| APPM 3010 Schedule (Fall 2016) | |||||||
| Wk | Date | Ch | Sec | Topic | Assignments | Due | |
| 1 | Aug 22 | 1 | Terminology | ||||
| 24 | 2 | 2,4 | One-D flows, qualitative analysis | ||||
| 26 | Chaos, the video | Ch 2 | §1 #1, 2, 4; §2 #3, 8; §3 #6; §4 #4; §8 #2, 6 | 7-Sep | |||
| 2 | 29 | Discussion Groups—Video | |||||
| 31 | 4,8 | Linear Stability, Numerics | |||||
| Sept 2 | 3 | 1,2 | Bifurcations: Saddle Node & transcritical | ||||
| 3 | Sept 5 | LABOR DAY | |||||
| 7 | HW Presentations, Bifurcation Theory | ||||||
| 9 | 3 | 4,5 | Bead on a Wire | Ch 3 | §1 #1, 2, 5; §2 #4, 5; §4 #4, 12; §5 #4; §7 #5 | 23-Sep | |
| 4 | 12 | 5,6 | Catastrophe (cusp bifurcations) | ||||
| 14 | 10 | 1 | Fixed Points, and Cobwebs | ||||
| 16 | 2 | Bifurcations etc. Logistic Map | |||||
| 5 | 19 | 2 | Logistic Map, Part II | ||||
| 21 | Logistic Lab Logistic Map: Computer Lab | Meet in Claire Rm 111 at Noon!!! | Lab is HW#3 | 3-Oct | |||
| 23 | 3 | HW Presentations and Period 2 | |||||
| 6 | 26 | 4 | Period 3 -> Chaos | ||||
| 28 | 5 | Lyapunov Exponents | |||||
| 30 | 6 | Lyapunov and Chaos | |||||
| 7 | Oct 3 | 4 | Periodic Windows | Ch 10 | §1 #10,11; §2 #4,6,8; §3 #3,7; §4 #2,6; §6 #5 | 14-Oct | |
| 5 | 6 | Universality | |||||
| 7 | 7 | Renormalization | |||||
| 8 | 10 | Arcadia by Tom Stoppard | A class reading of several scenes | ||||
| 12 | 11 | Fractals | The Hidden Dimension-Nova Video | ||||
| 14 | 1,2 | Cantor Sets, Uncountability | |||||
| 17 | 3 | Self-Similarity, Dimension | |||||
| 9 | 19 | 5 | Classification of Linear Systems | Ch 5 | §1 #7,10; §2 #4,8,10 E.C. #14 | Nov-9 | |
| 21 | 6 | 1,2 | Linear systems, Nullclines | Ch 6 | §1 #4,10; §3: #2,6,7, §5: #7 | Nov-9 | |
| 10 | 24 | Computer Demos, Phase Plane | |||||
| 26 | 3 | Linearization about Fixed Points | |||||
| 28 | 5 | Conservative Systems | Project Proposal Due! | ||||
| 11 | 31 | 7 | 1 | Limit Cycles Def. | |||
| Nov 2 | Gradient Systems and Lyapunov Functions | ||||||
| 4 | 2 | Poincare Bendixson Theorem | |||||
| 12 | 7 | 3 | Lorenz Model-the Water wheel | ||||
| 9 | 9 | 1 | HW in class | ||||
| 11 | 2 | Lorenz Analysis | |||||
| 13 | 14 | Lorenz Analysis-Lyapunov | |||||
| 16 | Poincare & Stoboscopic Maps, Std Map | ||||||
| 18 | Fixed Points and Stability | ||||||
| 14 | FALL BREAK | ||||||
| 23 | FALL BREAK | ||||||
| 25 | FALL BREAK | ||||||
| 15 | 28 | Henon Attractor, Dimension | Dec 2 | ||||
| 30 | 12 | 2 | Std Map Lab | Meet in Claire Rm 111 at Noon!!! | |||
| Dec 2 | 12 | 1 | Baker's Transformation, Horseshoe | ||||
| 16 | 5 | Presentations | Justin Tyse and Elliot Shugerman | ||||
| 7 | Presentations | Cody Sharp and Maria Pazos | |||||
| 9 | Presentations | Kevin Powell and Rachel Robey | Written Projects Due | ||||
| 13 | Final | Presentations 1:30-5:00PM | Everyone Else | ||||