1 / 20

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…. The polar form of complex numbers and De Moivre’s theorem. Before you start:

sylvie
Download Presentation

Let Maths take you Further…

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

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

  2. 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

  3. Recap

  4. Recap

  5. Multiplication in the Argand Diagram

  6. Division in the Argand Diagram

  7. De Moivre’s Theorem

  8. Examples

  9. Applications

  10. Applications

  11. Example

  12. 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

  13. 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.

More Related