At the popular request of some of my bored physics peeps, I wrote these brief notes that show the link between the elegant language of differential forms and peasant vector calculus. In particular, I present Stokes’s Theorem in its more general form, and show how this form (written in terms of differential forms and the exterior derivative) is an elegant extension of the famous Gauss’s Theorem and $2D$ Stokes’s Theorem from elementary vector calculus that are so ubiquitous in physics applications. Enjoy!