Calculus is the branch of mathematics which is concerned with the study of rates of change. It is further divided in two branches, namely, differential calculus and integral calculus. Differential calculus studies the rate of changes of functions with respect to their variables through the use of derivatives and differentials. Slopes and curves of graphs are a part of differential calculus. Integral calculus focuses on accumulation of quantities and studies the area under and between the curves. Calculus finds its applications across various domains such as robotics, video games, artificial intelligence, planetary motion, aerospace, bridge engineering, business and economics. This book unfolds the innovative aspects of calculus which will be crucial for the holistic understanding of the subject matter. Some of the diverse topics covered herein address the varied branches that fall under this category. Those in search of information to further their knowledge will be greatly assisted by this book.