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.

## Homework

Will be discussed in class on Monday.

## Week 10

On Monday we showed that to multiply one complex number $z_1$ by another $z_2$ involves stretching $z_1$ by a factor of $|z_2|$ and then rotating through an angle $\text{arg }z_2$. On Tuesday we used this information to find roots of unity. We also spoke about the Conjugate Root Theorem.

## Week 11

More on complex numbers including De Moivre’s Theorem and taking roots.

## Exercises

For the Week 11 tutorial you should look at Q.54 and 61-63.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly. For example this conjecture about calculating $i^i$.