Kelly MacArthur

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
Spring, 2019


Course Information



  • Syllabus

  • Course Outline (Schedule)

  • Suggested Homework Assignments

  • Calculus Book Information (scroll down to see the book information for this class)

  • Weekly Task List

  • Instructions on how to get points back for your daily Canvas Quizzes



    Class Notes



  • Chapter 11 Notes

  • Chapter 12 Notes

  • Chapter 13 Notes

  • Chapter 14 Notes


    Class Schedule/Information



  • Calculus 3 Lecture Videos (Note: All videos listed below by name refer to videos on this link.)

      Week 1 (January 7-11)

    • For Monday's class: read the syllabus and be prepared for class.
    • For Wednesday's class: watch 1 Parametric Equations lecture video (10.4) and 2A & 2B Cartesian Coordinates in 3-space lecture videos (11.1)
    • For Friday's class: watch 3A & 3B Vectors lecture video (11.2)

      Week 2 (January 14-18)

    • For Monday's class: watch 4A & 4B Dot Product & 4C Planes lecture videos (11.3)
    • For Wednesday's class: watch 5A & 5B The Cross Product lecture videos (11.4)
    • For Friday's class: be prepared to finish 11.3 and 11.4

      Week 3 (January 21-25)

    • For Monday's class: relax, Monday is a holiday!
    • For Wednesday's class: watch 6 Vector-valued Functions, Curvilinear Motion lecture video (11.5)
    • For Friday's class: watch 7 Lines and Tangent Lines in 3-Space lecture video (11.6)

      Week 4 (January 28-February 1)

    • For Monday's class: watch 8 Surfaces in 3-Space lecture video (11.8)
    • For Wednesday's class: watch 9A & 9B Spherical and Cylindrical Coordinates lecture videos (11.9)
    • For Friday's class: watch 10 Functions of Two or More Variables and 11A & B Partial Derivatives lecture videos (12.1, 12.2)

      Week 5 (February 4-8)

    • For Monday's class: be prepared to ask questions as review for first midterm.
    • For Wednesday's class: CLASSES CANCELLED--SNOW DAY!
    • For Friday's class: be prepared to take the group portion of Midterm 1

      Week 6 (February 11-15)

    • For Monday's class: be prepared to take the solo portion of Midterm 1
    • For Wednesday's class: watch 12A Limits and 12B Continuity lecture videos (12.3)
    • For Friday's class: watch 13 Differentiability & Gradients lecture video (12.4)

      Week 7 (February 18-22)

    • For Monday's class: relax, Monday is a holiday!
    • For Wednesday's class: watch 14 Directional Derivatives lecture videos (12.5)
    • For Friday's class: watch 15 Chain Rules lecture video (12.6)

      Week 8 (February 25-March 1)

    • For Monday's class: watch 16A & B Tangent PLanes and Approximations lecture videos (12.7)
    • For Wednesday's class: watch 17A & B Maxima and Minima lecture videos (12.8)
    • For Friday's class: be prepared to finish covering sections 12.7 & 12.8

      Week 9 (March 4-8)

    • For Monday's class: watch 18A & B Lagrange Multipliers lecture videos (12.9)
    • For Wednesday's class: be prepared to do more 12.9 examples
    • For Friday's class: watch 19A & 19B Double Integrals over Rectangles & Iterated Integrals lecture video (13.1, 13.2)

      Spring Break Week: March 11-15 is Spring Break--there is NO school!!


      Week 10 (March 18-22)

    • For Monday's class: be prepared to ask questions as review for second midterm.
    • For Wednesday's class: be prepared to take the group portion of Midterm 2
    • For Friday's class: be prepared to take the solo portion of Midterm 2.

      Week 11 (March 25-29)

    • For Monday's class: watch 20 Double Integrals over Non-Rectangular Regions lecture video (13.3)
    • For Wednesday's class: watch 21 Double Integrals in Polar Coordinates lecture video (13.4)
    • For Friday's class: watch 22A & B Surface Area lecture videos (13.6)

      Week 12 (April 1-5)

    • For Monday's class: watch 23 Triple Integrals in Cartesian Coordinates lecture video (13.7)
    • For Wednesday's class: watch 24 Triple Integrals in Cylindrical and Spherical Coordinates lecture video (13.8)
    • For Friday's class: watch 25 The Jacobian lecture video (13.9)

      Week 13 (April 8-12)

    • For Monday's class: watch 26 Vector Fields lecture video (14.1)
    • For Wednesday's class: watch 27A & B Line Integrals and Work lecture videos (14.2)
    • For Friday's class: watch 28 Independence of Path lecture video (14.3)

      Week 14 (April 15-19)

    • For Monday's class: watch 29 Green's Theorem in the Plane lecture video (14.4)
    • For Wednesday's class: watch 30 Surface Integrals lecture video (14.5)
    • For Friday's class: watch 31 Gauss's Divergence Theorem lecture video (14.6) and 32 Stokes' Theorem lecture video (14.7)

      Week 15 (April 22-24)

    • For Monday's class: We'll have a final review today.
    • Wednesday: Final Review, 9:30-11:00 a.m.
    • Thursday: Final Exam, 7:00 - 10:00 a.m. (starting an hour early to give you additional time)

      Week 16 (Thursday, April 25-Wednesday, May 1) (FINAL EXAMS WEEK)

    • Wednesday, April 24, 8:30 to 10:30 am, Extra Final Review

    • Tuesday, April 30, 10:00 am to 12:00 pm, Extra Final Review

      Math2210-02 (8:35 am class)Math2210-06 (9:40 am class)
      Final Exam, Wednesday, May 1, 8:00-10:00 am Final Exam, Thursday, April 25, 8:00-10:00 am






    Extra Problems/Reference materials



    Exam Reviews