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FP2 (MEI) Complex Numbers- Complex exponents and using complex numbers to sum Real series

FP2 (MEI) Complex Numbers- Complex exponents and using complex numbers to sum Real series. Let Maths take you Further…. Complex exponents and using complex numbers to sum real series. Before you start:

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FP2 (MEI) Complex Numbers- Complex exponents and using complex numbers to sum Real series

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  1. FP2 (MEI)Complex Numbers-Complex exponents and using complex numbers to sum Real series Let Maths take you Further…

  2. Complex exponents and using complex numbers to sum real series Before you start: • You need to have covered the chapter on complex numbers in Further Pure 1, and sections 1 and 2 of this chapter. When you have finished…You should: • Understand the definition ejθ = cosθ + jsinθ and hence the form z = rejθ • Be able to use de Moivre’s theorem to sum suitable series

  3. Euler’s relation: De Moivre:

  4. Prove:

  5. Summing series

  6. Complex exponents and using complex numbers to sum real series When you have finished…You should: • Understand the definition ejθ = cosθ + jsinθ and hence the form z = rejθ • Be able to use de Moivre’s theorem to sum suitable series

  7. Independent study: • Using the MEI online resources complete the study plan for Complex Numbers 3: Exponent form • Do the online multiple choice test for this and submit your answers online.

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