Complex Numbers - The Argand Diagram and Polar form

Please select a resource from the list below.

Quick Reference

  • This leaflet explains how complex numbers in polar form can be multiplied and divided. In polar form, these operations are particularly simple to carry out.
  • This leaflet explains how an Argand diagram is used to provide a pictorial representation of a complex number.
  • This leaflet explains how complex numbers can be represented pictorially using an Argand Diagram. There are accompanying videos.
  • This leaflet explains how a complex number can be written in the form z=r(cos(t) + j sin(t)).
  • This leaflet explains how to calculate the modulus and argument of a complex number. There are accompanying videos.
  • This leaflet explains the polar form of a complex number. It defines the modulus and argument of a complex number.
  • This leaflet explains what is meant by the polar form of a complex number. There are accompanying videos.

Video

A transcript of each video should be available in the Teach Yourself section above.

(This site uses Windows Media technologies from Microsoft to deliver video streams. Streaming facilities are kindly provided by University of Portsmouth Creative Technologies, http://stream.port.ac.uk)

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iPOD Video

  • This mp4 video explains how complex numbers can be represented pictorially using an Argand Diagram. There is an accompanying leaflet.
  • This mp4 video explains how to calculate the modulus and argument of a complex number. There is an accompanying leaflet.

3GP Mobile Phone Video

  • This mobile phone video explains how complex numbers can be represented pictorially using an Argand Diagram. There is an accompanying leaflet.
  • This mobile phone video explains how to calculate the modulus and argument of a complex number. There is an accompanying leaflet.
  • This mobile phone video explains what is meant by the polar form of a complex number. There is an accompanying leaflet.