Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the course text by Devaney. Unless otherwise indicated, all parts of a problem (a), (b), etc. should be completed. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.
Note: Please list the names of any students or faculty who you worked with on the assignment.
Chapter 3 (pp. 26 - 28)
Problems: 3, 5, 7 (b, c, e, h), 8, 11, 12, 13, 14
Note: For problem #12, delete the phrase "Can you" in the directions. Using your answer to problem #14, explain why the doubling function has a period n cycle for any natural number n.
Chapter 4 (pp. 34 - 35)
Problems: 1a, 1g, 2a, 4a, 4e, 4f, 6, 7 (a, b, c, d, e, g)
Note: For problem #6, change F(x) = x^2 - 1.1 to the function F(x) = x^2 - 2. For problems #7e and #7g, describe the difference in orbits between "a" being positive and "a" being negative.