(Take the master's study course in the School of Mathematics of Sichuan University as an example) The postgraduate entrance examination in the Department of Mathematics should be divided into different directions, and the courses in different directions are also different.

Basic mathematics specialty

Research interests: number theory, algebra, differential geometry, topology, functional analysis, partial differential equations, differential equations and

Power system, functional theory, machine proof.

Main course:

Number theory, abstract algebra, modern differential geometry, algebraic topology, functional analysis, partial differential equations.

Keywords generation theory, general topology, set theory,

Keywords Banach algebra technique, nonlinear functional analysis, second-order elliptic equation,

Nonlinear functional analysis, functional differential equation theory, differential dynamic system, multiple complex variable function theory, secondary introduction, design

Introduction to arithmetic theory, local domain, model formula, construction of finite groups, associative algebra and modules, etc.

Applied mathematics major

Research interests: applied number theory and combinatorial theory, fuzzy mathematics and its application, applied nonlinear analysis, mathematical and physical deviation

Partial equation, applied functional analysis, functional differential equation, biological mathematics, financial mathematics, economic mathematics, optimization method.

Main courses: advanced computer language, abstract algebra, algebraic topology, mathematical statistics, stochastic analysis, functional.

Analysis, fuzzy mathematics, mathematical logic, econometrics, nonlinear functional analysis, operational research decision analysis, econometrics.

And technical economy, optimization calculation method, differential equation numerical method, engineering mathematics method, game theory and mathematical economy.

Decision support system, economic mathematical model, system identification, combinatorial optimization, stochastic operation research, etc.

Computational mathematics major

Research interests: numerical solutions of differential equations, finite element methods, numerical algebra, numerical approximation and application software.

Main courses: bounded analytic functions, variational inequalities and complementary problem theory, quasi-differential operators, operator semigroups and it.

Application, partial differential equation difference method, finite element method numerical analysis, nonlinear equation numerical solution, spline function

Number theory and its application, modern partial differential equation theory, nonlinear functional analysis, mathematical statistics, literature reading, Pan

Letter analysis.

Probability theory and mathematical statistics specialty

Research interests: random analysis and application, mathematical statistics, applied probability statistics, random signal processing, statistical judgment and.

Estimation method.

Main courses: probability theory, mathematical statistics, stochastic processes, stochastic differential equations, stochastic signal analysis, nonparametric systems.

Design, linear statistical inference and its application, measurement and integration, survival analysis, multivariate analysis, computer high-level language, literature

Provide selected reading materials.

Major in operational research and cybernetics

Research interests: control theory of distributed parameter systems, fuzzy control, operation and optimization, mathematical planning and network flow, and decision-making.

Theory and method of policy analysis, nonlinear system control and its application.

The main courses are: functional analysis, matrix theory, abstract algebra, automatic control theory, advanced computer language,

Specialized foreign languages, convex analysis and extreme value problems, linear control system theory, nonlinear distributed parameter control theory, intelligent control

Control, convex analysis, stability theory of control system, optimal control and calculation, numerical optimization, stochastic programming, mathematical programming.

Graph theory and its application, queuing theory, multi-objective programming, etc.

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