There are many ways to get a mathematics major, depending on your interests and goals. The following are some common directions for mathematics majors:
1.Applied Mathematics: This pathway focuses on the application of mathematics to science, engineering, and technology. It can involve numerical calculations, optimization theory, partial differential equations, cybernetics, etc.
2.Probability Theory and Mathematical Statistics: This direction studies the laws of random phenomena and the methods of probability and statistics. It can involve probability theory, mathematical statistics, stochastic processes, statistical inference, etc.
3.Computational Mathematics: This direction focuses on the study of mathematical calculation methods and algorithms. It can involve numerical methods, numerical algebra, numerical approximation, numerical optimization, etc.
4.Operations Research and Cybernetics: This direction studies mathematical methods and theories for optimization and control problems. It can involve linear programming, nonlinear programming, dynamic programming, optimal control, etc.
5.Mathematical Physics: This direction studies the application of mathematics in physics, especially the theories and methods of partial differential equations and mathematical physical models.
6.Algebra and Number Theory: This direction studies the theories and methods of algebra and number theory. It can involve group theory, ring theory, domain theory, number theory, etc.
7.Geometry and Topology: This direction focuses on the theory and methods of geometry and topology. It can involve differential geometry, algebraic topology, manifold theory, etc.
The above are just some of the common directions for postgraduate entrance examinations in mathematics, in fact, mathematics is very broad, and there are many other research directions to choose from. You can choose the right direction according to your interests and career development plan.