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1, function, limit and continuity
2. Derivative and differential
3. Indefinite integral
4. Definite integral and its application
5. Simple differential equations
It is generally believed that advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection.
The main contents include: series, limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations. Basic subjects for postgraduate examinations in engineering, science and engineering and finance.
Curriculum characteristics
In China, students majoring in science and engineering (except mathematics, who study mathematical analysis) have difficulty in learning mathematics, which is often called "advanced mathematics" in textbooks; Students majoring in literature and history learn a little shallower mathematics, and their textbooks are often called "calculus". Different majors in science and engineering, literature and history have different degrees of depth.
It is advanced mathematics that studies variables, but advanced mathematics does not only study variables. As for the courses related to "advanced mathematics", there are usually: linear algebra (advanced algebra for mathematics majors), probability theory and mathematical statistics (some mathematics majors study independently).
Baidu encyclopedia-advanced mathematics