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What should a math major learn?
Professional basic courses:

Analytic geometry (last semester of freshman year)

Mathematical analysis I (last semester of freshman year)

Mathematical analysis II (freshman semester)

Mathematical Analysis III (sophomore last semester)

Advanced algebra I (freshman last semester)

Advanced Algebra II (freshman semester)

Ordinary differential equation (sophomore last semester)

Abstract algebra (second semester of sophomore year)

Fundamentals of probability theory (second semester of sophomore year)

Complex variable function (second semester of sophomore year)

Modern algebra (second semester of sophomore year)

Professional core courses:

Real variable function (last semester of junior year)

Partial differential equation (last semester of junior year)

Probability theory (last semester of junior year)

Topology (next semester of junior year)

Functional analysis (next semester of junior year)

Differential geometry (next semester of junior year)

Mathematical equation (junior year next semester)