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Comparison of Mathematics Curriculum Contents between College Mathematics Major and Other Majors
There is no comparability. The curriculum of mathematics major focuses on training thinking and emphasizes rigor. Most mathematics courses are not studied by other majors, such as real variable function, functional analysis, modern algebra, differential geometry, Riemannian geometry, stability theory of differential equations, topological analysis and so on. Even though the course name is the same, the content is quite different. For example, the department of complex function mathematics emphasizes theory and thinking, while other majors emphasize application and ignore theory. For example, some theorems must be proved by mathematics majors, but engineering students can use them, but they are generally not proved. The difference is that mathematics majors know what it is and why, while other majors only know what it is and don't know why. At the time of application, the mathematics major was original, and other majors followed suit.