God said, "Let there be light, and there was..." is printed on many T-shirts, and beneath this quote, one can find decorative and highly sophisticated partial differential equations describing electromagnetic phenomena, specifically the Maxwell equations. This book explains what it means to engage with partial differential equations, where they come from, what they describe, the significant questions associated with them, and why these questions are as challenging as they are, without delving into all the mathematical complexities. Instead, this book provides a vivid introduction and an overview that ranges from the derivation of the heat equation and a concerning student room's energy considerations to the wave equation, the product approach, spectral decomposition, and the fundamental ideas of the finite element method as the standard procedure for numerical solutions.