UWEC CERCA 2026

Mathematicians have a seemingly never-ending supply of "tricks up their sleeve" that they can utilize to attack a problem. One such "trick" is the Laplace transform, which is a kind of integral transform that converts a function of the time domain into a function of the complex domain. This project aims to demonstrate how such a transformation can convert a differential or integral equation into an algebraic equation, allowing for analysis of real-world systems. Within this poster, we will outline the history and development of the Laplace transform, and discuss its mathematical basis. We will also dive into some of the applications of the Laplace transform, especially in the context of physics and engineering.