The advanced mathematics course is divided into two semesters. Its teaching content usually includes unary function calculus, multivariate function calculus, spatial analytic geometry and vector algebra, differential equations, field theory and so on. Through the teaching of this course, students not only have the basic knowledge of mathematics needed to learn other mathematics courses and professional courses, but also get the necessary training and edification in the abstraction, logic and rigor of mathematics, so that students have the ability to initially understand and apply logical relations, study and understand abstract things, and recognize and apply the laws of numbers and shapes.

2. Linear algebra

Linear algebra is a branch of mathematics, and its research objects are vector space (or linear space), linear transformation and finite dimensional linear equations. Vector space is an important subject in modern mathematics. Therefore, linear algebra is widely used in abstract algebra and functional analysis; Through analytic geometry, linear algebra can be expressed concretely. The theory of linear algebra has been extended to operator theory.

3. Probability theory

Probability theory is a branch of mathematics that studies the quantitative laws of random phenomena. Random phenomenon is relative to decisive phenomenon, and the inevitable occurrence of a certain result under certain conditions is called decisive phenomenon. For example, at standard atmospheric pressure, if pure water is heated to 100C, water will inevitably boil. Random phenomenon means that under the same basic conditions, before each experiment or observation, it is uncertain what kind of results will appear, showing contingency. For example, when you flip a coin, there may be heads or tails. The realization and observation of random phenomena are called random experiments.

4. Stones

Calculus, a mathematical concept, is a branch of higher mathematics that studies the differential and integral of functions and related concepts and applications. It is a basic subject of mathematics, including 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 general method to define and calculate area and volume.