MATHEMATICAL MODELING II WITH CALCULUS BC - Assignments 17-24
Unless otherwise noted, all assignments are from Introduction to Fractals and Chaos by Crayton W. Bedford. Remember that problems marked * will be presented by members of the class selected at random.
Assignment #17: Do p. 92: problems 5d, 6d*.(Use calculus techniques for any "neutral" fixed points.), 7c.
On the "Calculus Techniques" handout, p.6, do problem 3*.
Read Section 3.5.
Do p. 96: problems 1, 2*, 4*, and 5.
Do AB review problem #17*.
Assignment #18: On the "Calculus Techniques" handout, p.6, do problem 4*.
Do p. 96: problems 6* and 7.
Read Section 4.1, pp. 97-102 up to, but not including "Birth of Cycles."
Do p. 108: problems 1 and 2*.
Do the handout "The Logistic Function -- Part I."
Do AB review problem #18*.
Assignment #19: Do p. 108: problems 4* and 7.
Do the handout "The Logistic Function -- Part II."
Read pp. 102-107 starting with "Birth of Cycles."
Do p. 108: problem 9.
Do AB review problem #19.
Assignment #20: Read Section 4.2.
Do p. 116: problems 1, 2, 3, 5.
Do the AB review problem #20*.
Assignment #21: Do p. 109: problem 10*.
Do the handout "The Logistic Function - Part III."
Do AB review problem #21*.
Assignment #22: Read the handouts "Forward" and "5.13 THE FEIGENBAUM PLOT."
Do exercises 1-16 on the handout. Problems 12*, 15* and 16* are
presentation problems.
Do AB review problem #22*.
Assignment #23: Do p. 116: problem 6.
Do AB review problem #23*.
Assignment #24: Do p. 108: problem 8*.
Do p. 116: problems 7 and 8.
Do the handout "The Quadratic Family of Functions."
Do AB review problem #24*.