MAT 351, Spring 2004

Topics and Assignments



 
 
                   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