Fourier Transform: Diffusion Equation

This lecture covers the derivation of the diffusion equation in material science, emphasizing the importance of Fourier transforms in solving such equations. The instructor explains the reasoning behind the Fourier transform, its properties, and its application in analyzing periodic and non-periodic functions. The lecture delves into the concept of Dirac delta function, its properties, and its relation to Fourier transforms. Through examples and mathematical derivations, the lecture demonstrates how Fourier transforms can be used to solve differential equations and model physical phenomena, such as light diffraction by electrons.