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