Step size and probability theory

Chapter 65438 +0 Function, Limit and Continuity

1. 1 summary and basic requirements

1. 1. 1 preparatory knowledge

The concept of 1. 1.2 function

Simplicity of 1. 1.3 function

1. 1.4 functional classification

The limit of 1. 1.5 function

1. 1.6 Infinite and Infinite

1. 1.7 Limit and Algorithm of Two Important Limits

Continuity of 1. 1.8 function

1.2 example analysis and method summary

1.2. 1 set, interval and neighborhood

Domain of 1.2.2 function

1.2.3 On the corresponding rules, composition, parity and periodicity of functions

The limit of 1.2.4 function

Continuity of 1.2.5 function

Chapter 2 Differential calculus of univariate function

2. 1 Overview and basic requirements

2. 1. 1 Basic concepts of derivative and differential

2. 1.2 Calculation method of derivative and differential

2. 1.3 Differential Mean Value Theorem

2. 1.4 derivative application

2.2 Case analysis and method summary

2.2. 1 Basic concepts of derivative and differential

2.2.2 Calculation method of derivative and differential

Differential mean value theorem

2.2.4 L'H?pital law

2.2.5 Monotonicity, Extremum and Maximum Value of Functions

2.2.6 Curve concavity and inflection point, function diagram

Chapter 3 Integral calculus of unary function

3. 1 Overview and basic requirements

3. 1. 1 indefinite integral

3. 1.2 Simple differential equation

3. 1.3 definite integral

3. 1.4 generalized integral

3. Application of1.5 definite integral

3.2 Case analysis and method summary

3.2. 1 Concepts and properties of primitive function and indefinite integral

3.2.2 Calculation of indefinite integral

Simple differential equation

3.2.4 Concepts and properties of definite integral and variable upper bound definite integral

3.2.5 Calculation of definite integral

Generalized integral

3.2.7 Application of definite integral

Chapter IV Multivariate Function Calculus

4. 1 Overview and basic requirements

4. 1. 1 Introduction to Spatial Analytic Geometry

4. Concept, limit and continuity of1.2 binary function

4. 1.3 Differential calculus of multivariate functions

4. 1.4 double integral

4.2 Case analysis and method summary

4.2. 1 Introduction to Spatial Analytic Geometry

4.2.2 Concept, limit and continuity of binary function

4.2.3 Partial derivative and total differential

4.2.4 Extreme value and conditional extreme value of multivariate function

double integral

The fifth chapter is a preliminary study of linear algebra.

5. 1 Overview and basic requirements

5. 1. 1 determinant

5. 1.2 Matrix and Gauss Elimination Method

5. 1.3 vector

5. 1.4 linear equations

5.2 Case analysis and method summary

5.2. 1 determinant

5.2.2 Matrix and Gaussian Elimination Method

Vector sum linear equation

The sixth chapter is the preliminary study of probability theory.

6. 1 Overview and basic requirements

6. 1. 1 random events and sample space

6. 1.2 permutation and combination

6. 1.3 probability

6. 1.4 Distribution and numerical characteristics of random variables

6. 1.5 normal distribution

6.2 Case analysis and method summary

6.2. 1 random events and sample space

6.2.2 Arrangement and combination

6.2.3 Classical Probability Calculation and Probability Attribute

6.2.4 Conditional Probability and Multiplication Formula

6.2.5 Independence of events and binomial probability formula

6.2.6 Total Probability Formula and Bayesian Formula

6.2.7 Distribution and numerical characteristics of random variables

normal distribution