10.3.14 Operations with complex numbers
Condition: Draw the area defined by the inequalities: \[ |z-i|<1, \quad \arg z \geq \frac{\pi}{4}, \quad \arg (z+1-i) \leq \frac{\pi}{4} \]
Operations with complex numbers, their algebraic, trigonometric and exponential forms. Derivatives of functions, finding complex roots of polynomials, solving equations in complex numbers.