Math 223
Calculus III

Instructor

Ernest Boyd, Wissink 273, 389-1452
Office Hours:

Textbook

Calculus by Salas, Hille and Etgen, 9th ed.

Course Content

Multi-variable calculus. Topics include functions of two and three variables, partial derivatives, multiple integrals and integration in vector fields. In the text we will study chapters 13 - 17. Familiarity with the computer algebra system Mathematica will also be developed. No previous experience with Mathematica is assumed.

Schedule

9:00 - 9:50 am, MTRF, Wissink Academic Computer Center Room 116.
No classes on Sep. 4, Oct. 27, and Nov. 23-24.

Tests

Tuesday, Sep. 26, Tuesday, Oct. 24, and Tuesday, Nov. 21.

Final exam

Monday, Dec. 11, 8:00 - 10:00 am

Grading Policy

Each test will be graded on its own scale normalized to 100%. The final will also be graded on a scale normalized to 100%. All of the homework collected will be totaled and graded as one test. At the end of the semester the five grades will be averaged and compared to the average of the scales. Grading will reflect the mathematical correctness of the answer and the quality of the presentation in terms of completeness and organization. Late assignments will be penalized. Assignments over one week late will receive no credit. Active participation in the class discussions will also be factored into the evaluations. Make-up tests will be given only in special cases, when an excused absence has been prearranged. Incompletes will follow the university's policy as expressed in the student bulletins and the faculty handbook. No incomplete will be given to repeat the entire course.

MSU provides students with disabilities reasonable accommodation to participate in educational programs, activities or services. Students with disabilities requiring accommodation to participate in class activities or meet course requirements should first register with the Office of Disability Services, located in 0132 Memorial Library, telephone 389-2825, TDD 711 and then contact me as soon as possible.



Mathematica Supplements

  1. Vector Dot and Cross Products
  2. Vector Calculus
  3. Arc Length
  4. Plotting a surface z = f(x,y)
  5. Continuity of z = f(x, y)
  6. Ellipsoid
  7. Hyperboloid of One Sheet
  8. Hyperboloid of Two Sheets
  9. Directional Derivative
  10. Extrema of f(x, y)
  11. Lagrange Multipliers
  12. Integration of z = f(x,y) over domain R
  13. Plotting in Polar Coordinates
  14. Cylindrical Coordinates
  15. Spherical Coordinates
  16. Jacobian for the Change of Variables Theorem
  17. Cycloid
  18. Vector Field
  19. Divergence and Curl


Homework Assignments

  1. Page 769 #13, 14, 25, 26, 35, 46, 59.
  2. Page 775 #7, 9, 29.
  3. For r(t) = t3i + t2j prove that r(t) and r'(t) are parallel only at t = 0. Hand in this problem on Tuesday, Sep. 5.
  4. Page 785 #16, 17, 33, 34a. Hand in #16 and 34a on Friday, Sep. 8.
  5. Page 792 #3, 4, 5, 6, 20, 30. Hand in #20 and 30 on Friday, Sep. 8. Hint on #20 is to let t = ex.
  6. Page 823 #5, 7, 9. Page 836 #5, 9, 13.
  7. Page 829 #15, 19, 25, 27, 29, 31, 47.
  8. Page 858 #26-28, 30.
  9. Page 845 #15, 19, 25, 46, 54. Hand in #46 and 54 on Tuesday, Sep. 12.
  10. Page 858 #7, 19.
  11. Page 859 Project 14.6. Hand in Problems 3 and 4 on Thursday, Sep. 14.
  12. Page 866 #5, 13, 23, 27.
  13. Page 889 #1, 7, 9, 19, 25, 27, 28, 45, 47, 51. Hand in this problem on Monday, Sep. 18.
  14. Page 877 #2, 3, 13, 19, 24, 26.
  15. Page 902 #5, 11, 15, 23, 29, 35.
  16. Page 910 #9, 25, 27, 29, 31.
  17. Page 916 #29, 33, 37, 40.
  18. Page 924 #7, 11, 17, 20.
  19. Review
  20. Page 966 #13, 17, 19, 21, 29, 37, 38, 40, 42, 43, 49. Hand in #38 and 40 on Thursday, Oct. 5.
  21. Page 975 #13, 14, 24, 25, 27, 28. Hand in #24 on Monday, Oct. 9.
  22. Page 981 #8, 9, 15. Hand in the following problem on Tuesday, Oct. 10. Find the radius of gyration with respect to the origin for the region 1 ≤ r ≤ 2 cos θ with density inversely proportional to the distance from the origin.
  23. Page 996 #21-26, 29, 35, 50.
  24. Page 1003 #22-24, 31-34.
  25. Page 1010 #1-14, 25, 27, 31, 34, 37.
  26. Hand in these problems on Tuesday, Oct. 17.
  27. Page 1016 #17, 21, 24, 25.
  28. Page 1016 #25
  29. Review
  30. Page 1026 #3, 9, 11, 16, 31.
  31. Page 938 #14, 15, 19.
  32. Page 1031 #3, 13, 17, 22.
  33. Hand in this problem on Friday, Nov. 3.
  34. Page 1040 #9-12.
  35. Page 1048 #9, 14, 22, 27, 28. Hand in #14, 22 on Friday, Nov. 10.
  36. Page 1062 #23, 24, 27, 32. Hand in #24 on Tuesday, Nov. 14.
  37. Page 1072 #7, 9, 11, 20, 26, 31. Hand in #20 (Also find the center of mass) on Thursday, Nov. 16.
  38. Review
  39. Page 1078 #16, 20.
  40. Review of divergence and curl
  41. Page 1084 #9, 11, 14, 20. Hand in #14, 20 on Monday, Dec. 4.
  42. Page 1091 #3, 5.
  43. Review
  44. Review


Use this link to go to Ernest Boyd's Home Page.

E-mail Ernest Boyd