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1. Week:
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No lectures yet.
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Lecture of February 2, 2005:
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Lecture of February 4, 2005:
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2. Week:
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Lecture of February 7, 2005:
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Lecture of February 9, 2005:
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Lecture of February 11, 2005:
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3. Week:
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Lecture of February 14, 2005:
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Lecture of February 16, 2005:
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Lecture of February 18, 2005:
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4. Week:
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February 21, 2005:
Presidents day
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Lecture of February 23, 2005:
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Lecture of February 25, 2005:
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5. Week:
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February 28, 2005:
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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)
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March 4, 2005:
- The notion of a "strange attractor"
- Fractals
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6. Week:
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March 7, 2005:
- Billiards
See also sections 6.3 and 6.4 in the book.
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March 9, 2005:
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March 11, 2005:
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7. Week:
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March 14, 2005 (PI DAY!):
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March 16, 2005:
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March 18, 2005:
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8. Week:
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March 21, 2005 (Spring start):
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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.
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March 25, 2005:
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9. Week:
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April 4, 2005 :
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April 6, 2005:
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April 8, 2005:
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10. Week:
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April 11, 2005 :
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April 13, 2005:
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April 15, 2005:
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11. Week:
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April 18, 2005 :
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April 20, 2005:
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April 22, 2005:
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12. Week:
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April 25, 2005 :
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April 27, 2005:
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April 29, 2005:
No class. Please review old quizes and start narrowing down in which
area you would like to make a project.
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13. Week:
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May 2, 2005 :
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May 4, 2005:
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May 6, 2005:
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