2. Let Maths take you Further…
FP2 (MEI) Complex Numbers: part 1 Polar form, multiplication in the Argand diagram, De Moivre’s theorem & applications
Let Maths take you Further…

3. 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

4. Recap

5. Recap

6. Multiplication in the Argand Diagram

7. Division in the Argand Diagram

9. De Moivre’s Theorem

10. Examples

12. Applications

15. Applications

16. Example

19. The polar form of complex numbers and De Moivre’s theorem
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

20. 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.