Calculus is a branch of mathematics, which studies the differential and integral of functions and related concepts and applications in higher mathematics. It is the basic subject of mathematics. 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.
"Advanced Mathematics" is compiled according to "Basic Requirements of Basic Mathematics Course Teaching for Engineering Undergraduates" formulated by the Teaching Guidance Sub-committee of Basic Mathematics Course for Non-mathematics Majors of the Ministry of Education. Contents include: function and limit, unary function calculus, vector algebra and spatial analytic geometry, multivariate function calculus, series, ordinary differential equations, etc.