Absolute Value and Complex Numbers

This lecture covers the definition and properties of the absolute value function for real numbers, as well as the introduction to complex numbers. It explains the basic properties of absolute value, inequalities, and the representation of complex numbers in the form a+ib. The lecture also delves into the geometric interpretation of complex numbers, including the modulus and argument. Furthermore, it explores Euler's formula and the Moivre's theorem for exponential form. The presentation concludes with the application of Euler's formula in trigonometry and the generalization of complex numbers.