Make a list of all definitions in the section (a few words each is fine). Summarize any lengthy definitions introduced in this section in your own words.
No definitions
Make a list of all theorems (lemmas, corollaries) in the section (a few words each is fine). Summarize each one introduced in this section in your own words.
No new theorems
Make a note of any especially useful properties, tricks, hints, or other materials.
Strategy for problem solving:
``Warning: a common error is to substitute the given numerical information (for quantities that vary with time) too early.'' (p. 202). Substitute only after the differentiation is complete.
Summarize the section in two or three sentences.
``In a related rates problem the idea is to compute the rate of change of one quantity in terms of the rate of change of another quantity (which may be more easily measured). The procedure is to find an equation that relates the two quantities and then use the Chain Rule to differentiate both sides with respect to time.'' (p. 199)
The author does bring in the notions from the Principles of Problem Solving (p. 59), to help us solve these story problems.
Problems:
Problems, pp. 203-205, #5-8, 18, 22, 25, 28, 32
On the board: #1, 2, 9, 10