Week |
Topics |
Assignments |
Jan 26 - 30
|
Examples of Dynamical Systems: 1.1
Preliminaries from Calculus: 1.2
|
|
Feb 2 - 6
|
Preliminares from Calculus: 1.2
Elementary Definitions: 1.3
|
Section 1.2 # 4, 5, 6, 7, 8, 9
|
Feb 9 - 13
|
Hyperbolicity: 1.4
An Example: The Quadratic Family: 1.5
|
Section 1.3 # 6, 7, 9, 10
Section 1.4 # 1a, 1k, 2b, 2e, 6
|
Feb 16 - 20
|
An Example: The Quadratic Family: 1.5
|
Section 1.5: 1, 3, 6, 7, 8
|
Feb 23 - 27
|
Symbolic Dynamics: 1.6
Topological Conjugacy: 1.7
|
Section 1.6: 4, 6
Section 1.7: 1,2, 3 |
Mar 1 - 6
|
Chaos:1.8
|
Section 1.8 # 1,3,6, 7, 8, 9, 10
|
Mar 8 - 12
|
1.8 Chaos
Midterm!
PostScript, PDF,HTML,
|
|
Mar 15 - 19
|
Structural Stability: 1.9
|
Section 1.9: 1,2,3,5,6,12,17
|
Mar 22 - 26
|
Sarkovskii's Theorem: 1.10
|
You can choose one of the following
papers and explain to us in half hour
what is the paper about.
Projects,
|
Mar 29 - Apr 2
|
Sarkovskii's Theorem: 1.10
|
|
Apr 5 - 9
|
Spring Break
|
|
Apr 12- 16
|
The Schwarzian Derivative 1.11
|
Section 1.10 # 2,5
Section 1.11 # 3, 4
|
Apr 19 - 23
|
Bifurcation Theory 1.12
|
Section 1.12 # 1, 6, 7
|
Apr 26 - 30
|
Presentation of Projects
|
|
May 3 - 7
|
Presentation of Projects
|
|
May 19
|
Final!!
|
8:00-10:30 a.m.
S B Union 237
|