﻿ Wei-Chi Yang  |  Radford University

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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.
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. HW for 7.8: page 500, 21-27 odd, 31, 37, 51.
16. Practices on 7.6-7.8.
17. Parametric, Polar plots and arc lengths with Maple. (pdf file).
18. (Lab October 9) Maple file (arc length and surface area)
19. Famous Curves (html)
20. HW 8.1: page 511, 17-27 odd.
21. HW 8.2: page 519, 1-13 odd, 45-53 odd, 63,65.
22. HW 8.3: page 529, 19-33 odd, 53,54.
23. HW 8.4, page 537, 27, 29, 33, 35, 43, 45.
24. Practice Test 2.
25. Polar Graphs (Maple file)
26. (Lab October 9) Some nice animations about surface of revolution
27. (Lab October 9) A fish (Maple file)
28. (Lab October 9) A hat (Maple file)
30. 3d plots
31. Vector(A Maple worksheet)
32. (October 16) HW 9.1: page 557, 31-39 odd, 45,47.
33. (October 16) HW 9.2: page 564, 19-23 odd, 29,41,43.
34. (October 16) Dot Product ( A java applet)
35. HW for 9.3, page 573: 25-35 odd.
36. Java applet on the Cross Product and the area of a parallelogram.
37. Java applet on the Volume of a parallelepiped spanned by three vectors.
38. HW for 9.4, page 579: 11,13,15,25,27,29,35.36.
39. HW for 9.5, page 589: 15,17,19,25,27,35,37,39,41,43,45,85,87,93.
40. Dot and Cross Product with Maple.
41. Line and Plane with Maple
42. Maple portion for an old test involving Section 9.6: Surfaces in space.
43. Quadric Surfaces-from Paul's online) (our text section 9.6). .
44. HW for 9.6, page 599, 1-5, 11-17, 31,33,35.
45. Basic 3D surfaces. (Maple)
46. Interesting 3D graphs
47. An interesting site on plotting using Java applets.
48. (November 6)Cylindrical and Spherical Coordinate Systems (Maple).
49. (November 6)Cylindrical and Spherical Coordinate Systems (Paul's online).
50. (Novmeber 6)A demo of Sperical Coordinate.
51. Maple portion for problems involving cylindrical and spherical coordinates.
52. HW for 9.7: page 606: 3,7,9,11,21,23,29,33,35,36,37,39.
53. November 6 Review sheet for test 3.
54. HW for 10.1: page 614: 13-21 odd, 41,43.
55. HW for 10.2: page 621: 35, 43,45,47,53,55.
56. HW for 10.3: page 629: 1-13 odd, 19, 21.
57. An old review sheet for test 4.
58. Vector Functions (10.1,10.2, and 10.3)
59. Visualize the relationship between acceleration and velocity vectors.
60. Acceleration, unit tangent, unit principal normal and etc.
61. Arc length for a space curve (Maple).
62. Visualize the relationship among Tangent, Principle Normal and Binormal Vectors.
63. Some materials on Multivariable Calculus.
64. Something from Math 151
65. 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)