Calculus III (MATH 20550-04) with Peter Gerdes Fall 2010

Note Homework is subject to change until the date it is assigned! Any such changes will be posted on the announcements page.

Chapter 13

  • 13.1: # 4, 7, 12, 15, 23. (assigned 8/25) (due 9/3)
  • 13.2: # 6, 14, 17, 20, 23, 25, 26, 27. (assigned 8/26) (due 9/3)
  • 13.3: # 5, 17, 23, 27, 39, 40, 41, 43, 47, 48, 51. (assigned 8/27) (due 9/3)
  • 13.4: # 5, 6, 13, 17, 19, 29, 30, 34, 35, 38. (assigned 8/30) (due 9/3)
  • 13.5a (lines): # 3, 4, 5, 7, 10, 13, 19, 21, 66. (assigned 9/1) (due 9/3)
  • 13.5b: # 23, 24, 27, 31, 35, 43, 44, 46, 48, 51, 52, 55, 56, 57, 61, 63, 69, 71. (assigned 9/3) (due 9/10)

    Chapter 14

  • 14.1: # 2, 3, 4, 8, 11, 12, 19, 20, 21, 22, 23, 24, 25, 26, 37, 41, 42. (assigned 9/6)(due 9/10)
  • 14.2: # 3, 8, 9, 13, 19, 23, 24, 32, 36, 37, 39. (assigned 9/8)(due 9/10)
  • 14.3: # 2, 3, 4, 17a, 18a, 43, 44, 49. (assigned 9/10)(due 9/21 at exam)
  • 14.4: # 5, 7, 10, 13, 18(a), 19, 20, 21, 23, 35, 38, 41. (assigned 9/13)(due 9/21 at exam)

    Chapter 15

  • 15.1: # 11, 12, 14, 23, 24, 26, 30, 31, 32, 33, 34, 35, 40, 45, 48, 55, 56, 57, 58, 59, 60. (assigned 9/15)(due 9/21 at exam)
  • 15.2: # 9, 10, 13, 14, 18, 21, 24, 29, 31, 32, 38, 39, 40. (assigned 9/17)(due 9/21 at exam)

    Exam I: Sept. 21, 8-9:15am, 127 Hayes-Healy Center.


    Chapter 15

  • 15.3: # 5, 10 15, 17, 22, 28, 29, 39, 41, 52, 56, 63, 64, 87, 89. (assigned 9/22)(due 10/1)
  • 15.5: # 5, 6, 10, 11, 13, 14, 17, 21, 22, 29, 32, 35, 39, 42. (assigned 9/24)(due 10/1)
  • 15.6a (Directional Derivatives): # 2, 5, 6, 7, 8, 12, 15, 19, 20, 21, 22, 24, 28, 33, 34, 36. (assigned 9/27)(due 10/1)
  • 15.6b (Tangent Planes, Normal Lines): # 40, 41, 42, 45* (just find equation of normal line and tangent plane), 52, 59. (assigned 9/29)(due 10/1)
  • 15.7a (Local max/min, saddle points): # 3, 4, 5, 6, 8, 10, 14. (assigned 10/1)(due 10/8)
  • 15.7b (absolute max/min) : # 31, 32, 34, 42, 47, 48. (assigned 10/4)(due 10/8)
  • 15.8a (Lagrange Multipliers--one constraint): # 4, 5, 6, 18, 19, 29, 30. (assigned 10/6)(due 10/8)
  • 15.8b (Lagrange Multipliers--two constraint): # 15, 16, 40, 41. (assigned 10/8)(due 10/15)

    Chapter 16

  • 16.1: # 11, 12, 13, 14. (assigned 10/11)(due 10/15)
  • 16.2: # 6, 8, 9, 16, 20, 28, 29, 30, 35, 36. (assigned 10/11)(due 10/15)
  • 16.3: # 4, 6, 11, 14, 16, 19, 20, 22, 26, 31, 43, 45, 46. (assigned 10/13)(due 10/15)
  • 16.4: # 8, 9, 14, 15, 17, 18, 19, 22, 24, 30, 32, 33, 34. (assigned 10/15)(due 10/26)

    Exam II: Oct. 26, 8-9:15am, 127 Hayes-Healy Center.


  • 16.6: # 3, 10, 11, 13, 14, 22, 34, 51. (assigned 10/27)(due 11/5)
  • 16.5 (Mass Only): # 3, 6, 10, 12. 16.6: 40 (assigned 10/28)(due 11/5)
  • 16.7: # 7, 11, 15, 17, 18, 19, 21, 22, 25, 28. (assigned 10/29)(due 11/5)
  • 16.8: # 12, 15, 17, 21, 24, 25, 29, 30, 40. (assigned 10/29)(due 11/5)
  • 16.9: # 2, 6, 7, 8, 11, 13, 14, 17, 21--23. (assigned 11/3)(due 11/5)

    Chapter 17

  • 17.2a (line integrals wrt to arc length): # 3, 4, 9, 11, 33, 34, 36. (assigned 11/3)(due 11/12)
  • 17.1: # 2, 5, 11--19, 23, 24, 27, 33, 34 (just graph them anyway you can). (assigned 11/5)(due 11/12)
  • 17.2b: # 6, 7, 15, 16, 17, 18, 19, 20, 40, 41, 43. (assigned 11/8)(due 11/12)
  • 17.3: # 4, 5, 6, 11, 12, 14, 15, 17, 18, 20, 21, 23, 33 and 17.5a (3-D conservative functions): 14, 15. (assigned 11/10)(due 11/18)
  • 17.4: # 1, 2, 7, 8, 9, 10, 12, 13, 18, 27. (assigned 11/12)(due 11/18)
  • 17.5b: # 1, 3, 8, 9, 10, 19, 21. (assigned 11/15)(due 11/18)

    Exam III: Nov. 18, 8-9:15am, 127 Hayes-Healy Center.


  • 17.6a: # 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 29, 32. (assigned 11/19)(due 12/3)
  • 17.6b: # 33, 38, 40, 41, 42, 43. (assigned 11/22)(due 12/3)
  • 17.7a: # 6, 9, 11, 13, 15, 16, 38, 40a. (assigned 11/29)(due 12/3)
  • 17.7b: #19, 20, 21, 22, 41, 42. (assigned 12/1)(due 12/3)
  • 17.8: # 2, 3, 5, 8, 11a, 13, 17, 18, 19. (assigned 12/3)(due 12/10??)
  • 17.9: # 5, 7, 9, 11, 13, 17, 19, 20, 24. (assigned 12/6)(due 12/10??)

    Final: TBA.