Calculus is a fundamental branch of mathematics that focuses on the study of continuous change, and is divided into two primary areas: differential and integral calculus. It is developed through core concepts such as limits, infinitesimals, the fundamental theorem of calculus, and the convergence of infinite sequences and series. Recent advancements in this field include reformulations like non-standard calculus, smooth infinitesimal analysis, and constructive analysis. A solid understanding of calculus is essential for advancing mathematical analysis and applying it in fields like science, engineering and economics. This book is a compilation of chapters that discuss the most vital concepts in the field of calculus. The topics included herein are of utmost significance and bound to provide incredible insights to readers. In this book, constant effort has been made to make the understanding of the difficult concepts of calculus as easy and informative as possible, for the readers.