Thursday, October 8, 2009

Week 7: Exploring sinusoidal functions

Well, we didn't spend enough time on the activity in week 6. There was homework to do, and my plans for networking and groupworking didn't come to pass.

This week, we'll explore transformations of the sine and cosine functions to parallel section 6.5 in the book and revisit transformations of functions in general. At the same time, we can hit those big words we didn't quite get to last week. I'm especially thinking about: period, amplitude, midline, horizontal shift, and phase shift.

We'll develop procedures for finding these values when given sine and cosine functions in a variety of forms, and vice versa. Then we'll apply the procedures to develop models of realistic situations. Textbook problems 28 and 35 (section 6.5, p. 277) are fine candidates. Download them here.

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