We discussed some key terms that we observed in the first part of the Nova documentary (specifically: fixed point, attractor vs repeller, and strange attractor) and we modeled some of these terms in action with some magnet pendulums. At the close of the period, we also looked briefly at a Solar System simulator found here.
For tomorrow, please read the three sections mentioned on yesterday’s post from Fractals: The Patterns of Chaos
Today in class you were given one last simulation task: the Chapter 10 Investigative Task – The Butler Did it. Your response to this task is due at the start of class tomorrow, November 7, but your plan is due by the end of class.
Your response should be completed in a Google Document and submitted to me (email@example.com) by the start of class tomorrow. Please name your file appropriately; it should have the format “LastName.FirstName.Ch10InvTask”. For example, mine would be “Kirk.Benjamin.Ch10InvTask“.
In class today, we will be running a simulation that this random number generator page will be especially useful for.
For homework, take a look at simulation problems 31, 33, and 36 from the text (pages 278-279)
From pages 278-277, do exercises 25, 28, 29
From chapter 10, pages 277-278, do exercises 7, 12, 14, 20
Read chapter 10 (pages 267-276) for some more examples of running simulations, then from the exercises on page 277, do 11, 13, 17. For running your simulation in question 17, you should do at least 20 trials, using the random numbers found on Appendix page A-81 in your textbook or elsewhere, or use the random number generator in your calculator (refer to pages 273/274 for instructions).
Complete the Smelling Parkinson’s simulation that we started in class today. Go to the simulation page here and change the settings to match those in the screenshot below (though feel free to tell the simulator to stop at 10,000 trials or “never” to get even more if you’re curious). Record your result for 1000 trials on your paper, and bring it in tomorrow.
If you would like to read the interview with Target’s lead statistician, where I got the story about the father and his pregnant daughter, you can find it here.