Complex analysis exercises

How do you Analyse complex?
Complex analysis is used in analog electronic design.
Filters are characterized by singularities of a complex transfer function.
Impedance is modeled as a complex value in AC circuits such as audio amplifiers.
The wave function of quantum mechanics and quantum field theory is complex-valued..
How do you use complex analysis in real life?
Complex analysis is known as one of the classical branches of mathematics and analyses complex numbers concurrently with their functions, limits, derivatives, manipulation, and other mathematical properties..
What can you use complex analysis for?
Complex analysis is used to solve the CPT Theory (Charge, Parity and Time Reversal), as well as in conformal field theory and in the Wick's Theorem.
Complex variables are also a fundamental part of QM as they appear in the Wave Equation..
What is complex analysis with example?
The complex analysis course is supposedly difficult and will even cover the Prime Number Theorem in the end..

This text contains the solutions to all of the practice problems in the 10th chapter of the lecture notes An Introduction to Complex Analysis [1].

How do you Analyse complex?