Explore the application of Fourier Transform in solving Partial Differential Equations (PDEs) with a focus on the 1D Heat Equation on an infinite domain. Delve into key concepts of Engineering Mathematics as presented in Lecture 19 of the ME565 course at the University of Washington. Learn about the Fourier Transform, its inverse, and their relevance in solving PDEs. Understand the physical properties associated with the 1D Heat Equation and how the Fourier Transform aids in its solution. Access comprehensive lecture notes and additional course resources to enhance your understanding of this advanced mathematical topic.