Abstract algebra class

Nowadays, mathematics plays a vital role in science, engineering, medicine and economy. The application of mathematics in these fields is usually called applied mathematics. Mathematicians also study pure mathematics, which is the substantive content of mathematics itself and does not aim at any practical application.

American Mathematics Tutoring: A Typical Course of Mathematics in American Universities

combinatorial mathematics

differential equation

Discrete mathematics

Statistical principles of elementary statistics

linear algebra

mathematical modeling

Modern algebra modern algebra/abstract algebra

Modern geometry

Multivariable calculus

number theory

Real number analysis