Topics for Test 2, Math 313- 1, February 25, 2003

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

1. Periodic orbits from transition graphs, including Sharkovkii Theorem: Sections 3.1
   • HW 3.1.1, 3.1,2, 3.1.3
   • problem 2, Test 2 2002
   • problem 5, Final 1999
2. Topological Transitivity and symbolic dynamics: Section 3.2
   • HW 3.2.1, 3.2.3
   • problem 4, Test 1 2002
3. Sensitive dependence: Sections 3.3,
   • HW 3.3.1, 3.3.5
4. Cantor sets : Section 3.4
   • HW 3.4.1, 3.4.2
   • problem 4, Test 2 2002
   • problem 3acd, Final 2002
   • problem 3, Test 1992
   • problem 4, Final 1999
5. Subshifts for piecewise expanding maps: Section 3.5.
   • HW 3.5.1
   • problem 5abcf, Final 2002
6. Applications: Section 3.6.