advanced algebra

Analytic geometry

Probability theory or mathematical statistics

The above four articles are the foundation.

Then there is

Topological abstract algebraic ordinary differential equation partial differential equation

Complex variable function real variable function

This is a basic course.

The following courses are generally different from school to school. Advanced courses, such as

Advanced theoretical courses: variational method and integral equation functional analysis, differential geometry, programming, mathematical modeling and application.

Many math classes may require study before you know what you are talking about. ...