Section 1 Mathematics and Mathematical Thought
Exercise 1. 1
Section 2 A Brief History of Geometry Development
Exercise 1.2
Section 3 A Brief History of Algebra Development
Exercise 1.3
Section 4 A Brief History of Calculus Development
Exercise 1.4
Section 5 A Brief History of the Development of Probability Theory
Exercise 1.5
Section VI Overview of Mathematics Development in China
Exercise 1.6
Chapter II Function Limit and Calculus
Section 1 Functions and Restrictions
Exercise 2. 1
Derivative and differential in the second quarter
Exercise 2.2
The third quarter integral calculus
Exercise 2.3
Chapter III Linear Algebra
Section 1 Determinant
Exercise 3. 1
Matrix in the second quarter
Exercise 3.2
The third section linear equation
Exercise 3.3
Chapter 4 Introduction to Linear Programming
Section 1 Mathematical Model of Linear Programming
Exercise 4. 1
The solution of bivariate linear programming in the second quarter
Exercise 4.2
The fifth chapter is a preliminary study of probability theory.
Section 1 Random Events and Their Probability
Exercise 5. 1
Section 2 Random Variables and Their Distribution
Exercise 5.2
The numerical characteristics of random variables in the third quarter
Exercise 5.3
Chapter VI Introduction of Mathematical Statistics and the Use of Statistical Software
Section 1 Introduction
Exercise 6. 1
Section 2 Basic Use of SPSS Statistical Software
Exercise 6.2
Section 3 Linear Statistical Inference
Exercise 6.3
Answers to some exercises
appendix
The first chapter is an overview of mathematics.
1, 1 Art and Mathematics
1.2 Characteristics and properties of mathematics
Origin and numbering system of 1.3 tree
1.4 Several stages of mathematical development
1.5 Creation of Calculus
1.6 the development of mathematics in China.
1 7 mathematical proposition and its proof method
Chapter II Functions
2. 1 Preparatory knowledge
2.2 Functional concept and simplicity
2.3 Elementary function
2.4 Parameter Equation and Polar Coordinates
Chapter III Restriction and Continuity
3. Limit of1function
3.2 Infinity and Infinity
3.3 Limit algorithm
3.4 Two important limitations
3.5 Comparison of infinitesimal quantities
3.6 Continuity of functions
Chapter IV Derivative and Differential
4. The concept of1derivative
4.2 Function differentiation method
4.3 Higher derivative
4.4 differences
4.5 Differential method of WeChat service and function expressed by parameter equation
Chapter 5 Differential Mean Value Theorem and Derivative Application
5. 1 differential mean value theorem
5.2 Laws of L'H?pital
5.3 Monotonicity and Extremum of Functions
5.4 Maximum and Minimum Problems
5.5 Drawing inflection point function of concave-convex sexual desire curve
5.6 Approximate solution of the equation
Chapter VI Indefinite Integral
6. 1 primitive function and integral
6.2 alternative extreme value method
6.3 parts integration
6.4 Use of Integral Table
6.5 Simple Integral Equation
Chapter VII Definite Integral and Its Application
7. Use of1definite integral
7.2 Properties of definite integral
7.3 the relationship between definite integral and indefinite integral
7.4 Substitution method of definite integral
7.5 the distributed integral method of definite integral
7.6 Approximate calculation of definite integral
7.7 Application of definite integral
7.8 generalized integral
Chapter 8 Multivariate Function Calculus
8. Analytic Geometric Functions in1
8.2 multivariate function
8.3 Partial Derivative and Total Differential
8.4 Least Square Method for Extremum of Multivariate Function
8.5 double integral
Chapter 9 A Preliminary Study of Linear Algebra
Chapter 10 A Preliminary Study of Probability Theory