Chapters are from Devaney, except those marked GS, which are from Grinstead and Snell. This schedule is subject to change.
Date | Topic |
Wed 1/18 | Introduction, 2 Examples |
Fri 1/20 | 3 Orbits |
Mon 1/23 | 4 Graphical analysis |
Wed 1/25 | Seminar day |
Fri 1/27 | 5.1, 5.2, 5.3 Fixed points |
Mon 1/30 | 5.4, 5.5 More fixed points and periodic points |
Wed 2/1 | Applications |
Fri 2/3 | Seminar day |
Mon 2/6 | 6.1 Quadratic map |
Wed 2/8 | 6.2, 6.3 Bifurcations |
Fri 2/10 | Seminar day |
Mon 2/13 | 7.1, 7.2 Quadratic family |
Wed 2/15 | 7.2, 7.3 More quadratic family, Cantor set |
Fri 2/17 | 7.3 Cantor set |
Mon 2/20 | 8.1 Orbit diagram |
Wed 2/22 | 8.2, 8.3 Period-doubling |
Fri 2/24 | Review/seminar day |
Mon 2/27 | First exam - no class meeting |
Wed 2/29 | 9.1, 9.2 Symbolic dynamics |
Fri 3/2 | 9.2, 9.3 More symbolic dynamics |
Mon 3/5 | 9.3, 9.4 More symbolic dynamics |
Wed 3/7 | Seminar day |
Fri 3/9 | 10.1 A definition of chaos |
Mon 3/12 | Spring break |
Wed 3/14 | |
Fri 3/16 | |
Mon 3/19 | 10.1, 10.2 More definition of chaos |
Wed 3/21 | 10.2, 10.3 More definition of chaos |
Fri 3/23 | 11.1 Period 3 implies chaos, 11.2 Sharkovskii's Theorem |
Mon 3/26 | 11.3, 11.4 Subshifts of finite type |
Wed 3/28 | Seminar day |
Fri 3/30 | 14.1-14.6 Fractals |
Mon 4/2 | 14.6 Fractal dimension |
Wed 4/4 | 13 Newton's method |
Fri 4/6 | Easter break |
Mon 4/9 | 13 More Newton's method |
Wed 4/11 | Review/seminar day |
Fri 4/13 | Second exam - no class meeting |
Mon 4/16 | Linear algebra |
Wed 4/18 | GS 11.1 Markov chains |
Fri 4/20 | GS 11.2, 11.3 Absorbing and ergodic Markov chains |
Mon 4/23 | GS 11.3 Ergodic Markov chains, attracting equilibria |
Wed 4/25 | Seminar day |
Fri 4/27 | Cocyclic shifts |
Mon 4/30 | More cocyclic shifts, summary, review |