1. Elementary Mathematics Foundation:
Students need to master the basic contents of elementary mathematics, including basic concepts and operation rules such as integer, fraction, decimal, algebra, equation, inequality, function, sequence and so on. Elementary mathematics has laid a solid foundation for the study of advanced mathematics.
2. Geometric basis:
Geometry is a branch of elementary mathematics. Students need to understand the basic concepts of plane geometry and solid geometry, and master the basic knowledge of the properties of various geometric figures and the calculation area and volume.
3. The preparatory knowledge of calculus:
Calculus is the core of higher mathematics. Students need to master the concepts of derivative and differential, basic operation rules, derivatives of commonly used functions, and understand the geometric and physical significance of differential. In addition, students need to master the concepts of indefinite integral and definite integral, the basic operation rules, the original functions of common functions, and understand the geometric and physical significance of integral.
4. The basis of trigonometry:
Students need to understand the definition, nature and basic formula of trigonometric function, grasp the image and transformation law of trigonometric function, understand the positive and negative situation of trigonometric function in each quadrant and the periodicity of trigonometric function in each angle.
5. Geometric basis of spatial analysis:
Students need to understand the basic concepts of spatial rectangular coordinate system, point, vector, straight line and plane, master the basic algorithm of vector, and understand the equations, positional relationships and properties of straight line and plane.
6. Basic knowledge of mathematical analysis:
Mathematical analysis is an important branch of higher mathematics. Students need to understand the concept of sequence, the definition and nature of limit, the limit, continuity, derivative and differential of function, the monotonicity of function and the concavity and convexity of curve.
7. The basis of multivariate function:
Students need to understand the concept of multivariate function, the definition and properties of partial derivative, and master the basic knowledge of extreme value, conditional extreme value and Lagrange multiplier method of multivariate function.