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, 2015





Class Schedule/Information

  • Calculus 3 Lecture Videos

      Friday, July 10

    • 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 13

    • 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 14

    • Quiz 2 tomorrow will cover sections 11.3, 11.4 and 11.5
    • 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)
         9A & 9B Spherical and Cylindrical Coordinates lecture video (11.9)

      Wednesday, July 15

    • Quiz 3 tomorrow will cover sections 11.6, 11.8, and 11.9
    • For tomorrow's lecture, watch video:
         10 Functions of Two or More Variables lecture video (12.1)
         11A & B Partial Derivatives lecture videos (12.2)
      and start the midterm 1 review assignment (listed below).

      Thursday, July 16

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

      Friday, July 17

    • Quiz 4 on Monday will cover section 12.1 and 12.2
    • For Monday's lecture, watch videos:
         12A Limits and 12B Continuity lecture videos (12.3)
         13 Differentiability & Gradients lecture video (12.4)
         14 Directional Derivatives lecture videos (12.5)

      Monday, July 20

    • Quiz 5 tomorrow will cover sections 12.3, 12.4, and 12.5
    • For tomorrow's lecture, watch videos:
         15 Chain Rules lecture video (12.6)
         16A & B Tangent PLanes and Approximations lecture videos (12.7)
         17A & B Maxima and Minima lecture videos (12.8)

      Tuesday, July 21

    • Quiz 6 tomorrow will cover sections 12.6 and 12.7
    • For tomorrow's lecture, watch videos:
         18A & B Lagrange Multipliers lecture videos (12.9)
      and start the midterm 2 review assignment (listed below).

      Wednesday, July 22

    • Midterm 2 tomorrow will cover sections 12.1-12.8

      Thursday, July 23

    • Quiz 7 on Monday will cover sections 12.8 and 12.9
    • For Monday's lecture, watch videos:
         19A Double Integrals over Rectangles & Iterated Integrals lecture video (13.1)
          19B Double Integrals over Rectangles & Iterated Integrals lecture video (13.2)
         20 Double Integrals over Non-Rectangular Regions lecture video (13.3)

      Friday, July 24

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

      Monday, July 27

    • Quiz 8 tomorrow will cover sections 13.1, 13.2, and 13.3
    • For tomorrow's lecture, watch videos:
         21 Double Integrals in Polar Coordinates lecture video (13.4)
         22A & B Surface Area lecture videos (13.6)
         23 Triple Integrals in Cartesian Coordinates lecture video (13.7)

      Tuesday, July 28

    • Quiz 9 tomorrow will cover sections 13.4 13.6, and 13.7
    • For tomorrow's lecture, watch videos:
         24 Triple Integrals in Cylindrical and Spherical Coordinates lecture video (13.8)
         25 The Jacobian lecture video (13.9)
         26 Vector Fields lecture video (14.1)

      Wednesday, July 29

    • Quiz 10 on tomorrow will cover sections 13.8, 13.9, and 14.1
    • For tomorrow's lecture, watch videos:
         27A & B Line Integrals and Work lecture videos (14.2)
      and start the midterm 3 review assignment (listed below).

      Thursday, July 30

    • Midterm 3 tomorrow will cover sections 12.9, 13.1-13.4, 13.6-13.8, 14.1

      Friday, July 31

    • Quiz 11 on Monday will cover section 14.1 and 14.2
    • For Monday's lecture, watch videos:
         28 Independence of Path lecture video (14.3)
         29 Green's Theorem in the Plane lecture video (14.4)
         30 Surface Integrals lecture video (14.5)

      Monday, August 3

    • Quiz 12 tomorrow will cover sections 14.3, 14.4, and 14.5
    • For tomorrow's lecture, watch videos:
         31 Gauss's Divergence Theorem lecture video (14.6)
         32 Stokes' Theorem lecture video (14.7)

      Tuesday, August 4

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

      Wednesday, August 5

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



      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



      Extra Problems/Reference materials


      Exam Reviews

      • Midterm 1 Review: (covers sections 10.4, 11.1-11.6, 11.8, 11.9)
        Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

      • Midterm 1 Review Book Assignment

      • Here is another Calc 3 exam (from a different instructor)
        On this exam, do problems #1, 2, 3, 4a, 5 for additional practice.

      • Yet another set of exams and suggested problems to do. Test 1 and its Key and Test 2 and its Key

      • Kelly's old midterm 1 and Key




      • Midterm 2 Review: (covers sections 12.1-12.8)
        Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

      • Midterm 2 Review Book Assignment

      • Here is another Calc 3 exam (from a different instructor)
        On this exam, do problems #1-4 for additional practice.

        And a set of quizzes from the same teacher that have some good practice questions:
        Quiz 4, Quiz 5, Quiz 6, Quiz 7

      • Yet another exam to do. Exam and Key

      • Kelly's old midterm 2 and Key




      • Midterm 3 Review: (covers sections 12.9, 13.1-13.4, and 13.6-13.9, 14.1)
        Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

      • Midterm 1 Review Book Assignment

      • Here is another Calc 3 exam (from a different instructor)
        On this exam, do problems #1, 2 (parts 1 and 2), and 4ab for additional practice.
        Also do #3b on this exam.

      • And a set of quizzes from the same teacher that have some good practice questions:
        Quiz 7 (do number 1),Quiz 8, Quiz 9

      • Yet another exam. Test 2 (do problems 1, 2, 3ab, 4)

      • Kelly's old midterm 3 and Key




      • Final Review: (covers everything we've covered in class this semester)
        Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

      • Final Review Assignment

      • Extra Final Review Problems (read through the Final Review Assignment to make sense of this link)

      • Extra Final Review Answers (to Extra Final Review Problems that were assigned)

      • Here is another Calc 3 Final Exam (From a different instructor) and the Key

      • Kelly's old final exam and Key