What is Calculus?

Calculus, the basic branch of mathematics. The content mainly includes functions, limits, differentials, integrals and their applications. Functions are the basic objects of calculus research. Limits are the basic concepts of calculus. Differentiation and integration are the limits of specific processes and specific forms. In the second half of the 17th century, the British mathematician Isaac Newton and the German mathematician GW Leibniz summarized and developed the work of their predecessors over the centuries, and established calculus, but their starting point was intuitively infinite Quantity, and therefore lacks a rigorous theoretical basis. In the 19th century, A.-L. Cauchy and K. Weierstrass established calculus on the basis of limit theory; coupled with the establishment of real number theory in the second half of the 19th century, the limit theory had a strict theoretical basis. So as to make the foundation and thinking method of calculus perfect.

Calculus

The turning point in mathematics is a Cartesian variable. With the variable, the movement enters mathematics, and there is

The generation of calculus is generally divided into three stages: the concept of limit; the infinitesimal method of quadrature; the reciprocal relationship between integral and differential. The final step is

Calculus is

In the teaching of mathematics, physics, engineering, and business management in universities, calculus is one of the main contents of "higher mathematics". Its teaching method was valued from the beginning by the establishment of the discipline. In the prerequisite courses of American universities, AP Calculus AB and BC are corresponding universities' one-year calculus half-year and annual courses respectively. ^[1]

In Hong Kong, calculus is part of the mathematics (extended part) of the NSS curriculum, which is optional.