The main development direction of mathematics is the combination of mathematics and calculation. Combining mathematical algorithms with computer technology to solve practical problems, you will learn by going up one flight of stairs from computer in the future, because your algorithm is more advanced than theirs. This is the main survey of the mathematical modeling competition.
The gold content of mathematical model competition is also relatively high. You won the ranking in the competition, which can completely prove that you have certain strength ~ ~
You don't need to worry about your poor math scores. I have participated in several competitions, and my knowledge of mathematics is not very advanced. High school mathematics can solve many problems, mainly optimization and simulation. I think it is more important to test one's thinking ability. Besides, you only need one specialty in math, computer and writing ~ ~
If you take part in the competition, you will really gain a lot and learn a lot of new knowledge. In this way, you can know that what you have learned can be used in your life, thus stimulating your interest in learning. Really, I strongly recommend you to learn some ~ ~ to participate in the competition ~ ~ If you have any other questions to ask, hehe ~ ~ I have done modeling and writing, and my programming is similar ~ ~
Question 2: What is model thinking? Model thinking method is one of the most common and widely used mathematical thinking methods in senior high school teaching. Mathematics in senior one is the starting point for students to learn in senior high school. Teachers should properly infiltrate the mathematical model thinking method in the teaching process of this book, which can not only visualize the mathematical problems in this book and make them easy for students to understand, but also improve students' initiative and thinking ability to analyze problems independently and form good thinking habits. At the same time, as an undergraduate majoring in normal mathematics, he will generally engage in the teaching of mathematics in senior one, and this paper can play a certain guiding role. This paper refers to all kinds of literature and combines with the current relevant mathematics teaching theories. Starting from the specific processes and methods that appear in mathematics classroom, it mainly discusses how to infiltrate the mathematical model thinking method in senior one mathematics teaching and what problems should be paid attention to in the use process. Mathematical model of keywords; Thinking; Teaching; Generally speaking, the mathematical model is a mathematical structure model expressed abstractly, generally or approximately by using formal mathematical language and referring to the main characteristics and relations of an objective thing. All mathematical concepts, mathematical theoretical systems, various mathematical formulas, various equations, various functional relationships, and an algorithm system composed of a series of formulas can be called mathematical models. These models are organically combined through the processing and logical processing of teaching methods, which constitutes the middle school mathematics knowledge system. In this sense, we can say that middle school mathematics teaching is actually the teaching of mathematical models, and the method of solving related problems by constructing mathematical models is called mathematical model thinking method. With the development of science and technology, especially the wide application of modern computers and the digitalization of science and technology, the method of solving practical problems by constructing mathematical models has been widely used in natural science, engineering technology and social science. Appropriate infiltration of mathematical model thinking method in middle school mathematics teaching can visualize abstract mathematical knowledge and play a great role in cultivating students' observation and analysis ability and logical thinking ability. Make it easier for students to understand, deepen their memory and use their knowledge and mathematics flexibly. Senior one mathematics is the starting point for students to learn mathematics in senior high school. Because students have just entered junior high school, they have mastered some elementary mathematics knowledge and formed a basic way of thinking, but they have not yet formed a systematic understanding of mathematical model thinking methods and have not had enough practical experience. Moreover, the teaching of mathematics in senior one involves the most widely used content in senior one-function, so it is beneficial for students to gradually form good thinking habits and improve their mathematical knowledge and problem-solving ability by infiltrating mathematical model thinking methods from the beginning of senior one. At present, quality education advocates the change from the method of emphasizing teaching to the method of emphasizing learning. Students are the main body of learning and teachers are the instructors. How to explore the potential mathematical model thinking methods in the content of teaching materials and guide students to apply them imperceptibly in teaching is the ability that a middle school mathematics teacher should have. The thinking method of mathematical model can be applied to conventional mathematical problems and other practical problems in the teaching of this textbook. To establish a mathematical model of practical problems requires some insight and imagination, screening and discarding secondary factors, highlighting the main factors, and making appropriate abstraction and simplification. The whole process is generally divided into several stages: expression, solution, explanation and verification, and through these stages, the cycle from physical object to mathematical model and then from mathematical model to physical object is completed, which can be expressed as follows: Figure 1 application flow chart of mathematical model thinking method Of course, in the process of solving conventional mathematical problems, it is more common to transform the mathematical model reflected by existing problems into another mathematical model in order to obtain the best way to solve problems. Therefore, in most cases, the specific steps are different when using mathematical model thinking method for different topics, but the most important thing is how to establish a suitable model to make the problem easier to solve.
Question 3: What is mathematical modeling? China mathematical modeling.
shumo/main/
National College Students' Mathematical Modeling Homepage
csiam.edu/mcm/
International Mathematical Modeling Homepage
csiam.edu/mcm/
Zhejiang university mathematics modeling Zhan
csiam.edu/mcm/
mathematical model
Mathematical model is to make some necessary assumptions about specific objects and specific purposes in the real world according to unique internal laws, and use appropriate mathematical tools to get a mathematical structure.
To put it simply, it is a mathematical expression of a certain characteristic essence of the system (or a description of some real world in mathematical terms), that is, it uses mathematical formulas (such as functions, graphs, algebraic equations, differential equations, integral equations, difference equations, etc.). ) to describe (express and simulate) the existence law of an objective object or system studied in a certain aspect.
mathematical modeling
Mathematical modeling is a practice of using mathematical methods to solve practical problems. That is, through the process of abstraction, simplification, hypothesis and introduction of variables. The practical problems are expressed by mathematics, the mathematical model is established, and then advanced mathematical methods and computer technology are used to solve them.
Mathematical modeling comprehensively applies all kinds of knowledge to solve practical problems, which is one of the necessary means to cultivate and improve students' ability to apply what they have learned to analyze and solve problems.
General methods and steps of mathematical modeling
There is no certain pattern in the methods and steps of establishing mathematical model, but an ideal model should reflect all the important characteristics of the system: the reliability and availability of the model. General methods of modeling:
Mechanism analysis: according to the understanding of the characteristics of real objects, analyze their causal relationship and find out the laws that reflect the internal mechanism. The established model usually has clear physical or practical significance.
Test and analysis method: the research object is regarded as a "black box" system, and the internal mechanism cannot be directly sought. By measuring the input and output data of the system, and on this basis, using the statistical analysis method, the model with the best data fitting is selected from a certain type of model according to the predetermined standard. Test analysis method is also called system identification.
Combining these two methods is also a common modeling method, that is, the structure of the model is established through mechanism analysis, and the parameters of the model are determined through system testing.
In the actual process, which method to use for modeling mainly depends on our understanding of the research object and the purpose of modeling. The concrete steps of mechanism analysis and modeling are roughly as follows:
1, the variables and parameters are determined by abstraction, simplification and assumption in practical problems;
2. Establish a mathematical model, solve it mathematically and numerically, and determine the parameters; 3. Test the mathematical model with the measured data of practical problems.
4, in line with the reality, delivered to use, can produce economic and social benefits; Unrealistic, re-model.
Classification of mathematical models:
1. According to the research methods and mathematical characteristics of the object, it can be divided into elementary model, geometric model, optimization model, differential equation model, graph theory model, logic model, stability model and statistical model.
2. According to the actual field (or discipline) of the research object, it is divided into population model, traffic model, environment model, ecological model, physiological model, urban planning model, water resource model, pollution model, economic model and social model.
Mathematical modeling needs rich mathematical knowledge ... >; & gt
Question 4: Can you lose weight successfully if you keep the same weight for several years (158cm, 5 1.5KG)? Yeah, you're not fat. Keep it.
Question 5: 1. What is a mathematical model? What are the general steps of mathematical modeling? 2. What abilities and knowledge are needed for mathematical modeling? Good answer, reward 100. Mathematical modeling is a practice of solving practical problems by mathematical methods, that is, through the processes of abstraction, simplification, assumption and introduction of variables, the practical problems are expressed mathematically, a mathematical model is established, and then advanced mathematical methods and computer technology are used to solve them.
Mathematical modeling comprehensively applies all kinds of knowledge to solve practical problems, which is one of the necessary means to cultivate and improve students' ability to apply what they have learned to analyze and solve problems.
General methods and steps of mathematical modeling
There is no certain pattern in the methods and steps of establishing mathematical model, but an ideal model should reflect all the important characteristics of the system: the reliability and availability of the model. General methods of modeling:
Mechanism analysis: according to the understanding of the physical characteristics, analyze the causal relationship and find out the laws reflecting the internal mechanism. The established model usually has clear physical or practical significance.
Test and analysis method: the research object is regarded as a "black box" system, and the internal mechanism cannot be directly sought. By measuring the input and output data of the system, and on this basis, using the statistical analysis method, the model with the best data fitting is selected from a certain type of model according to the predetermined standard. Test analysis method is also called system identification.
Combining these two methods is also a common modeling method, that is, the structure of the model is established through mechanism analysis, and the parameters of the model are determined through system testing.
In the actual process, which method to use for modeling mainly depends on our understanding of the research object and the purpose of modeling. The concrete steps of mechanism analysis and modeling are roughly as follows:
1, the variables and parameters are determined by abstraction, simplification and assumption in practical problems;
2. Establish a mathematical model, solve it mathematically and numerically, and determine the parameters;
3. Test the mathematical model with the measured data of practical problems.
4, in line with the reality, delivered to use, can produce economic and social benefits; Not realistic, re-model.
Classification of mathematical models:
1. According to the research methods and mathematical characteristics of the object, it can be divided into elementary model, geometric model, optimization model, differential equation model, graph theory model, logic model, stability model and statistical model.
2. According to the actual field (or discipline) of the research object, it is divided into population model, traffic model, environment model, ecological model, physiological model, urban planning model, water resource model, pollution model, economic model and social model.
Mathematical modeling needs rich mathematical knowledge, involving advanced mathematics, discrete mathematics, linear algebra, probability statistics, complex variable functions and other basic mathematical knowledge. At the same time, you need a wide range of interests, strong logical thinking ability and strong language expression ability.
What do you need to know to participate in the mathematical modeling competition?
I. National Mathematical Modeling Competition for College Students
Second, the methods and general steps of mathematical modeling
Third, important mathematical models and corresponding case studies.
1, case analysis of linear programming model and economic model
2. Case analysis of 2.AHP model and management model.
3. Statistical regression model and case analysis.
4. Graph theory model and case analysis.
5. Differential equation model and case analysis.
Fourth, related software.
1, Matlab software and programming; 2.Lingo software; 3.Lindo software.
Five, ten commonly used digital and analog algorithms
1. Monte Carlo algorithm 2. Data processing algorithms, such as data fitting, parameter estimation and interpolation. 3. Programming algorithms, such as linear programming, integer programming, multivariate programming and quadratic programming. 4. Graph theory algorithm. 5. Computer algorithms, such as dynamic programming, backtracking search, divide and conquer algorithm, branch and bound. 6. Three nonclassical algorithms of optimization theory. 7. Grid algorithm and exhaustive method. 8. Several discretization methods of continuous data. 9. Numerical analysis algorithm. 10. Image processing algorithm.
VI. How to obtain information
Seven, how to write a paper
Eight, how to organize the team: team spirit, good at cooperation, constantly ask questions and solve problems.
Nine, how to win the prize: relatively complete, there are several innovations.
X. how to deal with information: WORD, LaTeX, fly ball, QQ.
In fact, just look at the examples and understand some basic models. I also have many examples here. If there are important lectures in various schools, just ask me ... >>
Question 6: What is a mathematical model? China Mathematical Modeling?
shumo/main/
National College Students' Mathematical Modeling Homepage
csiam.edu/mcm/
International Mathematical Modeling Homepage
csiam.edu/mcm/
Zhejiang university mathematics modeling Zhan
csiam.edu/mcm/
mathematical model
Mathematical model is to make some necessary assumptions about specific objects and specific purposes in the real world according to unique internal laws, and use appropriate mathematical tools to get a mathematical structure.
To put it simply, it is a mathematical expression of a certain characteristic essence of the system (or a description of some real world in mathematical terms), that is, it uses mathematical formulas (such as functions, graphs, algebraic equations, differential equations, integral equations, difference equations, etc.). ) to describe (express and simulate) the existence law of an objective object or system studied in a certain aspect.
mathematical modeling
Mathematical modeling is a practice of using mathematical methods to solve practical problems. That is, through the process of abstraction, simplification, hypothesis and introduction of variables. The practical problems are expressed by mathematics, the mathematical model is established, and then advanced mathematical methods and computer technology are used to solve them.
Mathematical modeling comprehensively applies all kinds of knowledge to solve practical problems, which is one of the necessary means to cultivate and improve students' ability to apply what they have learned to analyze and solve problems.
General methods and steps of mathematical modeling
There is no certain pattern in the methods and steps of establishing mathematical model, but an ideal model should reflect all the important characteristics of the system: the reliability and availability of the model. General methods of modeling:
Mechanism analysis: according to the understanding of the characteristics of real objects, analyze their causal relationship and find out the laws that reflect the internal mechanism. The established model usually has clear physical or practical significance.
Test and analysis method: the research object is regarded as a "black box" system, and the internal mechanism cannot be directly sought. By measuring the input and output data of the system, and on this basis, using the statistical analysis method, the model with the best data fitting is selected from a certain type of model according to the predetermined standard. Test analysis method is also called system identification.
Combining these two methods is also a common modeling method, that is, the structure of the model is established through mechanism analysis, and the parameters of the model are determined through system testing.
In the actual process, which method to use for modeling mainly depends on our understanding of the research object and the purpose of modeling. The concrete steps of mechanism analysis and modeling are roughly as follows:
1, the variables and parameters are determined by abstraction, simplification and assumption in practical problems;
2. Establish a mathematical model, solve it mathematically and numerically, and determine the parameters; 3. Test the mathematical model with the measured data of practical problems.
4, in line with the reality, delivered to use, can produce economic and social benefits; Unrealistic, re-model.
Classification of mathematical models:
1. According to the research methods and mathematical characteristics of the object, it can be divided into elementary model, geometric model, optimization model, differential equation model, graph theory model, logic model, stability model and statistical model.
2. According to the actual field (or discipline) of the research object, it is divided into population model, traffic model, environment model, ecological model, physiological model, urban planning model, water resource model, pollution model, economic model and social model.
Mathematical modeling needs rich mathematical knowledge ... >; & gt
Question 7: What is mathematical modeling? I won't elaborate on the detailed definition of online mathematical modeling, but say something else ~ ~
The main development direction of mathematics is the combination of mathematics and calculation. Combining mathematical algorithms with computer technology to solve practical problems, you will learn by going up one flight of stairs from computer in the future, because your algorithm is more advanced than theirs. This is the main survey of the mathematical modeling competition.
The gold content of mathematical model competition is also relatively high. You won the ranking in the competition, which can completely prove that you have certain strength ~ ~
You don't need to worry about your poor math scores. I have participated in several competitions, and my knowledge of mathematics is not very advanced. High school mathematics can solve many problems, mainly optimization and simulation. I think it is more important to test one's thinking ability. Besides, you only need one specialty in math, computer and writing ~ ~
If you take part in the competition, you will really gain a lot and learn a lot of new knowledge. In this way, you can know that what you have learned can be used in your life, thus stimulating your interest in learning. Really, I strongly recommend you to learn some ~ ~ to participate in the competition ~ ~ If you have any other questions to ask, hehe ~ ~ I have done modeling and writing, and my programming is similar ~ ~
Question 8: What is a mathematical model? The history of mathematical models can be traced back to the time when humans began to use numbers. With the application of numbers, various mathematical models are constantly established to solve various practical problems. A mathematical model can be established to establish an optimal scheme for daily activities such as college students' comprehensive quality evaluation, teachers' work performance evaluation, and visiting friends and purchasing. The establishment of mathematical model is a necessary bridge to communicate the relationship between practical problems and mathematical tools. At present, there is no uniform and accurate definition of mathematical model, because different angles can have different definitions. But we can give the following definition. Mathematical model is an abstract and simplified structure of a part of the real world, which has special uses. Specifically, a mathematical model is an equation or inequality established by mathematical symbols such as letters and numbers for a certain purpose, and it is a mathematical structural expression that describes the characteristics of objective things and their internal relations, such as charts, images, block diagrams, etc.