Modulus, Conjugate and Division of Complex Numbers | Specialist Maths | MaffsGuru.com

Modulus, Conjugate and Division of Complex Numbers | Specialist Maths | MaffsGuru.com

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This is the next video in the series looking at Complex Numbers for the Year 12 VCE Specialist Mathematics (Units 3 and 4) course here in Australia. This video looks at how we can find the modulus, conjugate and divide complex numbers. There are a lot of worked examples (and VCAA questions) showing how the theory can be applied in an examination context. All the work is explained in an easy to understand way.

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00:11 Welcome
00:39 Learning objectives
01:28 Recap of past learning
02:10 Meeting the modulus ... again!
04:11 Properties of the modulus
05:29 The conjugate of a complex number
08:26 Example 1
10:00 Division of complex numbers
12:44 Inverse of a complex number
12:57 Dividing two complex numbers
13:31 Example 2a
16:49 Example 2b
17:49 Example 3
20:12 VCAA Question: 2012 Paper 2 Q8
21:35 VCAA Question: 2020 Paper 2 Q5
23:49 Learning objectives: Revisited

This maths video has been created for courses which are delivered in Australia but, as Maths is a constant, it is equally helpful for students in the USA, UK and other countries who are looking for good maths videos for both high school and middle school.