Explore the derivation of the heat equation, a fundamental partial differential equation in mathematical physics, through this comprehensive 24-minute video lecture. Learn about heat energy conservation, starting with an overview and progressing through key concepts such as heat flux and Fourier's Law of Heat Conduction. Gain insights into the mathematical formulation of the heat equation, its statement in words and math, and its significance in describing thermal processes. Follow along as the instructor breaks down complex ideas into digestible chapters, providing a thorough understanding of this parabolic partial differential equation.