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Mastering Complex Exponents: Advance with Real Series Sums

Build on your knowledge of complex numbers with complex exponents and real series summation. Explore De Moivre's theorem, Euler's relation, and more. Enhance your mathematical skills and take your understanding further. Ensure you have completed the prerequisites before diving into this advanced topic. Access online resources for independent study and test your knowledge with the multiple-choice exam.

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Mastering Complex Exponents: Advance with Real Series Sums

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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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