Week |
Topics |
Assignments |
Jan 23 - 25
|
Examples of Dynamical Systems: 1.1
Preliminaries from Calculus: 1.2
|
|
Jan 28 - Feb 1
|
Preliminares from Calculus: 1.2
Elementary Definitions: 1.3
|
Section 1.2 # 4, 5, 6, 7, 8, 9
|
Feb 4 - 8
|
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 11 - 15
|
An Example: The Quadratic Family: 1.5
Symbolic Dynamics: 1.6
Topological Conjugacy: 1.7
|
Section 1.5: 1, 3, 6, 7, 8
|
Feb 18 - 22
|
Topological Conjugacy: 1.7
Chaos 1.8
|
Section 1.6: 4, 6
Section 1.7: 1,2, 3 |
Feb 25 - Mar 1
|
Chaos:1.8
Structural Stability: 1.9
|
Section 1.8 # 1,3,6, 7, 8, 9, 10
|
Mar 4 - 8
|
Sarkovskii's Theorem: 1.10
|
1.9: Problems assigned in class |
Mar 11 - 15
|
The Schwarzian Derivative: 1.11
Midterm!
|
|
Mar 18 - 22
|
Bifurcation Theory 1.12
|
Section 1.11 # 3, 4
Section 1.12 # 1, 6, 7
|
Apr 1 - 5
|
Maps of the Circle: 1.14
|
Section 1.14 # 1,2, 4
|
Apr 8 - 12
|
Maps of the Circle 1:14
|
|
Apr 15 - 19
|
Morse Smale Diffeomorphisms 1:15
|
|
Apr 22 - 26
|
Presentation of Projects
|
|
Apr 29 - May 3
|
Presentation of Projects
|
|
May 6 - May 7
|
Presentation of Projects
|
|
May 15
|
Final!!
|
8:00-10:00 a.m.
Old Chemistry Building 138 |