This tutorial introduces how to use the Illinois Campus Cluster to run scientific application code. It begins with a lesson on the fundamental concepts of scientific computing on a High-Performance Computing (HPC) cluster. The tutorial then progresses through how-to access the Illinois Campus Cluster, manage files, edit files, setup your software environment, and transfer files. Finally, you will complete a hands-on exercise where you will run an example application. Even if you are not a Campus Cluster user, by taking this tutorial you can still learn about using an HPC cluster for scientific computing.