All submissions are due by class on the day indicated, unless specified otherwise.
Please note that future homework assignments are tentative based on previous course offerings. I may change assigned homework at any time before it is assigned. Schedule subject to change.
Schedule last updated April 28.
| Week (Reading to skim) | Monday | Tuesday | Thursday | Friday |
| 1: Introduction to fractals and chaos, dimension (ch 2+4) | (1) 3/3: Intros, def. of fractal Read ch 2 |
(2) 3/4: Dimension, Linear Fractals program. Read 4.1-3 HW0Bonus due |
(3) 3/6: Measure Read 2.6 |
(4) 3/7: Hausdorff measure Read 4.4 |
| 2: Feedback and iterated function systems, the Chaos game (ch 1+5, 6) | (5) 3/10: Similarity maps Skim ch 1 |
(6) 3/11: IFS 5.1-2 Project 1 due |
(7) 3/13: Chaos game ch 6.1-2 |
(8) 3/14: Chaos game and randomized IFS 6.3 |
| 3: L-systems (ch 7) | (9) 3/17: L-systems 7.1, 7.3-7.4 |
(10) 3/18:
Branching 7.6 HW2 due |
(11) 3/20: 1D Brownian motion 9.4 (first 6 pages) Project 2 due |
(12) 3/21:
Random midpoints 9.4 DQ11 due |
| 4: Random fractals: Brownian motion and fractal landscapes (ch 9) | (13) 3/24: Fractional Brownian motion Project 3 due |
(14) 3/25: Higher-D Brownian motion | (14a) 3/27: Project work | (14b) 3/28: Project work Project 4 due, 11:59pm |
| Spring Break | ||||
| 5: Chaos and horseshoe dynamics (ch 10) | (15) 4/7: Orbits Review 1.4-1.5 |
(16) 4/8: Graphical analysis 10.1 |
(17) 4/10: More Orbits | (18) 4/11: Attraction and repulsion |
| 6: Graphical analysis and Feigenbaum diagrams (ch 11) | (18b) 4/14: Review of the logistic function
|
(19) 4/15: Feigenbaum diagrams |
(20) 4/17: Bifurcations HW3 due |
(21) 4/18: Transition to chaos 11.1 |
| 7: Strange attractors (ch 12) | (22) 4/21:
Return of the quadratic iterator Project 5 due |
(23) 4/22: Controlling the quadratic map
|
(24) 4/24: Stabilizing control |
(25) 4/25: Strange attractors |
| 8: Julia sets (ch 13) | (26) 4/28: Ljapunov exponents
10.1,12.5 |
(27) 4/29: Julia sets 13.4 |
(28) 5/1: Julia and Mandelbrot sets 13.4 P5 topics/teams due |
(29) 5/2: Mandelbrot Exploration laptops to class |
| 9: Mandelbrot set (ch 14) | (30) 5/5: Mandelbrot Exploration (cont.) HW5 due |
(31) 5/6: Julia sets of transcendental functions | (32) 5/8: Project Workday | (33) 5/9: In-class presentations: Adam (demo), Andrew (demo) |
| 10: Presentations | (34) 5/12: In-class presentations: Harry (lecture) Course evaluations |
(35) 5/13: In-class presentations: Larry and Kevin (lecture), James (demo) |
(36) 5/15: In-class presentations: Chris (demo), Nick (demo), Michael (demo) | (37) 5/16: In-class presentations: Nathan
(demo), Ben and Rex (demo), Matt and
Kevin (demo) |