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0:07:22

Evaluate Limit_{as x approaches 0} (1-2x)^{1/x}

0:21:06

Using the Cramer's rule to prove the Cosine rule.

0:17:16

Evaluate the integral (z bar)^2 dz around circles c: (a) |z|=1 , (b) |z-1|=1

0:12:36

Evaluate the integral z bar dz from z=0 to z=4+2i along (a) z=t^2+it (b) line from z=0 to z=2i ...

0:11:55

Part B - Finding v given u where f(z)=u+iv is analytic

0:06:40

Part A - Prove that u(x,y)=e^-x(xSiny-yCosy) is harmonic

0:08:49

Prove that if f(z) is analytic at z_0, then f(z) is continuous at z_0.

0:08:42

Complex Analysis: Finding the derivative of f(z)=(1+z)/(1-z) and determining when it's not analytic.

0:04:05

Complex Analysis: Showing that a complex function is nonanalytic everywhere.

0:04:33

Complex Analysis: finding the derivative of f(z)=z^3-2z from definition.