 odd; 31-39 odd; 43-53 odd.
  7. HW for 7.5: page 474, #7-15 odd and 19-23 odd.
  8. Practice test from an old test 1.
  9. HW for 7.6: page 483, #7-17 odd. Power Series and Taylor's Series (Maple file).
  10. HW for 7.7: page 489, #1-9 odd; 15-21 odd.
  11. More on Power Series (html)
  12. Integration and derivatives of a power series.
  13. Taylor polynomials (html)
  14. Power Series (Paul's Online Calculus).
  15. **An old test (Do #1(a), 3, 4,5,6,7, 9,10).
  16. Parametric, Polar plots and arc lengths with Maple. (pdf file).
  17. Maple file (arc length and surface area)
  18. Famous Curves (html)
  19. HW 8.1: page 511, 17-27 odd.
  20. HW 8.2: page 519, 45-53 odd, 63,65.
  21. HW 8.3: page 529, 19-33 odd, 53,54.
  22. HW 8.4, page 537, 27, 29, 33, 35, 43, 45.
  23. Polar Graphs (Maple file)
  24. A fish (Maple file)
  25. A hat (Maple file)
  26. **Moving fish (added 2014)
  27. 3d plots
  28. Vector I.(A Maple worksheet)
  29. Vector II.(A Maple worksheet)
  30. Dot Product ( A java applet) 
  31. HW for 9.3, page 573: 25-35 odd, 43, 44.
  32. Java applet on the Cross Product and the area of a parallelogram.
  33. Java applet on the Volume of a parallelepiped spanned by three vectors.
  34. HW for 9.4, page 579: 11,13,15,25,27,29,35.
  35. HW for 9.5, page 589: 15,17,19,25,27,35,37,39,41,43,45,85,87,93.
  36. Maple portion for an old test 1.
  37. Dot and Cross Product with Maple.
  38. Line and Plane with Maple
  39. Quadric Surfaces. (Paul's online).
  40. HW for 9.6, page 599, 1-5, 11-17, 31,33,35.
  41. Basic 3D surfaces. (Maple)
  42. Interesting 3D graphs
  43. An interesting site on plotting using Java applets.
  44. Cylindrical and Spherical Coordinate Systems (Maple).
  45. Cylindrical and Spherical Coordinate Systems (Paul's online).
  46. HW for 9.7: page 606: 3,7,9,11,21,23,29,33,35,36,37,39.
  47. Review for an old test 1 of math 252.
  48. Maple portion for test 1.
  49. Vector Functions (10.1,10.2, and 10.3)
  50. Visualize the relationship among Tangent, Principle Normal and Binormal Vectors.
  51. Visualize the relationship between acceleration and velocity vectors.
  52. Acceleration.
  53. An old Quiz 3
  54. Some materials on Multivariable Calculus.
  55. Dot Product ( A java applet)
  56. Homework for 1/6 and 1/8: page 674, 7-11 odd, 15, 21-24.
  57. Line and Plane with Maple
  58. Interesting 3D graphs.
  59. Cylindrical Coordinate; Spherical Coordinate.
  60. Something from Math 151
  61. Something from Math 152.

Some topics from Math 152:

  1. Some Antiderivatives (Maple file)
  2. Partial Fractions (Maple file)
  3. Numerical Integrations (Maple file)
  4. Integration by parts (Maple file)
  5. Substitution
  6. Finding area between curves (html)
  7. Solid of Revolution (A Maple file)
  8. Arc Lengths
  9. Average value of a function
  10. Moment and center of mass.
  11. Improper Integrals (Maple file)