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.

Weeks 10 & 11

We spoke about complex number multiplication — particularly the geometric aspect including DeMoivre’s Theorem and Roots of Unity. A good summary of what we covered may be found here actually.

We also said that almost all of our dynamical systems theory carries over to when when we have a complex-valued function

f:\mathbb{C}\rightarrow \mathbb{C},

rather than a real-valued function f:\mathbb{R}\rightarrow \mathbb{R}. We will look at this in more detail next week, our final week.


Good questions to look at (some of these have been looked at in tutorials):

Summer 2009 Question 5

Autumn 2009: Question 5

Summer 2008: Question 5

Summer 2012: Question 4 (a) – (e)

Autumn 2012: Question 4 (a) – (d)

Summer 2010: Question 4 (b)

Autumn 2010: Question 3 (a), 4 (a)

Summer 2009: Question 1 (c), (d), 2 (c)

Autumn 2009: Question 1 (c), (d), 2 (c)

Summer 2008: Question 1 (c), (d), 2 (c),