Complex Numbers: Argument and Polar Method

This lecture covers the definition of the argument of a complex number, introducing the concept of the argument as the angle formed by the complex number with the positive real axis. The polar method is then explained, illustrating how to represent complex numbers in polar form. Examples are provided to demonstrate the application of the polar method in finding the roots of complex numbers. The lecture concludes with a discussion on the fundamental theorem of algebra, focusing on the roots of polynomial equations and the Viète's formulas for quadratic equations.