Discrete mathematics is an important basic course for computer majors. Its research object is the mathematical structure model of discrete quantitative relationship and discrete structure. This paper mainly introduces the basic concepts, theories and methods of various branches of discrete mathematics. These concepts, theories and methods are widely used in digital circuits, compilation principles, data structures, operating systems, database systems, algorithm analysis and design, artificial intelligence, computer networks and other professional courses. At the same time, the training provided by this course is very beneficial to improve students' generalization and abstraction ability, logical thinking and inductive structure ability, and to cultivate students' rigorous, complete and standardized scientific attitude.

Mathematical analysis focuses on calculus. It also discusses the continuity, convergence and approximation of functions and series, and some basic theorems about real numbers.

Numerical analysis is mainly a computer approximate calculation problem, such as solving differential equations and numerical integration. The main methods are iterative method, difference method and finite element method.

Advanced mathematics is the foundation, and its content is probably similar to that of mathematical analysis, but its theory is definitely not as strong as that of mathematical analysis, and mathematics majors generally study mathematical analysis. No matter you are an engineering student, a liberal arts student or a science student, you must study advanced mathematics, but it is only divided into several levels of ABCD.