For October 1

• To read: Through Page 120
• Be sure to understand: The section on Interpreting the difference quotient. There is a typo in Theorem 4 on page 119 - There should not be a dot between a(t) and f(t) in the scalar product rule.

Email Subject Line: Math 236 10/1 Your Name

Reading Question:

1. Let f(t)=( 2 cos(t), 2 sin(t)). At any time t, what is the angle between the position vector f(t) and the velocity vector f '(t)?

For October3

• To read: From page 121 through the end of the section
• Be sure to understand: The section on Modeling free fall.

Email Subject Line: Math 236 10/3 Your Name

Reading Questions:

1. Opie tries to throw a rock across the pond rather than skipping it. What is the shape of the trajectory of the rock?

For October 6

For October 8

• To read: All, but you may skip the section on Symmetric scalar equations beginning on page 145 through Example 3. Section 3.1 should be a quick read.
• Be sure to understand: The discussion of planes beginning on page 347.

Email Subject Line: Math 236 10/8 Your Name

Reading Questions:

1. What are the standard basis vectors in R³?
2. What information about a line L do you need to determine an equation for the line?
3. What information about a plane P do you need to determine an equation for the plane?

For October 10

• To read: All
• Be sure to understand: The definition of the cross product and the section on the Geometry of the cross product.

Email Subject Line: Math 236 10/10 Your Name

Reading Questions:

1. If v and w are vectors in R³, what is the geometric relationship between v,w and their cross product, v x w ?
2. If v and w are vectors in R², explain why there is no cross product vector v x w.

For October 13

For October 15

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