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Math 201 (section 3)
September 22, 2004
Be ready for another mini-quiz on Monday:
(1) a problem on linear approximations to vector-valued functions (see handout)
(2) something from 15.1 or 15.2
Read:
Section 15.1 (functions of two variables) - or at least admire the pictures
Notice the notion of a "graph" on page 926. We're back to the high-school notion of graphing: the parameters (x and y) become coordinates of the point plotted, along with the function value --- not like in Chapter 14. So, we expect that in Chapter 15, zero derivatives will be related to minima and maxima, and not to failures of smoothness.
Section 15.2 (limits and continuity)
Read ahead in Sections 15.3-15.6, about derivatives of functions of two variables.
Problems to turn in:
Section 15.1: 38, 40, 53-58 (two kinds of matching). (Odd-numbered answers are at page A111.)
Section 15.2: 8, 10, 16. (Hint: Level curves.)
(end)
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