Chapter 1 Limit and Continuity 1. 1 function 1, function and its characteristics 2, elementary function 3, common economic function 1.2 limit and its operation 1, limit 2 of sequence, limit 3 of function, infinite and infinite 4, four algorithms of limit 5, and two important limit continuity of function 1.3. Continuity of elementary functions. Experiments on the Properties of Continuous Functions on Closed Interval 1. Calculating Limits by Mathematica Chapter 2 Summary Exercise Chapter 2 Derivative, Differential and Its Application 2. Concept and Operation of1Derivative 1. Definition of Derivative 2. Relationship between Differentiability and Continuity 3. Law of derivation 4. Derivative of implicit function 5. Higher derivative 2.2. The concept of function differentiation II. Basic formulas and laws of differentiation. The application of differential in approximate calculation 2.3 L'H?pital's law of average value 1. Differential mean value theorem II. Monotonicity and Extremum of L'H?pital's Law 2.4 Function 1 Monotonicity of function 2. The application of extreme value and 2.5 derivative of maximum value of function in economic analysis 1. Marginal analysis II. Elastic analysis III. Optimization Analysis Experiment 2: Derivation and Differentiation by Mathematica This chapter summarizes Exercise 2: Chapter 3: Indefinite Integral 3. 1 Concept and Properties of Indefinite Integral 1: Concept of Indefinite Integral 2: Properties of Indefinite Integral 3: Basic Integral Formula 3.2 Integral Method of Indefinite Integral 1: Direct Integral Method 2: First Substitution Integral Method (Differential Method) The second alternatIVe integration method iv. Part integration experiment 3. Find indefinite integral with Mathematica. This chapter summarizes exercise 3. Chapter 4 The concept and properties of definite integral 4.11. The concept of definite integral II. Properties of definite integral 4.2 Basic Theorem of Calculus 1. Variable upper bound integral function II. Basic Theorem of Calculus 4.3 Substitution Integral Method and Partial Integral I. Substitution Integral Method of Definite Integral II. Partial integration of definite integral IV. 4 Application of definite integral I. Area of plane figure II. Example experiment of economic application problem IV. Finding definite integral with Mathematica This chapter summarizes exercise 4. Chapter 5 Differential calculus of multivariate functions 5. 1 binary functions and partial derivatives 1. The concept of binary function II. Limit and continuity of binary functions 3. Extreme value of partial derivative 5.2 binary function 1. Extreme value of binary function II. Application of maximum and minimum values. Experiment on Conditional Extremum and Lagrange Multiplier Method V. Using Mathematica to find the maximum value of partial derivatives of functions and multivariate functions This chapter summarizes exercise V. Chapter VI Concepts and operations of matrices and linear equations 6. 1 matrix I. Concept II of matrices. Several special matrices. Matrix operation 6.2 Inverse matrix and its solution 1. The concept of invertible matrix II. Elementary transformation of matrix and rank 3 of matrix. Method 4 of finding the inverse matrix. Properties of invertible matrices 6.3 Solutions and structures of linear equations 1. Matrix representation of linear equations II. Solution and theory of linear equations III. Solution and structure of homogeneous linear equations 4. Structure experiment of solutions of nonhomogeneous linear equations 6. Matrix operation and solving linear equations by Mathematica software. This chapter summarizes exercise 6. Chapter 7 Probability and statistics preliminary 7. 1 Random events and their probabilities 1. Random phenomena and random events II. Relationship and operation of events. Probability and addition formula 4. Conditional probability and multiplication formula 5. Independence of events Bernoulli probability 7.2 Random variables and their distribution I. The concept of random variables II. Discrete random variables and their probability distribution. Continuous random variables and their probability density VII.3 Numerical characteristics of random variables I. Mathematical expectation II. Variance VII.4 Parameter estimation I. Population and sample II. Statistics and sampling distribution. Parameter estimation experiment 7 uses Mathematica to calculate probability statistics. This chapter summarizes Exercise 7. Schedule 1 Common Formulas of Elementary Mathematics Schedule 2 Standard Normal Distribution Schedule 3 X2 Distribution Schedule 4 T Distribution Table Practice Answer Reference.