1. 1 mathematical model

1.2 Mathematical Modeling and Mathematical Modeling Competition

Mathematical modeling of 1.2. 1

1.2.2 Mathematical Modeling Competition

1.3 Mathematical Experiment

1.3. 1 mathematical experiment

1.3.2 Content and teaching mode of mathematical experiment

1.4 example of calculus modeling

1.4. 1 Reasonable tax avoidance

1.4.2 ICBC interest mode

1.4.3 design model of dangerous gas detection and alarm device

1.4.4 Hotel Pricing

1.4.5 work efficiency model

1.4.6 Model for setting flashing time of yellow light under urban traffic flow

utilize

Chapter 2 Mathematical Modeling Tasks

2. 1 MATLAB to realize the task

2. 1. 1 Fly over the North Pole

2. 1.2 optimal scheme for individual income tax payment

2. 1.3 capital use plan

2. 1.4 Optimum design of the size of cans

2. 1.5 Management of fish ponds

2. 1.6 population forecasting model

2. 1.7 drunk driving

2.2 argot to achieve the task

2.2. 1 optimization model of capital use plan

2.2.2 Optimal model for crossing the Yangtze River

2.2.3 Optimal design and optimization model of tank size

2.2.4 Clothing problems and swimming material selection optimization model

2.3 tasks realized by excel

2.3. 1 Flying over the North Pole

2.3.2 Distinguish whether the coal mine is a low gas mine or a high gas mine.

2.3.3 Bank interest rate forecast and tax payment issues

2.3.4 Population forecasting model

2.4 Mathematical Modeling Practice Test Paper

utilize

The third chapter is MATLAB mathematics experiment.

3. 1 introduction of mathematical software MATLAB

3. Introduction to1.1MATLAB

3. 1.2 notebook installation and basic operation exercises

3.2 Arrays and matrices

3.2. 1 Array Construction and Access to Array Elements

Array operation

3.2.3 Construction of Matrix and Operation of Matrix Elements

matrix operation

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3.3 Function, Function Value and Function Diagram

3.3. 1 function, function value and creation function

functional diagram

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3.4 Symbolic operation

3.4. 1 Operation of creating symbols and symbol expressions

Symbolic calculus

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3.5 Root and Extreme Value

3.5. 1 equation and equation

extreme value

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3.6 programming language structure

3.6. 1 conditional statement structure

3.6.2 Circular statement structure

MATLAB programming example

utilize

3.7 Numerical calculation

3.7. 1 Find the root of the nonlinear equation

numerical calculation

utilize

3.8 data transmission between data and external files

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Chapter 4 LINGO Mathematical Experiment

4. 1 Brief introduction of optimization software LINGO

4. 1. 1 Optimization model and basic overview of LINGO

4. 1.2 Basic usage of jargon

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4.2 Linear programming mathematical model and LINGO implementation

4.2. 1 linear programming mathematical model

4.2.2 The mathematical model of linear programming is solved by LINGO.

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4.3 Nonlinear Programming Mathematical Model and LINGO Implementation

4.3. 1 nonlinear programming mathematical model

4.3.2 The mathematical model of nonlinear programming is solved by LINGO.

4.3.3 Quadratic programming mathematical model and LINGO implementation

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4.4 integer programming mathematical model and LINGO implementation

4.4. 1 integer programming mathematical model

4.4.2 The mathematical model of integer programming is solved by LINGO.

4.4.3 0- 1 Programming Mathematical Model and LINGO Implementation

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4.5 Loop statement programming

4.5. 1 cyclic function

Examples of loop statements

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Data transmission between lingo and external files

utilize

4.7 Optimization model evaluation

4.7. 1 shortest path problem

4.7.2 Traveling Salesman Problem

Chapter 5 EXCEL Mathematics Experiment

5. 1 EXCEL basic operation

5. 1. 1 array operation

5. 1.2 function evaluation

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5.2 EXCEL drawing images

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5.3 EXCEL numerical analysis

5.3. 1 numerical solution

numerical calculation

Regression analysis

5.3.4 Data statistics

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5.4 EXCEL custom function

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Chapter VI Differential Equation Model

6. 1 Introduction to the concept of differential equation

6. 1. 1 reference example

6. 1.2 Related concepts of differential equations.

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6.2 Common differential equation model

6.2. 1 MATLAB to solve differential equations

Differential equation model

utilize

6.3 Application of Differential Equation in Mathematical Modeling

Chapter VII Data Fitting Method

7. 1 data fitting

7. 1. 1 reference example

7. 1.2 curve fitting

7.2 least square fitting

7.2. 1 least squares criterion

7.2.2 Linear least square fitting

Nonlinear least square fitting

7.2.4 MATLAB method is used to realize the overdetermined equation in the sense of polynomial fitting and least square.

……

Chapter VIII Data Statistics and Regression Analysis

Chapter 9 Case Analysis of Mathematical Modeling

appendix

refer to