Daniel Flath

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Complex numbers

Learning objectives

  • Master the arithmetic of complex numbers
  • Use the power series for e^z to derive Euler’s formula
  • Appreciate a beautiful proof of the Fundamental Theorem of Algebra
  • Have fun with Gaussian integers

Before class

  • Review the power series of exp(t), cos(t), and sin(t)
  • Notes on complex numbers

In class

  • Practice with complex numbers
  • Mathematica for complex numbers

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