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Topic: Vector valued functions
Replies: 9   Last Post: Mar 10, 1998 1:11 PM

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Chris & Sheila King

Posts: 484
Registered: 12/6/04
Vector valued functions
Posted: Feb 27, 1998 9:14 PM
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I teach an AB course, but have two students who are studying the BC
material independently (more or less...I help them out when they get
really stuck, but they are pretty bright and can read the book and
figure out most of the stuff themselves).

Anyhow, one of the ways I assist them is in targeting the material they
should work on each week. Today I was reviewing the BC outline and
notice that they need to learn vector-valued functions. This topic is
not in our text, so I have to supplement the material. Although I've had
a couple of other students take the BC exam (one in 1994 and one in
1996), I don't remember supplementing this material for them. Maybe they
just lucked out and such questions were not on the exam? Or maybe they
knew it because their AP Physics teacher covered that material???

Well, anyway, my question is this...

For derivatives, etc... of vector valued functions, do the students need
to be able to do functions with 3 vector components (should they be
comfortable with velocity and accel in 3 dimensions?), or are two
dimensions enough? Do they need to know dot product, the normal vector
(i..e. cross-product)?

Any guidelines or suggestions on how much of the vector material they
need to study would be appreciated.

Sheila King




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