The main methods of question A: mechanism analysis, optimization modeling and planning model, difference equations of electricity, magnetism, heat and force in physics, partial differential equations of differential equations, finite element method, finite difference method, cellular automata and other statistical methods.

The main methods of question B: mathematical programming optimization modeling linear programming, integer programming, 0- 1 programming nonlinear programming and intelligent optimization algorithm, multi-objective programming and target programming dynamic programming, network optimization, queuing theory and computer simulation stochastic optimization.

The main methods of question C: random analysis, optimization modeling, linear programming, integer programming, O- 1 programming, factor analysis and variable screening, multivariate statistics of ordinary regression and generalized regression, and other methods of fuzzy programming.

Knowledge popularization:

Mathematical modeling is to establish a mathematical model according to actual problems, solve the mathematical model, and then solve the actual problems according to the results.

When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.

Modeling application

Mathematics is a science that studies quantitative relations and spatial forms in the real world. In the long history of its emergence and development, it has always been closely related to various application problems. The characteristics of mathematics lie not only in the abstraction of concepts, the rigor of logic, the clarity of conclusions and the integrity of systems, but also in the universality of applications.

Since the 20th century, with the rapid development of science and technology and the increasing popularity of computers, people's requirements for various problems have become more and more precise, making the application of mathematics more and more extensive and in-depth. Especially in the era of knowledge economy in 2 1 century, the position of mathematical science will change greatly, and it is moving from the reserve of national economy and science and technology to the forefront.

With the globalization of economic development, the rapid development of computers and the continuous expansion of mathematical theories and methods, mathematics has become an important part and think tank of contemporary high technology and a technology that can be universally implemented. Cultivating students' consciousness and ability of applying mathematics has become an important aspect of mathematics teaching.