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Complex numbers

Also refer to Maths notes

TopicDescription
1) BackgroundA brief explanation of what complex numbers are and how they came into existance.
2) Basic calculationsOne way in which complex numbers are written.
How to add subtract and divide complex numbers.
The following topics should not be started until you have studied trigonometry. In particular, you need to be familiar with the following:
… The SINE and COSINE functions.
… The repetition of SINE and COSINE in cycles of 360 degrees.
… SINE and COSINE of angles added together.
… SINE and COSINE of angles subtracted.
3) Graphical representationA second way in which complex numbers are written. This is based on a graphical or visual presentation of complex numbers.
4) Powers and rootsA convenient way of multiplying and dividing complex numbers based on their graphical representation. This leads to an easy way for find powers and roots of complex numbers.
5) Further infoThis includes the Appendix referred to from within the previous topics. It also provides links to interesting additional information about complex numbers. Some of these topics are very advanced and not required during matric.