1. 1 set

1.2 function and its representation

The Basic Properties of 1.3 Function Chapter II Basic Elementary Functions (Ⅰ)

2. 1 exponential function

2.2 Logarithmic function

2.3 Power Function Chapter III Application of Function

3. 1 functions and equations

3.2 Functional model and its application

Compulsory 2 Chapter 1 Space Geometry

1. 1 spatial geometry

1.2 Three Views and Straight Views of Space Geometry

1.3 surface area and volume of space geometry chapter ii positional relationship of points, lines and surfaces.

2. 1 The positional relationship among points, lines and surfaces in space

2.2 Determination of parallelism between straight line and plane and its properties

2.3 Determination and Properties of Vertical Lines and Vertical Plane Chapter III Straight Lines and Equations

3. 1 Angle and slope of straight line

3.2 linear equation

3.3 Formula for coordinates and distance of intersection points of straight lines

The fourth chapter circle sum equation

4. Equation of1circle

4.2 The positional relationship between straight line and circle

4.3 Spatial Cartesian Coordinate System

Compulsory 3 Chapter 1 Preliminary Algorithm

1. 1 algorithm and program block diagram

1.2 basic algorithm statement

1.3 Algorithm Case Chapter II Statistics

2. 1 random variable

2.2 Using samples to estimate the population

2.3 Correlation between variables Chapter III Probability

3. 1 Probability of random events

3.2 Classical probability

3.3 Geometric probability

Compulsory 4 Chapter 1 Trigonometric Function

1. 1 arbitrary angle and arc system

1.2 trigonometric function at any angle

The inductive formula of 1.3 trigonometric function

Images and properties of 1.4 trigonometric function

1.5 function image

1.6 Simple Application of Trigonometric Function Model Chapter II Plane Vector

2. The actual background and basic concepts of1plane vector

2.2 Linear Operation of Plane Vector

2.3 the basic theorem of plane vector and its coordinate representation

2.4 product of plane vectors

2.5 plane vector application example Chapter III trigonometric identity transformation

3. 1 sine, cosine and tangent sum difference formula

3.2 Simple trigonometric identity transformation

Compulsory 5 Chapter 2 Solving Triangle

1. 1 sine theorem and cosine theorem

Application example of 1.2

1.3 exercise homework chapter 2 series

2. The concept and simple representation of1sequence

2.2 arithmetic progression

2.3 arithmetic progression's top n sums

2.4 geometric series

2.5 the first n terms of geometric series and the third chapter inequality

3. 1 inequality relation and inequality

3.2 One-variable quadratic inequality and its solution

3.3 Binary Linear Inequalities (Groups) and Simple Linear Programming Problems

3.4 Basic inequality:

Elective course 1- 1

Chapter 1 Common Logical Terms

1. 1 proposition and its relationship

The necessary and sufficient condition of 1.2

1.3 Simple logical conjunction

1.4 Full-name Quantifier and Existential Quantifier Chapter II Conic Curve and Equation

2. 1 ellipse

2.2 hyperbola

2.3 Parabolic Chapter III Derivative and Its Application

3. 1 rate of change and derivative

3.2 Calculation of Derivative

3.3 Application of Derivative in Function Research

Elective course 1-2 chapter 1 statistical cases chapter 2 reasoning and proof chapter 3 expansion of number system and introduction of complex numbers.

Chapter IV Block Diagram

Elective course 2- 1 common logical terms in the first chapter

1. 1 proposition and its relationship

The necessary and sufficient condition of 1.2

1.3 Simple logical conjunction

1.4 Full-name Quantifier and Existential Quantifier Chapter II Conic Curve and Equation

2. 1 curves and equations

2.2 ellipse

2.3 hyperbola

2.4 Parabola Chapter III Space Vector and Solid Geometry

3. 1 space vector and its operation

3.2 vector method in solid geometry

Elective 2-2 Chapter 1 Derivative and Its Application

1. 1 rate of change and derivative

Calculation of 1.2 derivative

Application of 1.3 derivative in function research

1.4 examples of optimization problems in life

The concept of 1.5 definite integral

1.6 Fundamental Theorem of Calculus

The Simple Application of 1.7 Definite Integral Chapter II Reasoning and Proof

2. 1 Rational reasoning and deductive reasoning

2.2 Direct proof and indirect proof

2.3 Mathematical induction

Chapter 3: The extension of number system and the introduction of complex numbers.

3. Generalization of1number system and the concept of complex number

3.2 Four operations in complex algebraic form

Elective 2-3 Chapter 1 Counting Principles Chapter 2 Statistical Cases Chapter 3 Probability

Elective course 3- 1 Selected lectures on the history of mathematics

Elective Course 3-2 Information Security and Password

Take 3-3 geometric figures on the sphere.

Elective Course 3-4 Symmetry and Group

Elective 3-5 Euler Formula and Classification of Closed Surfaces

Elective course 3-6 angle trisection and number field expansion

Elective course 4- 1 geometric proof.

Elective 4-2 Matrix and Transformation

Elective 4-3 series and its differences

Elective 4-4 coordinate system and parameter equation

Lecture on inequality 4-5.

Elementary Number Theory in Elective Course 4-6

Selection method and preliminary experimental design of elective courses 4-7

Preliminary study on elective 4-8 overall planning method and graph theory

Elective 4-9 Risk and Decision-making

Elective 4- 10 switching circuit and boolean algebra.

Mathematics 1- 1 (optional) version a

Mathematics 1- 2 (optional) version a

Math 2- 1 (optional) version a

Math 2- 2 (optional) A version

Mathematics 2- 3 (optional) A version

Mathematics 3- 1 (optional) Selected Lecture of Mathematics History A Edition

Mathematics 3- 4 (Elective) Edition A Symmetry and Group

Selected Lecture on Geometry Proof of Mathematics Edition 4- 1 (Optional)

Mathematics 4- 2 (Elective) Edition A Matrix and Transformation

Mathematics 4- 4 (Optional) Edition A Coordinate and Parameter Equation

Selected lectures on mathematics version 4-5 A inequality (optional)

Elementary number theory in mathematics 4- 6 (optional) A version

Mathematical optimization method and experimental design version 4- 7 (optional) A

Mathematics 1- 1 (optional) version b

Mathematics 1- 2 (optional) version b

Math 2- 1 (optional) version b

Mathematics 2- 2 (Optional) B Edition

Mathematics 2- 3 (Optional) B Edition

Mathematics 3- 1 (optional) version b symmetry and groups

Mathematics 3- 4 (Optional) B Edition Selected Lecture on Mathematics History

Selected lectures on mathematical geometry proof 4- 1 (optional) version b

Mathematics 4- 2 (Elective) Edition B Matrix and Transformation

Mathematics 4- 4 (optional) version B coordinate system and parameter equation

Selected lectures on inequalities in mathematics 4- 5 (optional) B version

Mathematics 4- 6 (optional) B version

Optimization method and experimental design of Mathematics 4- 7 (optional) version B

Mathematics 4- 9 (Elective) Edition B Risk and Decision-making