9 Summary

This now concludes our discussion focused on calculus. I hope you were able to see some of its beauty and gain a better understanding of how it works and applies to real life. Without it, we really would live in an entirely different world. While we have finished the calculus section, do not be too disappointed. We will be seeing these calculus topics throughout the rest of this paper, especially when we get to real analysis and computational methods. But before we get there, we must discuss a topic that we have already passed over briefly, proofs. Proofs are arguably the most important topic of mathematics as they provide the logical support necessary for every branch of mathematics.