compulsory course
The first chapter, collection
The basic relation of 1, set
2. The meaning and expression of set
3, the basic operation of the set
Chapter II Functions
1, the relationship between variables in life
2. Further understanding of the function
3. Functional
4、
Re-study of
5. Simple
chapter three
and
1, positive integer
2. Extension of the concept of exponent.
3、
4. Logarithm
5、
6. Exponential function,
、
raise
Chapter IV Functional Application
1, functions and equations
2. Functional modeling of practical problems
Beijing Normal University Edition
Compulsory Two
chapter one
initial
1, simple
2、
3、
4、
The basic relationship between
5. Parallel relationship
6. Vertical relationship
7. Simple
The area and volume of
8、
and
Simple application of
chapter two
initial
1, the equation of straight line and straight line
2. Circle and Circle Equation
3、
Beijing Normal University Edition
Compulsory three
Chapter I Statistics
1. Statistical activity: random selection of numbers.
2, from the census to
3、
4、
5. Data
6. Estimate the population with samples.
7. Statistical activities: changes in the age of marriage
8. association
9、
chapter two
1, the basic idea of the algorithm
2. The basic structure and design of the algorithm.
3. Sorting problem
4. A few basic sentences
Chapter III Probability
1、
Probability of
2、
3, simulation method-the application of probability
Beijing Normal University Edition
chapter one
1, periodic phenomena and
2. Popularization of the concept of angle.
3、
4、
5、
6、
7. Function image
8. Same angle
The basic relationship between
chapter two
1, from displacement, velocity, force to vector
2. From the synthesis of displacement to the addition of vectors.
3. From multiples of speed to vectors multiplied by numbers.
4、
Coordinates of
5. From force to work to vector
6、
Coordinate representation
7. Example of vector application
chapter three
1, sum and difference of two angles
2. Sine, Cosine and Double Angle
3、
trigonometric function
4, trigonometric function
and
5. Simple application of trigonometric function
Beijing Normal University Edition
Chapter one, sequence.
1, the concept of sequence
2. Functional characteristics of sequences
3. Arithmetic series
4. The top n sums of arithmetic progression.
5、
6、
Sum of the first n terms of
7. Application of sequence in daily economic life
chapter two
1、
and
2、
3、
4. Geometric calculation of triangle
5、
Examples of practical applications.
Chapter III Inequality
1, inequality relation
1. 1, inequality relation
1.2, relative size
2,
2. 1、
The solution of
2.2、
Application of
3、
3. 1
3.2、
And the maximum (minimum) value.
four
4. 1、
(group) and plane area
4.2, simple
4.3, simple
Application of
Elective course 1- 1
Chapter 1 Common Logical Terms
1 proposition
2
And necessary conditions
2. 1
2.2 Necessary conditions
2.3
three
and
3. 1
and
3.2
and
3.3
Have a special name
four
"and''' or ...'" No.
4. 1
"Is there?
4.2
"or
4.3 Logical conjunction ""is not
Chapter II Cone
1 ellipse
1. 1
Simple properties of 1.2 ellipse
2
2. 1
And its standard equation.
2.2
Simple attribute of
3 curve
3. 1
And its standard equation.
3.2
Simple attribute of
Chapter III Sum of Change Rates
The change speed and rate of 1
2
The Concept of ""and Its Geometric Significance
2. 1
The concept of
2.2 the geometric meaning of derivatives
3 calculate derivative
Four derivatives of 4
4. 1 derivative addition sum
rule
4.2 Law of multiplication and division of derivatives
Chapter IV Application of Derivatives
4. 1 derivative addition sum
rule
4.2 Law of multiplication and division of derivatives
Elective course 1-2
Chapter I Statistical Cases
1
1. 1
1.2
1.3 cans
about
2
2. 1
And independent events
2.2
2.3
The basic idea of
2.4 Application of independence test
chapter two
1
2
Chapter III Reasoning and Proof
1 induction and analogy
1. 1
1.2
2
three
and
3. 1
3.2
four
The fourth chapter is the expansion of number system and the introduction of complex numbers.
Extension of 1 number system and introduction of complex number
Extension of the concept of 1. 1 number
Related concepts of 1.2 complex numbers
2 complex
2. 1 addition and summation of complex numbers
2.2 Multiplication and division of complex numbers
Elective course 2- 1
Chapter 1 Common Logical Terms
1 proposition
2
And necessary conditions
three
and
4 Logical conjunction "AND" or "NOT"&; …& amp； …(
chapter two
and
1 From plane vector to
2
Operation of
The coordinates of three vectors represent the sum.
Discuss verticality and parallelism with vectors.
5 calculation of included angle
6 calculation of distance
Chapter III Cone
1 ellipse
1. 1
Simple properties of 1.2 ellipse
2 parabola
2. 1 parabola and its standard equation
2.2 Simple Properties of Parabola
three
3. 1 hyperbola and its standard equation
3.2 Simple properties of hyperbola
four
4. 1 curves and equations
4.2
* * * has the characteristics of ...
4.3 sum of straight lines
Intersection point of
Elective course 2-2
Chapter I Reasoning and Proof
1 induction and analogy
2
and
three
four
Chapter II Rate of Change and Derivative
The change speed and rate of 1
The concept of second derivative and its geometric significance
2. The concept of1derivative
2.2 the geometric meaning of derivatives
3 calculate derivative
Four derivatives of 4
4. 1 derivative addition and subtraction rule
4.2 Law of multiplication and division of derivatives
5 simple
Deduction rules of
Chapter III Application of Derivatives
1 function
and
Derivative and function of 1. 1
1.2 function
Application of second derivative in practical problems
2. Significance of1derivative in practical problems
2.2 Maximum and Minimum Problems
chapter four
1
The concept of
1. 1
Background-area and distance problems
1.2 definite integral
2
Simple application of 3 definite integral
3. 1
Area of
3.2 Simple
The volume of
The fifth chapter is the expansion of number system and the introduction of complex numbers.
Extension of 1 number system and introduction of complex number
Extension of the concept of 1. 1 number
Related concepts of 1.2 complex numbers
2 complex
2. Addition and subtraction of1complex number
2.2 Multiplication and division of complex numbers
Elective 2-3
chapter one
1. Classified addition
Sum fractional multiplication
1. 1 principle of classified addition counting
1.2 principle of step multiplication and counting
arrange
2. 1 arrangement principle
2.2
combine
3. 1 combination and
3.2
Two properties of
4. Simple counting problem
5.
5. 1
5.2
Nature of
Chapter II Probability
1.
and
2.
3.
And independent events
4.
5.
Average sum
5. 1
Average sum
( 1)
5.2
Average sum
(2)
6.
6. 1
6.2
Chapter III Statistical Cases
1. Regression analysis
Regression analysis of 1. 1
1.2
1.3 cans
Regression analysis based on
2. Independence test
2. 1 independence test
2.2 the basic idea of independence test
2.3 Application of independence test
Elective course 3- 1
The first chapter summarizes the development of mathematics.
Chapter II Numbers and symbols
chapter three
phylogeny
chapter four
superior
-
Chapter V Infinity
Chapter VI Appreciation of Famous Mathematics Problems
Elective course 3-2
Elective course 3-3
Chapter 1 The Basic Properties of the Ball
1. The relationship between straight line, plane and sphere
2. sum of spherical straight lines
Chapter II Triangle on Sphere
1.
shape
2. sum of spherical straight lines
3.
Angular relation of shape
4.
Shape area
chapter three
and
On the sphere.
2.
about
3.
and
Comparison of
Elective course 4- 1
The first chapter straight line,
, round
1. Consistency and similarity
2. Circle and straight line
3. Circle and quadrilateral
chapter two
1. Chapter Appreciation
2. The positional relationship between straight line and ball, plane and ball.
3.
Section with plane
4. Profile
5. Geometric properties of conic section
Elective 4-2
Chapter 1 Plane Vector and Second Order
1 plane vector sum vector operation
Coordinate representation of vector 2 and vector equation of straight line
3 second order
Multiply with a plane vector
chapter two
Sum matrix
1 several special
2
Nature of
Chapter III Synthesis and Transformation
Synthesis of 1 transformation and its application
2
Nature of
Chapter IV Inverse Transformation Sum
1 sum of inverse transformations
2
and
three
Sum inverse matrix
four
and
The fifth chapter matrix
and
1
about
and
2
Simple application in ecological model
Elective 4-3
Elective 4-4
chapter one
1
2
three
and
chapter two
1
The concept of
2 straight lines and cones
3 parameter equation is transformed into ordinary equation.
4 levels
and
Elective courses 4-5
Chapter I Unequal Relations and Basic Inequality
Properties of l inequality
2 Inequalities with absolute values
3 levels
four
Application of inequality 5
The second chapter is the inequality of several bigamy.
1
2
three
and
Elective courses 4-6
chapter one
Book-related
1, divisible and
2、
Chapter II Reducibility
1、
and
2、
and
3、
And its application
4、
chapter three
1、
And its application
2、
Still updating.