**I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jippo@campus.ie and I will add you to the mailing list.**

## This Week

In lectures, we did sections 4.0, 4.1 and 4.2.

## Reminder

Test on 10 am on Monday February 20 in WGB G 18.

## Problems

2009 Q. 4

### From the Class

Show that for the *Tent Map * maps to itself; i.e. show that for all .

Show that the *Logistic Map *and the *Tent Map *(for ) both have the following properties (ie. for or ):

- the mapping satisfies for all so the mapping is symmetric about the line .
- The values of increase steadily from at the left to the maximum value at and decrease steadily to . So the maps are unimodal.

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