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

Math1220 Calculus 2
Spring, 2020


Course Information






Class Notes

  • Chapter 6 Notes

  • Chapter 7 Notes

  • Chapter 8 Notes

  • Chapter 9 Notes

  • 10.5 - 10.7 Notes

    Class Schedule/Information

  • Calculus 2 Lecture Videos (Note: All videos listed below by name refer to videos on this link.)

      Week 1 (January 6-10)

    • For Monday's class: Intro/be prepared for review assignment
    • For Tuesday's class: watch 1A & 1B Natural Logarithm lecture videos (6.1)
    • For Wednesday's class: watch 2 Inverse Functions lecture video (6.2)
    • For Friday's class: be prepared to finish up and review this week's material.

      Week 2 (January 13-17)

    • For Monday's class: watch 3 Natural Exponential Function & Its Derivative lecture video (6.3)
    • For Tuesday's class: watch 4A & 4B General Exponential/Logarithmic Functions & Their Derivatives lecture videos (6.4)
    • For Wednesday's class: watch 5A & 5B Exponential Growth & Decay lecture videos (6.5)
    • For Friday's class: be prepared to finish up and review this week's material.

      Week 3 (January 20-24)

    • For Monday's class: relax, Monday is a holiday!
    • For Tuesday's class: watch 6A & 6B Inverse Trigonometric Functions & Their Derivatives lecture videos (6.8)
    • For Wednesday's class: watch 7A & 7B Hyperbolic Functions & Their Derivatives lecture videos (6.9)
    • For Friday's class: be prepared to finish up and review this week's material.

      Week 4 (January 27-31)

    • For Monday's class: watch 8A & 8B Basic Integration Rules lecture videos (7.1)
    • For Tuesday's class: be prepared to ask questions as review for first midterm.
    • For Wednesday's class: be prepared to take the group portion of Midterm 1.
    • For Friday's class: be prepared to take the solo portion of Midterm 1.

      Week 5 (February 3-7)

    • For Monday's class: Classes were canceled due to a snow day.
    • For Tuesday's class: watch 9A & 9B Integration by Parts lecture video (7.2)
    • For Wednesday's class: watch 10A & 10B Trigonometric Integrals lecture videos (7.3)
    • For Friday's class: watch 11A Rationalizing & Trigonometric Substitutions lecture videos (7.4) and be prepared to finish up and review this week's material.

      Week 6 (February 10-14)

    • For Monday's class: watch 11B Rationalizing & Trigonometric Substitutions lecture video (7.4)
    • For Tuesday's class: watch 12A & 12B Integration of Rational Functions lecture videos (7.5)
    • For Wednesday's class: watch 13 Strategies for Integration lecture video (7.6)
      Note: You can also watch 13.5A & 13.5B lecture videos for extra Integration practice
    • For Friday's class: be prepared to finish up and review this week's material.

      Week 7 (February 17-21)

    • For Monday's class: relax, Monday is a holiday!
    • For Tuesday's class: watch 14 Indeterminate Types: 0/0 lecture video (8.1)
    • For Wednesday's class: watch 15 Other Indeterminate Forms lecture video (8.2)
    • For Friday's class: be prepared for class activity to review material. be prepared to finish up and review this week's material.

      Week 8 (February 24-28)

    • For Monday's class: watch 16A & 16B Improper Integrals lecture videos (8.3)
    • For Tuesday'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 solo portion of the Midterm 2.

      Week 9 (March 2-6)

    • For Monday's class: watch 17 Improper Integrals: Indefinite Integrands lecture videos (8.4) Note: To be prepared for chapter 9, watch 17.5A & 17.5B Sequence/Series/Patterns Introduction & Practice lecture videos
    • For Tuesday's class: watch 18A & 18B Infinite Sequences lecture videos (9.1)
    • For Wednesday's class: watch 19A & 19B Infinite Series lecture videos (9.2)
    • For Friday's class: be prepared to finish up and review this week's material.

      Spring Break: March 9-13 is Spring Break--there is NO school!


      Week 10 (March 16-20)

    • For Monday's class: CANCELLED
    • For Tuesday's class: CANCELLED
    • For Wednesday's class: watch 20A & 20B Positive Series: Integral Test lecture videos (9.3)
    • For Friday's class: watch 21A & 21B & 21C Positive Series: Ordinary Comparison Test, Limit Comparison Test, Ratio Test lecture videos (9.4)


      Week 11 (March 23-27)

    • For Monday's class: be prepared to do more practice for sections 9.2-9.4
    • For Tuesday's class: watch 22 Alternating Series lecture video (9.5)
    • For Wednesday's class: watch 23 Power Series lecture video (9.6)
    • For Friday's class: be prepared for class activity to review material. be prepared to finish up and review this week's material.

      Week 12 (March 30-April 3)

    • For Monday's class: be prepared for the error notes from sections 9.3-9.5
    • For Tuesday's class: be prepared to ask questions as review for third midterm.
    • For Wednesday's class: be prepared to take the group portion of Midterm 3.
    • For Friday's class: be prepared to take the solo portion of Midterm 3.

      Week 13 (April 6-10)

    • For Monday's class: watch 24A & 24B Operations on Power Series lecture videos (9.7)
    • For Tuesday's class: watch 25A Taylor and Maclaurin Series (part 1) lecture video (9.8)
    • For Wednesday's class: watch 25B & 25C Taylor and Maclaurin Series (parts 2 and 3) lecture videos (9.8)
    • For Friday's class: be prepared to finish up and review this week's material.

      Week 14 (April 13-17)

    • For Monday's class: watch 26A & 26B Taylor Approximations (parts 1 & 2) lecture videos (9.9)
    • For Tuesday's class: watch 27A & 27B Polar Coordinates (parts 1 & 2) lecture videos (10.5)
    • For Wednesday's class: watch 28 Graphs of Polar Equations lecture video (10.6)
    • For Friday's class: be prepared to finish up and review this week's material.

      Week 15 (April 20-22)

    • For Monday's class: watch 29A & 29B Calculus of Polar Equations lecture videos (10.7)
    • For Tuesday's class: be prepared to do more practice for sections 10.6-10.7
    • Wednesday is Reading Day, there is no class

      Week 16 (April 23-29) Final Exams Week

    • Final Review, Thursday, April 23, 10:00-11:30 am
    • Final Exam, Friday, April 24, 8:00-10:00 am





    Extra Problems/Reference materials




    Exam Reviews

    • Midterm 1 Review: (covers sections 6.1-6.5, 6.8, 6.9, 7.1)
      Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No calculators nor electronics allowed during the exam.

    • Midterm 1 Review Book Assignment

    • Extra Review Problems (this review contains the key in the document)

    • Other exams:
      1. exam 1 (do #1-5) and Key

      2. exam 2 (do #1-5) Key


    • Midterm 2 Review: (covers sections 7.2-7.6, and 8.1-8.2)
      Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No calculators nor electronics allowed during the exam.

    • Midterm 2 Review Book Assignment

    • Extra Review Problems (answer key is contained in that document) NOTE: Ignore the improper integral problems.

    • More Integral Practice and the Key


    • Midterm 3 Review: (covers sections 8.3-8.4, 9.1-9.6)
      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 3 Review Assignment (remember that the solutions to book problems are posted in the Files tab on Canvas)

    • Extra Integration Review Problems (answer key is contained in that document) NOTE: Only focus on improper integral problems, namely #29, 33, 36, 40, 42, 43, 46-50

    • Chapter 9 Review Problems NOTE: Only do problems 1-27 all and 33-37 all.

    • Several old 1220 exams (Look mostly at exam 2 or 3 examples and focus on the problems dealing with sequences and series)