MAT 351, Spring 2002

Topics and Assignments



 
 
                   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