1. Mathematical analysis: including calculus, series, function limit, continuity, differentiability, integration, etc.
2. Linear algebra: including vectors, matrices, determinants, linear equations, eigenvalues, eigenvectors, etc.
3. Probability statistics: including probability, random variables, probability distribution, expectation, variance, normal distribution, hypothesis testing, etc.
4. Digital logic: including propositional logic, predicate logic, Boolean algebra, logic circuits, etc.
5. Number theory and algebra: including integers, prime numbers, congruences, groups, rings, fields, etc.
6. Differential equations: including first-order and second-order ordinary differential equations, higher-order linear differential equations, variable coefficient differential equations, initial value problems of ordinary differential equations, etc.
7. Geometry and topology: including Euclidean geometry, non-Euclidean geometry, topology, etc.
The above are the contents of some common professional mathematics exams, and different schools and majors may be different.
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