Spring 2012

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