Book catalogue:

Chapter I Collection

The Meaning and Representation of 1 Set

2. Basic relations of sets

Basic operation of 3 sets

Reading materials Cantor and set theory

Chapter II Functions

1 Variables in life

2 Further understanding of the function

Monotonicity of 3 functions

Re-study on the Properties of Quadratic Function

5 Simple power function

Development of Functional Concepts of Reading Materials

Personal income tax calculation of project learning

Chapter III Exponential Function and Logarithmic Function

1 positive integer exponential function

2 Extension of the concept of exponent

3 exponential function

4 logarithm

5 logarithmic function

6 Comparison of exponential function, power function and logarithmic function growth

Three Great Inventions of Mathematical Calculation in the History of Reading Materials

Chapter IV Functional Application

1 functions and equations

2 Functional modeling of practical problems

The Function of Reading Materials and Middle School Mathematics

Explore the price problem of different models of the same commodity.

Mathematics II (compulsory) is a compulsory course of Beijing Normal University.

Book catalogue:

The first chapter is a preliminary study of solid geometry.

1 simple geometry

2 three views

3 direct vision

4 Basic relations and axioms of spatial graphics

5 Parallel relation

6 vertical relation

7 area and volume of simple geometry

Simple application of 8 area formula and volume formula

The reading material bee is right.

This topic studies the shape of the cube section.

The second chapter is a preliminary analysis of geometry.

1 equation of straight line and straight line

2 the equation between circles

3 space rectangular coordinate system

Descartes and Analytic Geometry as Reading Materials

Explore the packaging problem of activity 1

Survey activity 2 Follow-up questions

Math 3 (compulsory) is a compulsory course of Beijing Normal University.

philology

Chapter I Statistics

1 Statistical activity: random selection of numbers.

2 From census to sampling

3 sampling method

4 statistical chart

5 Digital characteristics of data

6 estimate the population with samples

7 Statistical Activities: Changes in Marriage Age

8 correlation

9 least square method

A brief history of reading materials statistics

Project learning investigates the trend of pop songs.

The second chapter is the preliminary algorithm.

The basic idea of 1

The basic structure and design of 2 algorithm

3 sequencing problem

4 A few basic sentences

This course studies the algorithm to determine the n-bisector of a line segment.

Chapter III Probability

1 Probability of random events

2 Classical probability

3 simulation method-the application of probability

Query activities estimate the value of pi ∏ by simulation.

Mathematics IV (compulsory) is a compulsory course of Beijing Normal University.

Book catalogue:

The first chapter trigonometric function

1 periodic phenomena and periodic functions

Generalization of the concept of angle 2

3 curvature system

4 sine function

5 cosine function

6 tangent function

Image of 7 function

Basic relations of 8 equiangular trigonometric functions

Reading materials, math and music

This topic studies the images explored by using modern information technology.

Chapter II Plane Vector

1 From displacement, velocity, force to vector

2 From displacement synthesis to vector addition

3 Vector from multiple of speed to multiple of number.

4 coordinates of plane vector

The product of the work done by the force to the vector

Coordinate representation of the scalar product of 6 plane vectors

Seven examples of vector application

Reading Material Vector and Middle School Mathematics

Chapter III Equivariant Deformation of Triangle

1 trigonometric function of sum and difference of two angles

Sine, cosine and tangent of 2 times angle

3 half-angle trigonometric function

Sum-difference product and difference product of trigonometric functions

Simple application of trigonometric function

This topic studies the mathematical problems in ferris wheel.

Mathematical problems in flag-raising activities

Math 5 (compulsory) is compulsory for Beijing Normal University.

The contents of this book are as follows:

The first chapter sequence

1 series

The concept of 1. 1 sequence

Functional characteristics of 1.2 sequence

2 arithmetic progression

2. 1 arithmetic progression

2.2 arithmetic progression's top n sums

3 geometric series

3. 1 geometric series

3.2 the first n sums of geometric series

Application of 4 series in daily economic life

Recommendations in this chapter

Review question one

Project learning and education savings

Chapter II Solving Triangle

1 sine theorem and cosine theorem

1. 1 sine theorem

1.2 cosine theorem

2 Geometric calculation in triangle

Practical application example of triangular solution

This chapter summarizes these suggestions.

Review question 2

Chapter III Inequality

1 inequality relation

1. 1 inequality relation

1.2 comparison size

2 unary quadratic inequality

2. Solution of1unary quadratic inequality

2.2 the application of one-dimensional quadratic inequality

3 Basic inequality

3. 1 basic inequality

3.2 Basic Inequalities and Maximum (Minimum) Values

4 Simple linear programming

4. 1 Binary Linear Inequality (Group) and Plane Region

4.2 Simple linear programming

4.3 Application of Simple Linear Programming

Reading materials, human potential

This chapter summarizes these suggestions.

Review question three

Query activity triangulation

Mathematics elective course 1- 1

Chapter 1 Common Logical Terms

1 proposition

2 Necessary and sufficient conditions

2. 1 Sufficient conditions

2.2 Necessary conditions

2.3 Necessary and sufficient conditions

3 Full name quantifiers and existential quantifiers

3. 1 full name quantifier and universal proposition

3.2 There are quantifiers and special propositions.

3.3 Negative full name proposition and proper name proposition

4 Logical conjunction "AND" or "NOT"

4. 1 logical conjunction "AND"

4.2 Logical conjunction "or"

4.3 Logical conjunction "Fei"

Chapter II Conic Curve and Equation

1 ellipse

1. 1 ellipse and its standard equation

Simple properties of 1.2 ellipse

2 parabola

2. 1 parabola and its standard equation

2.2 Simple Properties of Parabola

3 hyperbola

3. 1 hyperbola and its standard equation

3.2 Simple properties of hyperbola

Chapter III Rate of Change and Derivative

1 change speed and change rate

The concept of second derivative and its geometric significance

2. The concept of1derivative

2.2 the geometric meaning of derivatives

3 calculate derivative

Four algorithms of 4 derivative

4. 1 derivative addition and subtraction rule

4.2 Law of multiplication and division of derivatives

Chapter IV Application of Derivatives

Monotonicity and Extremum of 1 Function

Derivative and monotonicity of 1. 1 function

Extreme value of 1.2 function

Application of second derivative in practical problems

2. Significance of1derivative in practical problems

2.2 Maximum and Minimum Problems

Elective course 1-2

Chapter I Statistical Cases

The basic idea of 1. 1 regression analysis and its preliminary application

The basic idea of 1.2 independence test and its preliminary application

Practice homework

summary

Review reference questions

Chapter II Reasoning and Proof

2. 1 Rational reasoning and deductive reasoning

Reading and Thinking of Reasoning in Scientific Discovery

2.2 Direct proof and indirect proof

summary

Review reference questions

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

summary

Review reference questions

Chapter IV Block Diagram

4. 1 Flowchart

4.2 Structure Diagram

The application of information technology draws the flow chart with Word2002.

summary

Review reference questions

Mathematics Elective Course 2- 1

Chapter 1 Common Logical Terms

1 proposition

2 Necessary and sufficient conditions

2. 1 Sufficient conditions

2.2 Necessary conditions

2.3 Necessary and sufficient conditions

3 Full name quantifiers and existential quantifiers

3. 1 full name quantifier and universal proposition

3.2 Existential quantifiers and special propositions

3.3 Negative full name proposition and proper name proposition

4 Logical conjunction "AND" or "NOT"

4. 1 logical conjunction "AND"

4.2 Logical conjunction "or"

4.3 Logical conjunction "Fei"

This chapter summarizes these suggestions.

Review question one

Chapter II Space Vector and Solid Geometry

1 From plane vector to space vector

Operation of 2 space vectors

Coordinate representation of 3 vector and basic theorem of space vector

3. Standard orthogonal decomposition and coordinate representation of1space vector

3.2 Basic Theorem of Space Vector

3.3 Coordinate Representation of Space Vector Operation

Discuss verticality and parallelism with vectors.

5 calculation of included angle

5. 1 Angle between straight lines

5.2 Angle between planes

5.3 Angle between straight line and plane

6 calculation of distance

Application of subject learning space vector in mechanics

This chapter summarizes these suggestions.

Review question 2

Chapter III Conic Curve and Equation

1 ellipse

1. 1 ellipse and its standard equation

Simple properties of 1.2 ellipse

2 parabola

2. 1 parabola and its standard equation

2.2 Simple Properties of Parabola

3 hyperbola

3. 1 hyperbola and its standard equation

3.2 Simple properties of hyperbola

4 curves and equations

4. 1 curves and equations

4.2 * * * The same characteristics of conic curves

4.3 Intersection point of straight line and conic curve

Optical properties of reading material 1 conic curve

Reading material 2 circles and ellipses

This chapter summarizes these suggestions.

Review question three

Appendix 1 Chinese-English Comparison Table of Mathematical Vocabulary

Appendix 2 Information Retrieval Website Guide