Data 03: Chaos

All lecture, Data projects and Exam documets in one 313 page PDF

Unit 00
Unit 01
Unit 02
Unit 03
Unit 04
Unit 05
Unit 06
Unit 07
Unit 08
Data 01

Unit 09
Unit 10
Unit 11
Unit 12
Unit 13
Unit 14
Unit 15
Unit 16
Unit 17
Data 02

Unit 18
Unit 19
Unit 20
Unit 21
Unit 22
Unit 23
Unit 24
Unit 25
Unit 26
Data 03

Unit 27
Unit 28
Unit 29
Unit 30
Unit 31
Unit 32
Unit 33
Unit 34
Unit 35
Data 04
The third Project (PDF) deals with Chaos. We wrote this Desmos applet. It allows you to see that f(x)=4x(1-x) and g(x)=4x-4x2 produces different results when we apply the function several times. This always happens if we have sensitive dependence on initial conditions, a term which also goes under the name ``chaos".
The movie ``Jurassic Park" makes the topic of chaos a theme: