Kelly MacArthur

Assistant Chair
Instructor Lecturer

Office: JWB 218
Email: macarthur@math.utah.edu

University of Utah
Department of Mathematics
155 S. 1400 E. JWB 233
Salt Lake City, UT
84112-0090 USA

Math2210 Calculus 3
Summer, 2017


  • Syllabus

  • Course Outline (Schedule)

  • Homework Assignments

  • Book Information (scroll down to get to the listing for Math1210/1220/2210 and read the Book Purchasing Document)



    Class Notes

  • Section 10.4 and Chapter 11 Notes

  • Chapter 12 Notes

  • Chapter 13 Notes

  • Chapter 14.1-14.3 Notes

  • Chapter 14.4-14.7 Notes




    Class Schedule/Information

  • Calculus 3 Lecture Videos

      Friday, July 7

    • Quiz 0 on Monday will be review quiz from Calculus 1 & 2 topics
    • For Monday's lecture, watch videos:
         1 Parametric Equations lecture video (10.4)
         2A & 2B Cartesian Coordinates in 3-space lecture videos (11.1)
         3A & 3B Vectors lecture video (11.2)

      Monday, July 10

    • Quiz 1 tomorrow will cover sections 10.4, 11.1, and 11.2
    • For tomorrow's lecture, watch videos:
         4A & 4B Dot Product & 4C Planes lecture videos (11.3)
         5A & 5B The Cross Product lecture videos (11.4)
         6 Vector-valued Functions, Curvilinear Motion lecture video (11.5)

      Tuesday, July 11

    • Quiz 2 tomorrow will cover sections 11.3 and 11.4
    • For tomorrow's lecture, watch videos:
         7 Lines and Tangent Lines in 3-Space lecture video (11.6)
         8 Surfaces in 3-Space lecture videos (11.8)

      Wednesday, July 12

    • Quiz 3 tomorrow will cover sections 11.5, 11.6, and 11.8
    • For tomorrow's lecture, watch video:
         9A & 9B Spherical and Cylindrical Coordinates lecture video (11.9)
         10 Functions of Two or More Variables lecture video (12.1)
      and start the midterm 1 review assignment (listed below).

      Thursday, July 13

    • Midterm 1 tomorrow will cover sections 10.4, 11.1-11.6, 11.8, 11.9

      Friday, July 14

    • Quiz 4 on Monday will cover section 11.9 and 12.1
    • For Monday's lecture, watch videos:
         11A & B Partial Derivatives lecture videos (12.2)
         12A Limits and 12B Continuity lecture videos (12.3)
         13 Differentiability & Gradients lecture video (12.4)

      Monday, July 15

    • Quiz 5 tomorrow will cover sections 12.2, 12.3, and 12.4
    • For tomorrow's lecture, watch videos:
         14 Directional Derivatives lecture videos (12.5)
         15 Chain Rules lecture video (12.6)
         16A & B Tangent PLanes and Approximationslecture videos (12.7)

      Tuesday, July 16

    • Quiz 6 tomorrow will cover sections 12.5, 12.6 and 12.7
    • For tomorrow's lecture, watch videos:
         17A & B Maxima and Minima lecture videos (12.8)
         18A & B Lagrange Multipliers lecture videos (12.9)
         19A Double Integrals over Rectangles & Iterated Integrals lecture video (13.1)

      Wednesday, July 19

    • Quiz 7 tomorrow will cover sections 12.8 and 12.9
    • For tomorrow's lecture, watch videos:
          19B Double Integrals over Rectangles & Iterated Integrals lecture video (13.2)
      and start the midterm 2 review assignment (listed below).

      Thursday, July 20

    • Midterm 2 tomorrow will cover sections 12.1-12.9

      Friday, July 21

    • Quiz 8 on Tuesday (Monday is a holiday) will cover sections 13.1 and 13.2
    • For Tuesday's lecture, watch videos:
         20 Double Integrals over Non-Rectangular Regions lecture video (13.3)
         21 Double Integrals in Polar Coordinates lecture video (13.4)
         22A & B Surface Area lecture videos (13.6)

      Monday, July 24

      This is a school holiday (Pioneer Day)...your assignment for today is to relax and have some fun!

      Tuesday, July 25

    • Quiz 9 tomorrow will cover sections 13.3, 13.4, and 13.6
    • For tomorrow's lecture, watch videos:
         23 Triple Integrals in Cartesian Coordinates lecture video (13.7)
         24 Triple Integrals in Cylindrical and Spherical Coordinates lecture video (13.8)
         25 The Jacobian lecture video (13.9)

      Wednesday, July 26

    • Quiz 10 on tomorrow will cover sections 13.7, 13.8, and 13.9
    • For tomorrow's lecture, watch videos:
         26 Vector Fields lecture video (14.1)
      and start the midterm 3 review assignment (listed below).

      Thursday, July 27

    • Midterm 3 tomorrow will cover sections 13.1-13.4, 13.6-13.9

      Friday, July 28

    • Quiz 11 on Monday will cover sections 13.9 and 14.1
    • For Monday's lecture, watch videos:
         27A & B Line Integrals and Work lecture videos (14.2)
         28 Independence of Path lecture video (14.3)
         29 Green's Theorem in the Plane lecture video (14.4)

      Monday, July 31

    • Quiz 12 tomorrow will cover sections 14.2 and 14.3
    • For tomorrow's lecture, watch videos:
         30 Surface Integrals lecture video (14.5)
         31 Gauss's Divergence Theorem lecture video (14.6)
         32 Stokes' Theorem lecture video (14.7)

      Tuesday, August 1

    • Quiz 13 tomorrow will be a longer quiz that is meant as a review for the final exam.
    • Start final review assignment to be sure you're ready for the final exam.

      Wednesday, August 2

    • The final exam tomorrow will cover everything from chapters 10-14 that we have covered in this class.

      Thursday, August 3

    • The final celebration of what you know from 2210 is today!


      Extra Problems/Reference materials


      Exam Reviews