Of course, they have also experienced a long development. The earliest is classical mathematics, that is, mathematics in the Greek period, which is equivalent to algebra and plane geometry learned by junior high school students (including solid geometry in senior high school)
After that, Cartesian coordinate system was introduced into geometry and developed into analytic geometry (for high school students) (all courses were undergraduate or above);
Algebra founded mathematical analysis (Advanced Mathematics Professional Edition) on the basis of Newton and Leibniz's calculus, which contains many calculus;
Later, geometry developed into advanced algebra (professional linear algebra)-modern algebra-group theory (many branches).
Mathematical analysis-real variable function-functional analysis (ditto).
All the above are general mathematical theories, and mathematics must be combined with reality, so there are courses such as probability theory and mathematical statistics (because mathematical theories are different, they are also divided into classical and modern) and stochastic mathematical methods.
Numerical analysis is also a mathematical application course, which is mainly used to calculate some equations.
Complex variable function is a generalization of mathematical analysis, that is, mathematical analysis in the range of complex numbers (I regard it as a special binary calculus when I study it).