Spring 2010

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