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
Fall, 2016




Class Notes



Class Schedule/Information

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

      Week 1 (August 22-26)

    • 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 class activity to review material.

      Week 2 (August 29-September 2)

    • 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 lecture video (2.1)
    • For Friday's class: be prepared for class activity to review material.

      Week 3 (September 5-9)

    • For Monday's class: relax, Monday is a holiday!
    • For Tuesday's class: watch 8 Two Problems, One Theme lecture video (2.1)
    • For Wednesday's class: watch 9 The Derivative lecture video (2.2)
    • For Friday's class: be prepared for class activity to review material.

      Week 4 (September 12-16)

    • 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 (September 19-23)

    • 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 class activity to review material.

      Week 6 (September 26-30)

    • 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 class activity to review material.

      Week 7 (October 3-7)

    • For Monday's class: watch 16A & B Maximum and Minimum Values lecture videos (3.1)
    • For Tuesday's class: watch 17A, B & C Monotonicity and Concavity lecture videos (3.2)
    • For Wednesday's class: watch 18A & B Local Extrema lecture videos (3.3)
    • For Friday: be prepared for class activity to review material.

      Week 8: October 10-14 is Fall Break--there is NO school!


      Week 9 (October 17-21)

    • 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: be prepared to ask questions as review for second midterm.
    • For Friday's class: be prepared to take the Midterm 2

      Week 10 (October 24-28)

    • For Monday's class: be prepared to do more practice for section 3.4
    • For Tuesday's class: watch 20 The Mean Value Theorem for Derivatives lecture video (3.6)
    • For Wednesday's class: watch 21A & 21B Solving Equations Numerically (Bisection and Newton's method) lecture videos (3.7)
    • For Friday's class: be prepared for class activity to review material.

      Week 11 (October 31-November 4)

    • For Monday's class: watch 22 Antiderivatives lecture video (3.8)
    • For Tuesday's class: watch 23 Differential Equations lecture video (3.9)
    • For Wednesday's class: watch 24A & 24B Introduction to Area (parts 1 and 2) lecture videos (4.1)
    • For Friday's class: be prepared for class activity to review material.

      Week 12 (November 7-11)

    • For Monday's class: watch 25A & 25B The Definite Integral (parts 1 and 2) lecture videos (4.2)
    • For Tuesday's class: watch 26 The First Fundamental Theorem of Calculus lecture video (4.3)
    • For Wednesday's class: watch 27 The Second Fundamental Theorem of Calculus lecture videos (4.4)
    • For Friday's class: be prepared for class activity to review material.

      Week 13 (November 14-18)

    • 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: be prepared to ask questions as review for third midterm.
    • For Friday's class: be prepared to take the Midterm 3.

      Week 14 (November 21-25)

    • For Monday's class: watch 29B Area of Plane Region lecture video (5.1)
    • For Tuesday's class: watch 30A & 30B Volume of Solids--Disk and Washer Methods lecture videos (5.2)
    • For Wednesday's class: be prepared for class activity to review material.
    • For Friday: relax and eat your Thanksgiving dinner leftovers!

      Week 15 (November 28-December 2)

    • For Monday's class: watch 30C & 30D Volume of Solids--Shell Method and more practice lecture videos (5.3)
    • For Tuesday's class: watch 31A & 31B Length of a Plane Curve (parts 1 and 2) lecture videos (5.4)
    • For Wednesday's class: watch 31C Surface Area lecture video (5.4)
    • For Friday's class: be prepared for class activity to review material.

      Week 16 (December 5-9)

    • For Monday's class: watch 33A & 33B Moments and Center of Mass (parts 1 and 2) lecture videos (5.6)
    • For Tuesday's class: be prepared to ask questions as review for the final exam.
    • For Wednesday's class: be prepared for Final Review.
    • Note: There are NO classes on Friday--it's Reading Day.

      Week 17 (December 12-16) (FINAL EXAMS WEEK)

    • Tuesday, December 13, 9:00 to 11:00 am, an Extra Final Review (location TBA)
    • Wednesday, December 14, 10:30 am to 12:30 pm, Final Exam (in our usual classroom)





    Miscellaneous

    Algebra/Arithmetic/Trigonometry Reviews

    • Old Quiz (on Fraction Arithmetic and Rules of Exponents) and Key
      Note: If you need review of rules of exponents, go here and watch 5.1 Integer Exponents and/or 7.1 Radicals and Rational Exponents lecture videos (or read through the post notes)..

    • Fraction Arithmetic (with Key)
      Note: If you need review of arithmetic with rational expressions (fractions), go here and watch the 6.2, 6.3 and/or 6.4 lecture videos on arithmetic with rational expressions (or read through the post notes).

    • Dividing Polynomials (with Key)
      Note: If you need a lecture video to remind you how to do polynomial division, you can go here and watch the 6.5 Dividing Polynomials video lecture. For synthetic division review, you can watch the 2.3 Synthetic Division lecture video on this page (or read through the post notes)..

    • Trigonometry Review (trig functions of common angles)

    • Practice finding asymptotes of rational functions and Key

    • A family of algebraic/trigonometric function graphs that you should know. (Note: these all have cool animations so you can see how transformations change the base graph.)

      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.

        Midterm 1 Review problems #1-8 (except #6(a)), from class notes (above)
            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 Weekly Assignment problems, if you need more practice.

        Extra Practice Problems and its key

      • Midterm 2 Review: (covers sections 2.4-2.9, 3.1-3.3, 3.5)
        Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during 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 #1-37 odd

        Homemade Extra Review and its Key

        Extra Practice for Sketching Graphs and Story Problems (do #1, 3-6, 9, 12-17, 20) and its Key

        Extra Midterm 2 Review Problems and its key

      • Midterm 3 Review: (covers sections 3.4, 3.6, 3.7, 3.8, 3.9, 4.1-4.5)
        Note: For the exam, you may bring one 8.5x11 inch paper of notes (front and back). No electronics allowed during the exam.

        Chapter 3 Review (page 209-211, in text book)
        Concepts Test Problems #17, 18, 19-26 all, 35, 36, 41, 42, 43, 45
        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, 12, 13, 15-22 all, 31, 32, 34, 35
        Sample Test Problems #1-17 odd, 18-23 all, 25-29 all

        Homemade Extra Review and Key

        Extra Practice for Sketching Graphs and Story Problems (do #2, 7, 8, 10, 11, 18, 19) and Key

        Another great site for optimization problems

        Extra Optimization Story Problems (a bit challenging)

        Extra Midterm 3 Review Problems (skip #3) and its key (Note: For #2c final answer, the constant on the right side should be -7/16, not 113.)

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

        Book Review:
        Chapter 1 Review (Sample Test Problems) #2-24 even, 32, 34, 36
        Chapter 2 Review (Sample Test Problems) #1, 6-28 even, 34-46 even, 41
        Chapter 3 Review (Sample Test Problems) #2-36 even, 40, 42, 49-52 all, 54-74 even
        Chapter 4 Review (Concepts Test Problems) #10-13 all, 16, 19, 20
        Chapter 4 Review (Sample Test Problems) #1-29 odd, 16, 22
        Chapter 5 Review (Concepts Test Problems) #1, 3, 4, 7, 8, 10, 14, 16, 18
        Chapter 5 Review (Sample Test Problems) #1-6 all, 8, 11, 12, 15, 16, 18-23 all
        For extra story problem practice, do 2.8 #4, 13 and 3.4 #6, 8, 14, 15.

        Extra Final Review Problems and Extra Final Review Key (Answer to #5b is missing the denominator, #7d is missing a factor of 2, and #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

        Another Source for past exams (from another instructor)

        Also, you should go back to the "Extra Practice for Sketching Graphs and Story Problems" link above (under Midterm 3 Review) and do ALL those problems!!