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