Math 236 - Multivariable Calculus - Reading Assignments
November 1998

Be sure to check back, because this may change during the semester.
(Last modified: Friday, November 6, 1998, 9:17 AM )

I'll use Maple syntax for mathematical notation on this page.
All numbers indicate sections from Multivariable Calculus by Ostebee/Zorn.


For November 2

Section 3.2 Calculating Integrals by Iteration
  • To read : All
  • Be sure to understand : The section "Iteration: why it works"

Email Subject Line : Math 236 11/2 Your Name

Reading Question:

    What is the advantage of calculating double integrals by iteration?

For November 4

Section 3.2 Calculating Integrals by Iteration
Reread the section, especially the proof of Theorem 1 but there are no reading questions for today.

For November 6

Appendix B Calculus in Polar Coordinates
  • To read : All, but you can de-emphasize the part before the section on Finding Area in Polar Coordinates
  • Be sure to understand : The section Finding Area in Polar Coordinates

Email Subject Line : Math 236 11/6 Your Name

Reading Question :

    When approximating an area in rectangular coordinates, we form rectangles each of width x. In polar coordinates, what do we form rather than rectangles?

For November 9

Section 3.3 Double Integrals in Polar Coordinates
  • To read : All
  • Be sure to understand : The section "Polar Integration - How It Works"

Email Subject Line : Math 236 11/9 Your Name

Reading Questions :

  1. Why would you ever want to convert a double integral from rectangular to polar coordinates?
  2. What is the shape of a polar rectangle?

For November 11

Section 3.3 Double Integrals in Polar Coordinates
  • To read : Reread the section
  • Be sure to understand : The section "Polar Integration - Why It Works"

Email Subject Line : Math 236 11/11 Your Name

Reading Question :

    In calculating a double integral in polar coordinates, where does the extra 'r' term in the integrand come from?

For November 13

Exam 2 today. No Reading Assignment.

For November 16

Section 4.1 Linear, Circular, and Combined Motion
  • To read : All
  • Be sure to understand : Examples 2 and 6

Email Subject Line : Math 236 11/16 Your Name

Reading Questions :

  1. Give the parametric equation for the path of a particle moving around the circle of radius 1 centered at (1,1) with speed 3.
  2. In Example 6, why does the text use the parametrization (cos(t), -sin(t)) for the circle, rather than (cos(t), sin(t))?

For November 18

Section 4.1 Linear, Circular, and Combined Motion
    Reread the section for today, but no reading questions to send in.

For November 20

Section 5.1 Line Integrals
  • To read : All
  • Be sure to understand : The definitions of a vector field and of the line integral

Email Subject Line : Math 236 11/20 Your Name

Reading Questions :

  1. Consider the vector field graphed in Example 2. If you dropped a particle at the point (-2,4), describe the path that the particle would follow.
  2. Consider the vector field graphed in Example 1. If you dropped a particle at the point (2,2), describe the path the particle would follow.

For November 23

Section 5.1 Line Integrals
  • To read : Reread the section for today.

Email Subject Line : Math 236 11/23 Your Name

Reading Question :

    What is a physical interpretation of the line integral? Does this make sense to you?

For November 30

Section 5.2 More on Line Integrals; A Fundamental Theorem
  • To read : All
  • Be sure to understand : The statements of Theorem 1 and 2, and Example 4.

No reading questions to send in since this is the first day back from break.


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Last modified: Friday, November 6, 1998, 9:17 AM