Basic operations on complex numbers in polar form | Specialist Maths | MaffsGuru.com

Basic operations on complex numbers in polar form | Specialist Maths | MaffsGuru.com ** This video is another in the series looking at Complex Numbers as part of the VCE Year 12 (Units 3 and 4) Specialist Mathematics course. This video looks at how we can take the theory from the last video and apply it to a range of questions. Before doing this I show how we can multiply and divide numbers in Polar Form in an easy way. There are a number of worked examples showing how this can be applied before looking at De Moivre's Theorem. A couple of VCAA questions are used at the end of the video to highlight how the theory can be assessed. All is explained in an easy to understand way. ** 00:11 Welcome 00:50 Learning objectives 01:30 Recap of past learning 02:26 Example 1 04:59 Multiplication by a scalar 06:29 Multiplication of two polar coordinates 10:24 Important observations 11:56 Geometric interpretation of multiplication 12:42 Division of complex numbers 14:23 More important properties 15:04 Example 2 16:21 Example 3 17:04 De Moivre's Theorem 18:56 Example 4 20:15 Example 5 21:55 Example 6 24:59 VCAA Question: 2011 Paper 1 Q4 27:59 VCAA Question: 2015 Paper 2 Q5 29:49 VCAA Question: 2015 Paper 2 Q9 32:11 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.