Topics for Test, Math 313- 2, May 6, 2003
The questions of the
Test from 2002 are all reasonable.
Also, question 5 from Final 313-1 in
2002.
The following topics have been covered in this course:
problems relating to each topic from previous tests are given.
- Invariant measures and frequency measures:
Sections 4.4.1, 4.4.2, 4.4.3
- HW 4.4.1, 4.4.2, 4.4.3
- problems 5 , Final 313-1, 2002
- Linear Maps: Section 5.1
- HW 5.5.1
- problem 1, Test 2002
- Stability of periodic points: Sections 5.2,
- HW 5.2.3, 5.2.6
- problem 2, Test 2002
- Stable manifolds: Section 5.3
- HW 5.3.1
- problem 3, Test 2002
- Geometric horseshoe: Section 6.1.
- HW 6.1.1, 6.1.3
- problem 5, Test 2002
- Symbolic dynamics (correctly aligned boxes, Markov partitions):
Section 6.2.1 & 6.2.2 (latest version).
- HW 6.2.1 & 6.2.2 (6.3.1 as originally assigned)
- problem 4, Test 2002
- Attractors: Section 6.4: used as examples for Markov
partitions