1. Function and limit: Learn the concept, properties and basic elementary function of function, and master the definition, properties and calculation method of limit.
2. Derivative and differential: Learn the concept, properties and calculation method of derivative, and master the definition, properties and application of differential.
3. Integral: Learn the concepts, properties and calculation methods of indefinite integral and definite integral, and master the application of integral.
4. Differential calculus of multivariate functions: learn the concept, properties and calculation methods of differential calculus of multivariate functions, and master important concepts such as partial derivative, total differential and chain rule.
5. Double Integral: Learn the concepts, properties and calculation methods of double integral and triple integral, and master the application of double integral.
6. Curve and surface integral: Learn the concept, properties and calculation methods of curve and surface integral and master its application.
7. Infinite series: learn the concepts, properties and convergence judgment methods of several series and function series, and master the summation formula of series.
8. Ordinary differential equations: learn the basic concepts, solutions and properties of ordinary differential equations, and master the solutions of first-order and second-order ordinary differential equations.
9. Probability theory and mathematical statistics: learn the basic concepts of probability theory, random variables and their distribution, multidimensional random variables and their distribution, and master the basic concepts and methods of mathematical statistics.
10. Complex variable function: Learn the basic concepts of complex numbers, the properties and calculation methods of complex variable functions, and master important concepts such as analytic functions, holomorphic functions and multivalued functions.