Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Bilodeau and Thie's book, the required text for the course. You should write up solutions neatly to all problems, paying particular attention to your arguments and proofs. 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.

**Section 4.3**

Problems: 11a, 11c, 11e, 12a, 12c, 18, 19a

**Hint:** Problems 18 and 19a are nice applications
of the Mean Value Theorem. Try using proof by contradiction
for number 18. Suppose that p is also a fixed point. Apply the Mean
Value Theorem on the interval [p,q].

**Note:** Problem #18 suggests a nice extra credit problem, proved in most
dynamical systems courses. See problem #5 in the
Extra Credit problems for details.

**Section 5.1**

Problems: 1, 3a, 10, 11

**Section 5.2**

Problems: 1a, 1b, 4, 5a, 5b, 12

**Hint:** In problem #5, try finding an upper bound for the integrand over the
interval of integration.