1. Week:

No lectures yet.

Lecture of February 2, 2005:

Lecture of February 4, 2005:

2. Week:

Lecture of February 7, 2005:

Lecture of February 9, 2005:

Lecture of February 11, 2005:

3. Week:

Lecture of February 14, 2005:

Lecture of February 16, 2005:

Lecture of February 18, 2005:

4. Week:

February 21, 2005:
Presidents day

Lecture of February 23, 2005:

Lecture of February 25, 2005:

5. Week:

February 28, 2005:

March 2, 2005:
 Lorenz system I
 Lorenz system II
 Paper model of Roessler attractor (PS File)GIF
(Source: Peitgen,Jügens,Saupe, "Chaos and Fractals", Springer, 1992)
 Paper model of Lorenz attractor (PS File)GIF
(Source: Peitgen,Jügens,Saupe, "Chaos and Fractals",Springer, 1992)

March 4, 2005:
 The notion of a "strange attractor"
 Fractals

6. Week:

March 7, 2005:
 Billiards
See also sections 6.3 and 6.4 in the book.

March 9, 2005:

March 11, 2005:

7. Week:

March 14, 2005 (PI DAY!):

March 16, 2005:

March 18, 2005:

8. Week:

March 21, 2005 (Spring start):

March 23, 2005:
 Mandelbrot set (Proof of connectivity and history)
(We will only cover the main idea of the proof, which requires quite a bit of topology and
complex analysis). But the proof explains how one can approximate the Mandelbrot set through
smooth level curves of functions.

March 25, 2005:

9. Week:

April 4, 2005 :

April 6, 2005:

April 8, 2005:

10. Week:

April 11, 2005 :

April 13, 2005:

April 15, 2005:

11. Week:

April 18, 2005 :

April 20, 2005:

April 22, 2005:

12. Week:

April 25, 2005 :

April 27, 2005:

April 29, 2005:
No class. Please review old quizes and start narrowing down in which
area you would like to make a project.

13. Week:

May 2, 2005 :

May 4, 2005:

May 6, 2005:
