There are two important calculations in calculus: differential calculation and integral calculation, one positive and one negative, which are typical inverse operations in mathematics, each in a system. The appearance of calculus has solved many practical problems and played a strong fundamental role in the development of the whole science, especially physics. It can be said that without the birth of calculus, physics will stagnate and the whole society will return to16th century. Therefore, all universities should offer the course of Calculus, so that students can understand Calculus, further establish scientific consciousness, learn science, know science and apply science, firmly establish Scientific Outlook on Development and become a qualified contemporary college student.