This schedule is subject to change.
| Date | Topic |
| Wed 1/10 | Introduction, 2 Examples |
| Fri 1/12 | No class meeting
- Read Chapter 1 |
| Mon 1/15 | MLK Day |
| Wed 1/17 | 3 Orbits |
| Fri 1/19 | 4 Graphical analysis |
| Mon 1/22 | Seminar day |
| Wed 1/24 |
5.1, 5.2, 5.3 Fixed
points |
| Fri 1/26 |
5.4, 5.5 More fixed
points and periodic points |
| Mon 1/29 |
Applications |
| Wed 1/31 |
Seminar day |
| Fri 2/2 |
6.1 Quadratic map |
| Mon 2/5 |
6.2, 6.3 Bifurcations |
| Wed 2/7 |
Seminar day |
| Fri 2/9 |
7.1, 7.2 Quadratic family |
| Mon 2/12 |
7.2, 7.3 More quadratic
family, Cantor set |
| Wed 2/14 |
7.3 Cantor set |
| Fri 2/16 |
Rotations |
| Mon 2/19 |
8.1 Orbit diagrams |
| Wed 2/21 |
8.2, 8.3 Period-doubling |
| Fri 2/23 |
Review/seminar day |
| Mon 2/26 |
First exam - no
class meeting |
| Wed 2/28 |
9.1, 9.2 Symbolic
dynamics |
| Fri 3/2 |
9.2, 9.3 More symbolic
dynamics |
| 3/3-3/18 |
Spring
break/Journeys/Peak week |
| Mon 3/19 |
9.3, 9.4 More symbolic
dynamics |
| Wed 3/21 |
9.3, 9.4 More symbolic dynamics |
| Fri 3/23 |
Seminar day |
| Mon 3/26 |
10.1 A definition of
chaos |
| Wed 3/28 |
10.1, 10.2 More
definition of chaos |
| Fri 3/30 |
Easter |
| Mon 4/2 |
10.2, 10.3 More
definition of chaos |
| Wed 4/4 |
11.1 Period 3 implies
chaos, 11.2 Sharkovskii's Theorem |
| Fri 4/6 |
11.3, 11.4 Subshifts of
finite type |
| Mon 4/9 |
Seminar day |
| Wed 4/11 |
14.1-14.6 Fractals |
| Fri 4/13 | 14.6 Fractal dimension |
| Mon 4/16 |
13 Newton's method |
| Wed 4/18 |
13 More Newton's method |
| Fri 4/20 |
Review/seminar day |
| Mon 4/23 |
Second exam - no
class meeting |
| Wed 4/25 |
Shifts
of finite type |
| Fri 4/27 |
Shifts of finite type, entropy |
| Mon 4/30 |
Entropy |
| Wed 5/2 |
Seminar day |