Quiz 3 Review

Exam 3 will be given in class on Tuesday, Nov. 25.
You may use one new 3"-by-5" note card and your calculator but no other aids.

Be prepared to answer these questions and do simple related problems.

Given a particular difference equation [such as a_n+1 = 2 a_n+3 or b_n = .000025b_n-1(90000 - b_n-1)], identify what kind of model it specifies.
Review Table 14.1, p. 320.
What is one general form of the difference equation (recurrence) for logistic growth? [See p. 295.]
Do we know a general functional equation for the solution?
What sorts of long-run (large n) behavior can be exhibited by a solution of a logistic growth model?
What is one general form of the difference equation (recurrence) for logistic growth with constant harvesting? [See class notes.]
What are the possibilities for the long-run (large n) population levels for the logistic growth model with constant-rate harvesting? [See Fig. 13.12, p. 309.]
Given a graph of the function f(x), use graphical iteration to find (approximately) values generated by the recurrence (difference equation) x_n+1 = f(x_n)--typically a "staircase" or "cobweb" diagram. [See class notes, portfolio.]