Topics for Test 1, Math 313- 1, October 21, 2003

The following topics have been covered in this course:
problems relating to each topic from previous tests are given.

1. Calculate periodic orbits and count periodic orbits: Sections 9.1
   • HW 9.1.1(a,b), 9.1.2, 9.1.3, 9.1.4
   • problem 1, Test 1, 2003
   • problems 1 & 2, Test 1, 2002
   • problem 1 Test, 1999
   • problems 1 &2 Test, 1998
2. Graphical method of iteration: Section 9.2
   • HW 9.2.1
   • problem 2b, Test 1, 2003
   • problem 3b, Test 1, 2002
   • problem 2b Test, 1999
   • problem 3b Test, 1998
   • problem 1b Test, 1992
3. Stability: Sections 9.3,
   • HW 9.3.1, 9.3.6, 9.3.9, 9.3.12
   • problem 2a, 3, Test 1, 2003
   • problem 3a, Test 1, 2002
   • problem 2a Test, 1999
   • problem 3a Test, 1998
   • problem 1a Test, 1992
4. Bifurcation of periodic points: Section 9.4
   • HW 9.4.1, 9.4.2, 9.4.3
5. Schwarzian derivative: Section 9.4.
   • HW 9.5.1, 9.5.2, 9.5.3
   • problem 4, Test 1, 2003
   • problem 1a, Test 2, 2002
6. Conjugacy: Section 9.6.
7. Applications: Section 9.7.
• HW 9.7.1