Complex numbers and sketching regions. Chris Tisdell UNSW Sydney

I discuss a simple example of how to sketch regions in the complex plane. Such an example is seen in high-school and first-year university mathematics.

Complex numbers are an extension of the well--known real numbers. Complex numbers (and complex--valued functions) find useful applications in: signal analysis; fluid mechanics; relativity; and quantum mechanics.
A solid understanding of how to sketch regions in the complex plane empower us to do more significant and interesting things with them.

[DrChrisTisdell]

@cocomelastico Thanks for your questions! Complex numbers are quite fascinating.
1. Here at UNSW we do not use texts, rather we rely on our own notes. Paul's online notes seem to be quite good so I recommend those as a start.
2. The program I use to prepare my notes is called LaTeX. Download it for free from links on Google.
Please feel free to use this (or other) of my videos in your classes as they are Creative Commons licensed which means any one can use them!

[carlangasnalgon]

Thank you, don´t you have a video about neighborhood, types of pints, open regions etc.?

[harderhscmaths]

Well explained but don't you need an open 'circle' at the centre of the circle?. I am working through past extension 2 papers on my site. Regards, John

[cocomelastico]

Interesting topic!!

I have two questions:
1.- In which book I can find more exercises about this topic?
2.- What is the font you use to type the examples you explain here? I have seen it in several books and other documents and I like to write my class notes or another notes using this type of font.

Thank you in advance Professor Tisdell!!!!

[hamzashahab]

Sir u mad my day.

- via YTPak(.com)

[dumbasffff]

you made a mistake! for our problem, z0 was -2i not just 2i :P