FSU Complex Variables Exam 1

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Calculus

Derivatives & Differentiation

Last updated 4:54 PM on 7/7/23

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1

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Cauchy-Riemann in Cartesian

U(subx)=V(suby) & U(suby)=-V(subx)

2

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Cauchy-Riemann in Polar

rU(subr)=V(subθ) & rV(subr)=-U(subθ)

3

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sinz

(e^iz-e^-iz)/2i

4

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cosz

(e^iz+e^-iz)/2