Attendance is mandatory on seminar days.
Chapters are from Devaney, except those marked ASY, which are from Alligood, Sauer, and Yorke. This schedule is subject to change.
Date | Topic |
Wed 1/13 | Introduction, 2 Examples |
Fri 1/15 | 3 Orbits |
Mon 1/18 | Martin Luther King, Jr., Day |
Wed 1/20 | 4 Graphical analysis |
Fri 1/22 | Seminar day |
Mon 1/25 | 5.1, 5.2, 5.3 Fixed points |
Wed 1/27 | 5.4, 5.5 More fixed points and periodic points |
Fri 1/29 | 6.1 Quadratic map |
Mon 2/1 | 6.2, 6.3 Bifurcations |
Wed 2/3 | Seminar day |
Fri 2/5 | 7.1, 7.2 Quadratic family |
Mon 2/8 | 7.2, 7.3 More quadratic family, Cantor set |
Wed 2/10 | 7.3 Cantor set |
Fri 2/12 | 8.1 Orbit diagram |
Mon 2/15 | 8.2, 8.3 Period-doubling |
Wed 2/17 | Review/seminar day |
Fri 2/19 | 9.1, 9.2 Symbolic dynamics |
Mon 2/22 | 9.2, 9.3 More symbolic dynamics |
Wed 2/24 | 9.3, 9.4 More symbolic dynamics |
Fri 2/26 | Seminar day |
Mon 3/1 | 10.1 A definition of chaos |
Wed 3/3 | 10.1, 10.2 More definition of chaos |
Fri 3/5 | 10.2, 10.3 More definition of chaos |
Mon 3/8 | Spring Break |
Wed 3/10 | |
Fri 3/12 | |
Mon 3/15 | 11.1 Period 3 implies chaos, 11.2 Sharkovskii's Theorem |
Wed 3/17 | 11.3, 11.4 Subshifts of finite type |
Thurs 3/18 | Gladden Lecture, Dr. Riddle, "Pioneering Women in Mathematics" |
Fri 3/19 | 14.1-14.6 Fractals |
Mon 3/22 | 14.6 Fractal dimension |
Wed 3/24 | ASY 2.1 Two-dimensional maps |
Fri 3/26 | Seminar day |
Mon 3/29 | ASY 2.2, 2.3 More two-dimensional maps |
Wed 3/31 | ASY 2.3, 2.4 More two-dimensional maps |
Fri 4/2 | Easter Break |
Mon 4/5 | ASY 2.5 More two-dimensional maps |
Wed 4/7 | Review/seminar day |
Fri 4/9 | ASY 2.6 Stable and unstable manifolds |
Mon 4/12 | ASY 5.4 Fixed points for two-dimensional maps |
Wed 4/14 | ASY 5.4, 5.6 Smale horseshoe |
Fri 4/16 | ASY 5.6, 10.2 Horseshoes |
Mon 4/19 | Seminar day |
Wed 4/21 | SpARC Day - no classes |
Fri 4/23 | Circles |
Mon 4/26 | More circles, review |