Functions Of A Complex Variable Mock Tests

The function f(z) = Re(z) · Im(z) is differentiable at

The function f(z) = e^z maps the infinite strip {z ∈ ℂ : 0 < Im(z) < π} onto

The function f(z) = |z|² is differentiable at

The function f(z) = z² where z = x + iy can be written as f(z) = u(x, y) + iv(x, y). The harmonic conjugate of u(x, y) = x² − y² is

The function f(z) = e^(cos z) is periodic with period