Complex Variables
Description: This quiz covers the fundamental concepts and techniques of Complex Variables, a branch of mathematics that deals with functions of complex numbers. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: complex numbers complex functions cauchy-riemann equations analytic functions complex integration |
What is the imaginary unit in complex numbers?
What is the real part of the complex number (z = 3 + 4i)?
What is the imaginary part of the complex number (z = 3 + 4i)?
What is the complex conjugate of the complex number (z = 3 + 4i)?
What is the modulus (absolute value) of the complex number (z = 3 + 4i)?
What is the argument (phase) of the complex number (z = 3 + 4i)?
What is the polar form of the complex number (z = 3 + 4i)?
What is the exponential form of the complex number (z = 3 + 4i)?
What is the derivative of the complex function (f(z) = z^2) at (z = 2)?
What is the Cauchy-Riemann equation for a complex function (f(z) = u(x, y) + iv(x, y))?
What is an analytic function?
What is the residue of the function (f(z) = \frac{1}{z^2}) at (z = 0)?
What is the value of the integral (\int_C \frac{1}{z} dz), where (C) is the unit circle centered at the origin?
What is the residue theorem?