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.
Linear algebra is a branch of mathematics, and its research objects are vectors, vector spaces (or linear spaces), linear transformations and linear equations with finite dimensions. The theory of linear algebra has been extended to operator theory. Because the nonlinear model in scientific research can usually be approximated as a linear model, linear algebra is widely used in natural science and social science. Linear algebra has various important applications in mathematics, physics and technology, so it occupies a primary position in all branches of algebra. The connection between geometric concepts and algebraic methods embodied in linear algebra, axiomatic methods abstracted from concrete concepts, strict logical deduction and ingenious induction and synthesis are very useful for strengthening people's mathematical training and obtaining scientific intelligence.
Probability and statistics is one of the important courses for science, engineering and economic management majors in colleges and universities. It accounts for about 22% in the postgraduate mathematics. The main contents include: the basic concept of probability theory, random variables and their probability distribution, numerical characteristics, law of large numbers and central limit theorem, statistics and their probability distribution, parameter estimation and hypothesis testing, regression analysis, variance analysis, Markov chain and so on.
Functions with complex numbers as independent and dependent variables are called complex variable functions, and the related theory is complex variable function theory. Analytic function is a kind of analytic function in complex variable function. Complex variable function theory mainly studies the analytic function in complex number field, so it is usually called analytic function theory.
Mathematical irrational equation is a partial differential equation, because it is a highly generalized model of many problems in physics, such as vibration of clues, heat conduction, transmission lines and electromagnetic fields. Usually, he appears as a definite solution condition.