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
Summer, 2016




Class Schedule/Information

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

      Before classes start

    • Quiz 0 on Monday will cover algebra and trigonometry topics that will be necessary in this class
    • For Monday's lecture, watch videos:
          1 Slope of a Line (Review)
          2 Introduction to Limits (1.1)
          3 Limit Properties (1.3)
          4A & 4B Limits at Infinity (1.5)

      Monday, May 16

    • Quiz 1 tomorrow will cover sections 1.1 and 1.3
    • For tomorrow's lecture, watch videos:
         4C Squeeze Theorem (rest of 1.5)
         6 Continuity (1.6)
         7 Slope of a Curve (2.1)
         8 Two Problems, One Theme (2.1)

      Tuesday, May 17

    • Quiz 2 tomorrow will cover sections 1.5, 1.6, 2.1
    • For tomorrow's lecture, watch videos:
         5 Trigonometric Limits (1.4)
         9 The Derivative (2.2)
         10 Derivative Rules (2.3)

      Wednesday, May 18

    • Quiz 3 tomorrow will cover sections 2.2 and 2.3
    • For tomorrow's lecture, watch videos:
         11 Derivative of Trigonometric Functions (2.4)

      Thursday, May 19

    • Midterm 1 tomorrow will cover sections 1.1, 1.3-1.6, 2.1-2.3

      Friday, May 20

    • Quiz 4 Monday will cover sections 1.4 and 2.4
    • For Tuesday's lecture, watch videos:
         12 The Chain Rule (2.5)
         13 Higher Order Derivatives (2.6)
         14A & B Implicit Differentiation (2.7)


      Monday, May 23

    • Quiz 5 tomorrow will cover sections 2.5, 2.6 & 2.7
    • For tomorrow's lecture, watch videos:
         15A & B Related Rates (2.8)
         15.5 Differentials & Approximations (2.9)
         16A & B Maximum and Minimum Values (3.1)

      Tuesday, May 24

    • Quiz 6 tomorrow will cover sections 2.8 and 2.9
    • For tomorrow's lecture, watch videos:
         17A, B & C Monotonicity & Concavity (3.2)
         18A & B Local Extrema (3.3)
         19A & B Sketching the Graph of a Function (3.5)

      Wednesday, May 25

    • Quiz 7 tomorrow will cover sections 3.1, 3.2 and 3.3
    • For tomorrow's lecture, watch videos:
         20.5 Optimization Word Problems (parts 1 and 2) (3.4)

      Thursday, May 26

    • Midterm 2 tomorrow will cover sections 2.5-2.9, 3.1-3.3, 3.5

      Friday, May 27

    • Quiz 8 on Tuesday will cover sections 3.2, 3.3 and 3.5
    • For Tuesday's lecture, watch videos:
         20 Mean Value Theorem (3.6)
         21A & B Solving Equations Numerically (3.7)
      Note: Monday is a holiday, there is no school! :)


      Monday, May 30

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

      Tuesday, May 31

    • Quiz 9 tomorrow will cover sections 3.4, 3.6, and 3.7
    • For tomorrow's lecture, watch videos:
         22 Antiderivatives (3.8)
         23 Differential Equations (3.9)
         24A & B Introduction to Area (4.1)

      Wednesday, June 1

    • Quiz 10 tomorrow will cover sections 3.8, 3.9, and 4.1
    • For tomorrow's lecture, watch videos:
         25A & B The Definite Integral (4.2)
         26 The First Fundamental Theorem of Calculus (4.3)

      Thursday, June 2

    • Midterm 3 tomorrow will cover sections 3.4, 3.6-3.9, 4.1-4.2

      Friday, June 3

    • Quiz 11 Monday will cover sections 4.2 and 4.3
    • For Monday's lecture, watch videos:
         27 The Second Fundamental Theorem of Calculus (4.4)
         28A & B The Mean Value Theorem for Integrals (4.5)
         29A & B Area of a Plane Region (5.1)
      Note: Lecture Video #28C is an extra lecture with lots of integral practice. If you are having a hard time with u-substitution, I would highly recommend that video lecture.

      Monday, June 6

    • Quiz 12 tomorrow will cover sections 4.4, 4.5, and 5.1
    • For tomorrow's lecture, watch videos:
         30A & B Volume of Solids--Disk & Washer Methods (5.2)
         30C & D Volume of Solids--Shell Method/More Practice (5.3)

      Tuesday, June 7

    • Quiz 13 tomorrow will cover sections 5.2 and 5.3
    • For tomorrow's lecture, watch videos:
         31A & B & C Length of a Plane Curve & Surface Area (5.4)
         32 Work (5.5)
         33A & B Moments & Center of Mas (5.6)

      Wednesday, June 8

    • Quiz 14 tomorrow will cover sections 5.4, 5.5, and 5.6
    • For tomorrow's lecture, start doing the final review problems.

      Thursday, June 9

    • The final exam tomorrow will cover all sections covered in this course, which is most of chapters 1-5.

      Friday, June 10

    • The final celebration of what you know from 1210 is today!




    Class Notes





    Miscellaneous

  • Tangent/Secant lines vs. trigonometric functions

  • Unit Circle (Trig)

  • Notes on Limits

  • 5.3 #23(c) (from homework)

  • Book Formulas Table

  • Last few examples from chapter 5 notes (worked out)



    Algebra/Arithmetic/Trigonometry Reviews