let maths take you further…

the Further Mathematics network

www.fmnetwork.org.uk

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…

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

Recap

Recap

Multiplication in the Argand Diagram

Division in the Argand Diagram

De Moivre’s Theorem

Examples

Applications

Applications

Example

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

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.