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 jpmccarthymaths@gmail.com and I will add you to the mailing list.

## Test Results

More remarks on these later in the week. Last five digits of student number given.

 S/N % Remark 05669 abs S/N 34673 abs SN 01947 abs * 69001 abs S/N 27197 * 34159 100 12147 100 23747 100 80059 100 21209 100 63301 100 44855 100 18159 100 47109 96 86607 96 16233 96 01701 96 79917 92 64454 92 33245 92 12332 88 37258 84 45109 84 75251 80 70869 76 60663 72 69415 72 19259 68 69738 68 15321 64 18577 64 00153 64 54745 60 84229 60 02929 60 21025 56 07705 52 69423 52 07784 48 48443 48 69571 48 Unknown 44 45095 36 40067 36 21931 28 80697 24 78026 24 60543 24 7679 16 not regisd. 06454 0 abs 05587 0 abs 25527 0 abs 67327 0 abs 80133 0 abs 32430 0 abs 70492 0 abs 10684 0 abs

## Tutorial Venue

For the rest of term we are in WGB G03

## Week 9

We will finished off our work on the doubling mapping and we began talking about complex numbers.

The marking scheme for Summer 2012 Q. 2 is here and the third page of here. All of the Summer 2012 marking scheme may be found here. As I thought, answering Q. 2 (a), (b), (c) and recognising that they suggested that the Doubling Mapping had, respectively, sensitivity to initial conditions, that the periodic points are dense and a point with a dense orbit was good for 16/25 = 72% > 70% of the marks for that question.

## Week 10

This week we will begin to talk about the arithmetic of complex numbers — in particular what it looks like.

## Tutorials

There aren’t really any questions that we can do this week that we couldn’t do last week. Perhaps you should spend some time looking at the homework and decide which option you want to take.