let maths take you further…
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FP2 (MEI) Complex Numbers: part 1 Polar form, multiplication in the Argand diagram, De Moivre’s theorem & applications. Let Maths take you Further…. The polar form of complex numbers and De Moivre’s theorem. Before you start: - PowerPoint PPT PresentationTRANSCRIPT
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the Further Mathematics network
www.fmnetwork.org.uk
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the Further Mathematics network
www.fmnetwork.org.uk
FP2 (MEI) Complex Numbers: part
1Polar form, multiplication in the Argand diagram,
De Moivre’s theorem & applicationsLet Maths take you
Further…
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The polar form of complex numbers and De Moivre’s theorem Before you start:
You need to have covered the chapter on complex numbers in Further Pure 1.
When you have finished…You should:
Understand the polar (modulus-argument) form of a complex number, and the definition of modulus, argument
Be able to multiply and divide complex numbers in polar form Appreciate the effect in the Argand diagram of multiplication by a complex number
Understand de Moivre's theorem
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Recap
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Recap
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Multiplication in the Argand Diagram
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Division in the Argand Diagram
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De Moivre’s Theorem
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Examples
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Applications
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Applications
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Example
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Now you have finished…You should:
•Understand the polar (modulus-argument) form of a complex number, and the definition of modulus, argument
•Be able to multiply and divide complex numbers in polar form Appreciate the effect in the Argand diagram of multiplication by a complex number
•Understand de Moivre's theorem
The polar form of complex numbers and De Moivre’s theorem
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Independent study:
Using the MEI online resources complete the study plans for the two sections: Complex Numbers 1 & 2
Do the online multiple choice tests for these sections and submit your answers online.