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 5 (pp. 50 - 51)
Problems:   1a, 1c, 1f, 2c, 2f, 4a, 4d, 4f, 5, 7

Note: For problem #4, you may want to use a graphing calculator or Maple to draw accurate graphs. For help with Maple you can type ?plot to review how to plot functions in Maple.

Chapter 6 (pp. 67 - 68)
Problems:   1a, 1b, 1c, 3, 4, 5, 6, 7, 8

Note: For the directions to problem #1, ignore the "sketch the phase portrait" instruction. Instead, describe in words the changes that take place before, at and after the bifurcation.

Additional Problem:
Prove the Repelling Fixed Point Theorem as stated in class on 9/12. Use the proof of the Attracting Fixed Point Theorem as a guide.