1. The concepts, properties and calculation of sequence limit and function limit;

2. The concept, properties and application of continuous function (including uniform continuity);

3. The basic theorem of real numbers and its application.

(2) Calculus

1. The concept, properties and calculation of the derivative of univariate function and multivariate function;

2. The basic theorem of differential calculus and its application.

(3) Integral calculus

The concept, properties and calculation of 1. unary function integral calculus;

2. The concept, properties and calculation of multiple integrals;

3. The concept, properties and calculation of curve and surface integral;

4. The relationship between various integrals.

Series theory and generalized integral

1. The concepts, properties and convergence (including uniform convergence) of constant term series and generalized integral;

2. The concepts, properties and convergence (including uniform convergence) of function term series and generalized integral with parametric variables;

3. Special series of function terms-power series and Fourier series.

Four, calculator use requirements

No calculator is required for this course.

Attachment 1: test questions introduction reference

1, calculation content (***60 points)

2, proof content (***90 points)