Last updated 2/10/17

The due date for assigned reading is the next class period after the Date Assigned.

Section Number	Questions
12.1	No assigned questions.
12.2	When are two vectors parallel? What is a unit vector?
12.3	Why is there no associative law in Theorem 2? Will FOIL work for dot products? In the Corollary to Theorem 3, why are a and b required to be nonzero? Is (u.v)/|v| a vector or a scalar quantity?
12.4	Is the cross product of two vectors a vector or a scalar quantity? In the proof of Theorem 6, how did they get from after the second equal sign to after the third equal sign?
10.1	How does one parametrize a circle?
12.5	What does an equation of a line look like in three dimensions? Why? What does an equation of a plane look like? Why?
12.6	Is a cylinder of finite height? Need it have a circular "base"? What is the primary tool for visualizing a surface (without technology)?
13.1	What is the difference between a continuous vector function and a space curve? What does it mean to say that the limit as t approaches a of the vector function r is b?
13.2	What differentiation rule from Calc I do the rules for the cross product and dot product remind you of? How does one differentiate or integrate a vector function?
13.3	What do they mean by "parametrize with respect to arc length"? Why should "curvature" be defined as |dT/ds|? What does this have to do with curving?
13.4	No questions.
14.1	No questions.
14.2	In single-variable calculus, a limit exists if the limits from the left and right both exist and agree. Why is there no analogous theorem in 14.2? Do you understand the ε - δ definition of the limit?
14.3	No questions assigned.
14.4	What is the analogy between tangent lines and tangent planes? What is meant by "linear approximations"?
14.5	What are the two cases of the chain rule? Why do we need both? Why are there two formulas for Case 2 but only one for Case 1?
14.6	What is the role of the gradient vector in determining directional derivatives? Verify for yourself that the directional derivative in the direction of u is the scalar projection of ∇f onto u.
14.7	What is the relationship between the one-variable case for finding extrema and the two-variable case? What is a "saddle point"? What is a closed set?