The content mainly includes limit, differential calculus, integral calculus and its application. Differential calculus, including the calculation of derivatives, is a set of theories about the rate of change. It makes the function, velocity, acceleration and curve slope can be discussed with a set of universal symbols. Integral calculus, including the calculation of integral, provides a set of general methods for defining and calculating area and volume.
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The establishment of calculus has greatly promoted the development of mathematics. Many problems that cannot be solved by elementary mathematics in the past are often solved by calculus, which shows the extraordinary power of calculus.
The development history of calculus shows that people's understanding begins with intuitive images and then reaches abstract thinking, that is, the process from perceptual knowledge to rational knowledge. Human's understanding of the regularity of the objective world is relative and limited by the times. With the deepening of human cognition, cognition will gradually develop from low to high, from incomplete to more comprehensive. Man's exploration of nature is endless.
China Education Examination Network -20 19 National Unified Examination Outline for Enrollment of Ordinary Colleges and Universities
Baidu encyclopedia-calculus