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

Math1210 Calculus 1
Spring, 2014




Class Notes



Class Schedule/Information

  • Calculus 1 Lecture Videos (Note: All videos listed below by name refer to videos on this link.)

      Week 1 (January 6-10)

    • For Monday's class: watch 1 Slope of a Line (Review) lecture video (review)
    • For Tuesday's class: watch 2 Introduction to Limits lecture video (1.1)
    • For Wednesday's class: watch 3 Limit Properties lecture video (1.3)
    • For Friday's class: be prepared for the weekly quiz on sections 1.1 and 1.3; bring your homework questions to class.

      Week 2 (January 13-17)

    • For Monday's class: watch 4A & 4B Limits at Infinity lecture videos (1.5)
    • For Tuesday's class: watch 4C Squeeze Theorem and 6 Continuity lecture videos (1.6)
    • For Wednesday's class: watch 7 Slope of a Curve and 8 Two Problems, One Theme lecture videos (2.1)
    • For Friday's class: be prepared for the weekly quiz on sections 1.5, 1.6 and 2.1; bring your homework questions to class.

      Week 3 (January 20-25)

    • Note: Monday is a holiday; there is no class.
    • For Tuesday's class: we will finish 2.1 notes; be prepared to ask questions from 1.6 and 2.1.
    • For Wednesday's class: watch 9 The Derivative lecture video (2.2)
    • For Friday's class: be prepared for the weekly quiz on sections 2.1, 2.2; bring your homework questions to class.

      Week 4 (January 27-31)

    • For Monday's class: watch 10 Derivative Rules lecture video (2.3)
    • For Tuesday's class: watch 5 Trigonometric Limits lecture video (1.4)
    • For Wednesday's class: be prepared to ask questions as review for first midterm.
    • For Friday's class: be prepared to take the Midterm 1.

      Week 5 (February 3-7)

    • For Monday's class: watch 11 Derivative of Trigonometric Functions lecture video (2.4)
    • For Tuesday's class: watch 12 The Chain Rule lecture video (2.5)
    • For Wednesday's class: watch 13 Higher Order Derivatives lecture video (2.6)
    • For Friday's class: be prepared for the weekly quiz on sections 2.4-2.6; bring your homework questions to class.

      Week 6 (February 10-14)

    • For Monday's class: watch 14A & B Implicit Differentiation lecture videos (2.7)
    • For Tuesday's class: watch 15A & B Related Rates lecture videos (2.8)
    • For Wednesday's class: watch 15.5 Differentials & Approximations lecture video (2.9)
    • For Friday's class: be prepared for the weekly quiz on sections 2.7-2.9; bring your homework questions to class.

      Week 7 (February 17-21)

    • Note: Monday is a holiday; there is no class.
    • For Tuesday's class: we will use this extra day to practice 2.8 and 2.9 problems.
    • For Wednesday's class: watch 16A & B Maximum and Minimum Values lecture videos (3.1)
    • For Friday's class: be prepared for the weekly quiz on sections 2.9 and 3.1; bring your homework questions to class.

      Week 8 (February 24-28)

    • For Monday's class: watch 17A, B & C Monotonicity and Concavity lecture videos (3.2)
    • For Tuesday's class: watch 18A & B Local Extrema lecture videos (3.3)
    • For Wednesday's class: be prepared to ask questions as review for second midterm.
    • For Friday's class: be prepared to take the Midterm 2.

      Week 9 (March 3-7)

    • For Monday's class: watch 19A & B Sketching The Graph of a Function lecture videos (3.5)
    • For Tuesday's class: watch 20.5 Optimization Word Problems (parts 1 and 2) lecture videos (3.4)
    • For Wednesday's class: we will use this extra day to practice 3.4 problems.
    • For Friday's class: be prepared for the weekly quiz on sections 3.4 and 3.5; bring your homework questions to class.

      Important Note: The week of March 10-14 is Spring Break. There are no classes!


      Week 10 (March 17-21)

    • For Monday's class: watch 20 The Mean Value Theorem for Derivatives lecture video (3.6)
    • For Tuesday's class: watch 21A & 21B Solving Equations Numerically (Bisection and Newton's method) lecture videos (3.7)
    • For Wednesday's class: watch 22 Antiderivatives lecture video (3.8)
    • For Friday's class: turn in your weekly take-home quiz on sections 3.6, 3.7 and 3.8; bring your homework questions to class.

      Week 11 (March 24-28)

    • For Monday's class: watch 23 Differential Equations lecture video (3.9)
    • For Tuesday's class: watch 24A & 24B Introduction to Area (parts 1 and 2) lecture videos (4.1)
    • For Wednesday's class: watch 25A & 25B The Definite Integral (parts 1 and 2) lecture videos (4.2)
    • For Friday's class: turn in your weekly take-home quiz on sections 3.9, 4.1 and 4.2; bring your homework questions to class.

      Week 12 (March 31-April 4)

    • For Monday's class: watch 26 The First Fundamental Theorem of Calculus lecture video (4.3)
    • For Tuesday's class: watch 27 The Second Fundamental Theorem of Calculus lecture videos (4.4)
    • For Wednesday's class: be prepared to ask questions as review for third midterm.
    • For Friday's class: be prepared to take the Midterm 3.

      Week 13 (April 7-11)

    • For Monday's class: watch 28A & 28B The Mean Value Theorem for Integrals lecture videos (4.5)
    • For Tuesday's class: watch 28C Extra Integration Practice and 29A Area of a Plane Region lecture videos (Integration Review and 5.1)
    • For Wednesday's class: watch 29B Area of Plane Region lecture video (5.1)
    • For Friday's class: turn in your weekly take-home quiz on integration review and sections 4.5 and 5.1; bring your homework questions to class.

      Week 14 (April 14-18)

    • For Monday's class: watch 30A & 30B Volume of Solids--Disk and Washer Methods lecture videos (5.2)
    • For Tuesday's class: watch 30C & 30D Volume of Solids--Shell Method and more practice lecture videos (5.3)
    • For Wednesday's class: watch 31A & 31B Length of a Plane Curve (parts 1 and 2) lecture videos (5.4)
    • For Friday's class: turn in your weekly take-home quiz on sections 5.2, 5.3 and 5.4; bring your homework questions to class.

      Week 15 (April 21-23)

    • For Monday's class: watch 31C Surface Area lecture video (5.4)
    • For Tuesday's class: watch 33A & 33B Moments and Center of Mass (parts 1 and 2) lecture videos (5.6)
    • For Wednesday's class: be prepared to ask questions as review for the final exam.





    Miscellaneous

    Algebra/Arithmetic/Trigonometry Reviews



    Exam Reviews

    • Midterm 1 Review: (covers sections 1.1, 1.3-1.6, 2.1-2.3)
      Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam. You MUST have your U of U id card to show us at the end of the exam.

      Midterm 1 Review problems, from notes (above)
      #1-8 (except #6(a))
          Key for Midterm 1 Review Problems (from notes)

      Chapter 1 Review (page 90-91, in text book)
      Concepts Test Problems #1, 2, 3, 5-8 all, 11, 12, 18, 19, 20
      Sample Test Problems #1, 3, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 24, 25, 29, 31, 33

      Chapter 2 Review (page 147-149, in text book)
      Concepts Test Problems #7, 10, 11, 16
      Sample Test Problems #1(a-e, g), 5-8 all, 9, 11, 38

      In addition to these problems, I would recommend re-doing the quiz problems, if you need more practice.


    • Midterm 2 Review: (covers sections 2.4-2.9, 3.1-3.3)
      Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam. You MUST have your U of U id card to show us at the end of the exam.

      Chapter 2 Review (page 147-149, in text book)
      Concepts Test Problems #16, 18, 19, 20, 23, 26, 27, 28, 29, 32, 33, 36
      Sample Test Problems #1(f), 13-33 all, 35-41 all, 43, 44, 46, 47

      Chapter 3 Review (page 210-211, in text book)
      Concepts Test Problems #1-15 all, 21, 22, 24, 26, 27, 32
      Sample Test Problems #1-22 all

      Homemade Extra Review
      Homemade Extra Review KEY


      Note: Extra midterm review sessions:
      Wednesday, 2/26, 9:30 to 10:30 a.m. in LCB222
      Thursday, 2/27, 8:35 to 9:25 a.m. in JTB310
      Thursday, 2/27, 10:30 to 11:30 a.m. in AEB310


    • Midterm 3 Review: (covers sections 3.4-3.9, 4.1-4.3)
      Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). You will also need a calculator for the Newton's Method/Bisection Method problem. You MUST have your U of U id card to show us at the end of the exam.

      Chapter 3 Review (page 209-211, in text book)
      Concepts Test Problems #4-12 all, 15, 17, 19, 21, 22, 24, 27, 36, 38, 40, 41, 42
      Sample Test Problems 40-43 all, 45, 49, 50, 53-75 odd

      Chapter 4 Review (page 270-273, in text book)
      Concepts Test Problems #1, 4, 7, 8, 9, 11, 14
      Sample Test Problems #13, 14, 18-22 all, 28, 29

      Homemade Extra Review and Key

      Extra Practice for Sketching Graphs and Story Problems and Key


      Classroom Seat Numbers

      Note: Extra midterm review sessions:
      Wednesday, 4/2, 9:30 to 10:30 a.m. in LCB121
      Thursday, 4/3, 8:35 to 9:25 a.m. in JTB310
      Thursday, 4/3, 10:30 to 11:30 a.m. in JWB308


    • Final Exam Review:

      Final Exam Topics List

      Final Review Assignment

      Extra Final Review Problems and Extra Final Review Key(Answer to #37 should be 1/(4pi) .)

      Another teacher's reviews:
      his Midterm 1 Do #4, 5, 7-12 and here is the Key
      his Midterm 2 Do #3-6, 8 and here is the Key
      his Midterm 3 Do #3, 6-9 and here is the Key
      his Midterm 4 Do #1-5 and here is the Key

      Note: Extra Final Review Sessions:
      Friday, April 25, 9:30 to 11:00 a.m. in OSH 136
      Monday, April 28, 11:30 a.m to 1:00 p.m. in JTB 320
      Tuesday, April 29, 9:00 to 11:00 a.m., in JWB335