In the education system of most countries, calculus is usually taught as a part of high school mathematics curriculum. At this stage, students will learn the basic concepts and skills of differential and integral. They will begin to explore the relationship between derivatives and functions and learn how to calculate the first and second derivatives. In addition, students will learn how to use differential to calculate the rate of change and slope of problems and how to use differential to solve related practical problems.
In the university stage, calculus is usually studied as a core course for mathematics or engineering majors. Students will further learn advanced concepts and skills of differential and integral. They will learn the differential and partial derivatives of multivariate functions and how to apply them to solve the problems of spatial curves and surfaces. In addition, students will learn advanced methods of integration, such as definite integral, indefinite integral and curve integral, and learn how to apply them to solve problems such as area, volume, center of mass and physics.
Calculus is an important branch of mathematics, which is not only widely used in scientific fields, but also provides students with training in logical reasoning, problem solving and mathematical modeling. Whether studying calculus in high school or university, it provides students with the necessary mathematical foundation and lays a solid foundation for their academic and career.