Complex Numbers: Properties and Applications

This lecture covers various properties and applications of complex numbers, starting with the introduction of the complex plane and the representation of complex numbers in polar form. The instructor explains the De Moivre's theorem and its application in calculating powers of complex numbers. The lecture also delves into the concept of roots of complex numbers, demonstrating how to find solutions to equations involving complex roots. Through examples and demonstrations, the instructor illustrates the geometric interpretation of complex multiplication and the significance of Euler's formula in simplifying complex calculations.