Who has an introduction to mathematical modeling? Detailed. .

Mathematical model is a kind of simulation, which is an abstract and concise description of the essential attributes of practical topics with mathematical symbols, mathematical formulas, programs and graphics. It can not only explain some objective phenomena, but also predict the future development law, and also provide an optimal strategy or a better strategy in a sense for controlling the development of a certain phenomenon. Generally speaking, the mathematical model is not a direct copy of the real problem, and its establishment often requires people to observe and analyze the real problem deeply and carefully, and also requires people to use all kinds of mathematical knowledge flexibly and skillfully. This process of abstracting and refining mathematical models from practical problems with applied knowledge is called mathematical modeling.

process

Model preparation

Understand the actual background of the problem, clarify its practical significance, and master all kinds of information of the object. Describe the problem in mathematical language.

Model hypothesis

According to the characteristics of the actual object and the purpose of modeling, the problem is simplified with accurate language and some appropriate assumptions are put forward.

Model structure

On the basis of hypothesis, use appropriate mathematical tools to describe the mathematical relationship between variables and establish the corresponding mathematical structure (try to use simple mathematical tools).

Model solving

Using the obtained data, all parameters of the model are calculated (or approximately calculated).

model analysis

The results are analyzed mathematically.

model testing

The model analysis results are compared with the actual situation to verify the accuracy, rationality and applicability of the model. If the model is in good agreement with the actual situation, the practical significance of the calculation results should be given and explained. If the model is not consistent with the actual situation, you should modify the assumptions and repeat the modeling process again.

Model application

The application pattern varies with the nature of the problem and the purpose of modeling.

Mathematical modeling competition for college students

contemporary undergraduate mathematical contest in modeling

The National Mathematical Modeling Competition for College Students is a mass scientific and technological activity for college students in China jointly sponsored by the Ministry of Education of People's Republic of China (PRC) and the Chinese Society of Industrial and Applied Mathematics. Its purpose is to stimulate students' enthusiasm for learning mathematics, improve their comprehensive ability to use computer technology to build mathematical models and solve practical problems, encourage students to actively participate in extracurricular scientific and technological activities, broaden their knowledge, cultivate their innovative spirit and sense of cooperation, and promote the reform of college mathematics teaching system, teaching content and methods. Competition topics generally come from practical problems that have been properly simplified and handled in engineering technology and management science. Participants do not need to master in-depth professional knowledge in advance, but only need to have studied mathematics courses in ordinary universities. The topic has great flexibility, allowing participants to exert their creative ability. Participants should complete a paper (answer sheet) according to the requirements of the topic, including the hypothesis, establishment and solution of the model, the design and computer realization of the calculation method, the analysis and test of the results and the improvement of the model. Competition awards are based on the rationality of assumptions, the creativity of modeling, the correctness of results and the clarity of text expression. The national unified competition topic, adopts the communication competition way, carries on in the relatively centralized form; The competition is usually held within three days at the end of September each year; College students take part in the competition in groups of three, regardless of major.

Articles of Association of the National Mathematical Modeling Competition for College Students (2008)

Article 1 General Provisions The National Mathematical Modeling Competition for College Students (hereinafter referred to as the Competition) is a mass scientific and technological activity for college students all over the country jointly sponsored by the Higher Education Department of the Ministry of Education and the China Society of Industrial and Applied Mathematics. Its purpose is to stimulate students' enthusiasm for learning mathematics, improve their comprehensive ability to use computer technology to build mathematical models and solve practical problems, encourage students to actively participate in extracurricular scientific and technological activities, broaden their knowledge, cultivate innovative spirit and cooperative consciousness, and promote the reform of college mathematics teaching system, teaching content and methods. Article 2 Competition Content Competition topics generally come from practical problems that have been properly simplified and handled in engineering technology and management science. Participants do not need to master in-depth professional knowledge in advance, but only need to have studied mathematics courses in colleges and universities. The topic has great flexibility, allowing participants to exert their creative ability. Participants should complete a paper (answer sheet) according to the requirements of the topic, including the hypothesis, establishment and solution of the model, the design and computer realization of the calculation method, the analysis and test of the results and the improvement of the model. Competition awards are based on the rationality of assumptions, the creativity of modeling, the correctness of results and the clarity of text expression. Article 3 Competition forms, rules and disciplines. The topic of the national unified competition is relatively concentrated in the form of communication competition. The competition is held once a year, usually within three days around the weekend. 3. College students form teams to participate in the competition, with 3 people in each team (they must belong to the same school), and their majors are not limited. The competition is divided into two groups: undergraduate group and specialist group. Undergraduate students participate in undergraduate group competitions, junior college students participate in specialist group competitions (or participate in undergraduate group competitions), and graduate students are not allowed to participate. Each team may have a lecturer (or teacher group) engaged in pre-competition consultation and organizing competitions. However, during the competition, the contestants must avoid and are not allowed to guide or discuss, otherwise it will be regarded as a violation of discipline. 4. During the competition, the team members can use all kinds of books, computers and software to browse online, but are not allowed to discuss with anyone outside the team (including online discussion). 5. After the competition starts, the competition topics will be published on the designated website for each team to download, and each team will complete the answers within the specified time and hand in the papers on time. 6. Participating universities should instruct relevant functional departments to be responsible for the organization and discipline supervision of the competition to ensure the standardization and fairness of the competition. Article 4 Organizational form: 1. The contest is presided over by the Organizing Committee of the National Mathematical Modeling Competition for College Students (hereinafter referred to as the National Organizing Committee), which is responsible for initiating registration, drafting contest questions, organizing the evaluation and award of national excellent answer sheets, printing award certificates, and holding national award ceremony every year. 2. The competition will be organized by the division. In principle, a province (autonomous region or municipality directly under the Central Government) is regarded as a competition area, and at least 20 teams from 6 universities must participate in each competition area. Adjacent provinces can be merged to form a competition area. Each division shall set up a competition organizing committee (hereinafter referred to as the organizing committee), which shall be responsible for competition publicity, registration, supervision of competition discipline, organization and review of answer sheets, etc. The teams of provincial colleges and universities that have not set up a competition area can directly register for the competition with the National Organizing Committee. 3. Establish an organizational excellence award to commend the organizing committee of the competition area that has made outstanding achievements or made outstanding progress in the competition organization. The main criteria are the number of participating schools and teams, the quantity and quality of test questions, no violation of rules and regulations, the quality of marking work, creative work combined with the specific situation of the competition area and cooperation with the National Organizing Committee. Article 5 incentives 1. The organizing committee of each competition area employs experts to form an evaluation committee to select the first and second prizes in this competition area (the third prize can also be added), and the proportion of winning prizes generally does not exceed one third. Those who complete qualified answers can get a certificate of successful participation. 2. The organizing committee of each division will send the excellent answer sheets of this division to the National Organizing Committee according to the quantity specified by the National Organizing Committee. The National Organizing Committee hired experts to form a national judging committee, and selected the first and second national prizes according to unified standards from the excellent answers sent by each competition area. 3. The first and second prizes of the whole country and each division will be awarded with award certificates. Teams that violate the rules of the competition will be disqualified once they are found, and their results will be invalid. The institution should be warned and informed until the school is disqualified for the next year. The National Organizing Committee will not recognize the award-winning results of the competition areas that violate the provisions of the award-winning work. Article 6 Objection period system 1. Within two weeks from the date of publication of the national (or competition) winners list, any individual or unit may raise an objection, which will be accepted by the National Organizing Committee (or competition organizing Committee). 2. The focus of accepting objections is the behavior that violates the competition rules, including teachers' participation, team members' discussion with others, unfair evaluation, etc. In principle, the appeal of re-evaluating the answer sheet in order to improve the award-winning level will not be accepted. Under special circumstances, it can be audited by the organizing committees of each competition area and reported to the National Organizing Committee for verification. 3. Objections must be made in writing. If an individual raises an objection, his real name, work unit and mailing address (including contact telephone number or email address, etc.). ) and attach its signature; If the unit raises an objection, the name and mailing address of the contact person (including contact telephone number or email address, etc.). ) and build official seal. The National Organizing Committee and the Organizing Committee of each competition area shall keep confidential the individuals or units that raise objections. 4. The school management department that accepts the objection has the responsibility to assist the National Organizing Committee and the organizing committees of each competition area to investigate the objection and put forward suggestions for handling it. The National Organizing Committee or the Organizing Committee of each competition area shall reply to the complainant within two months after the end of the objection period. Article 7 The fund is 1. The school where the team is located pays the registration fee to the organizing Committee of the competition area. 2. The organizing committee of the competition area shall pay a certain amount of funds to the National Organizing Committee. 3. The funds come from education management departments at all levels. 4. Funding from all walks of life. Article 8 The interpretation and revision of the Articles of Association shall be implemented as of 2008, and the right of interpretation and revision belongs to the National Organizing Committee.