# AMAT 415 — Week 1 Summary

Topics discussed this week:

Complex numbers — real and imaginary parts, modulus, conjugate, basic arithmetic, the complex plane and graphical representation of complex numbers, polar representation, computing $n$-th roots of complex numbers using the polar representation

Complex functions — polynomials and the fundamental theorem of algebra, the complex exponential and Euler’s identity $e^{iy} = \cos(y)+i\sin(y)$.

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