Calculus is a fundamental branch of mathematics that explores the concept of change. It is divided into two primary branches: differential calculus, which focuses on the study of rates of change in slopes and curves, and integral calculus, which concerns the calculation of areas under and between curves. Both of these branches are unified by the fundamental theorem of calculus. This book attempts to understand the multiple branches that fall under the discipline of calculus and how such concepts have practical applications. It provides comprehensive insights into the field. This book is an essential guide for both academicians and those who wish to pursue this discipline further.