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How to get started and participate in mathematical modeling
Source: Zhihu.

I. About Model Contest, Registration and Entry:

This paper briefly introduces several mainstream modeling competitions.

(1) National Mathematical Modeling Competition for College Students: The national competition generally refers to the "Higher Education Society" Cup Mathematical Modeling Competition.

Registration: The registration time of each university may be different. Some universities have to pre-select the school competition first, and start to register in May-June. Please pay attention to the website of the relevant academic affairs office and the website of the School of Mathematics. Registration fee 300 yuan (some schools will refund the registration fee to encourage everyone to participate actively, and maybe the school will give a generous bonus if they win the prize ~ ~). Sign up for teams, with no more than 3 people in each team (so it can also be 2 people or 1 person), and each team must have a mentor. (Matters needing attention about team formation will be discussed in detail later)

Training: Some schools will organize model training in the summer semester. If there is, I suggest you listen to it ~ If there is no training, take a good look at it yourself ~

Competition time: The competition is usually held in the first half of September every year. The competition starts at 8: 00 am on Friday and lasts for three days and three nights until 8: 00 am next Monday. (I'll talk about the allocation of time in detail later)

During the competition: teams can use books and internet materials to help build models during the competition, and they can also consult teachers if they have any questions. In principle, they don't communicate with each other (in principle ...). There are two questions, A and B, which need to be answered. PS: The number of winners of the last two questions AB is the same, so if 7000 and 300 teams choose questions A and B respectively, and there are 20 places in the first prize of the national competition, then the winning proportion of questions A and B is different, but it is up to you to choose the easy one ~ (I will talk about changing the questions later)

Contest submission: submit the paper version to the School of Mathematics, package and compress the papers, data and programs and send them to relevant teachers.

Competition defense: teams that enter the national competition winners list in the first trial need to defend, and the progress of the first trial in each province may be different, some may defend at the end of September, and some may be 10 month. There is a brief introduction of 3-5 minutes at the beginning of the defense, so it is good for each team to choose a glib partner to speak. The main purpose of defense is to verify the truth, so as long as it is done by yourself, there should be no problem. The defense may ask questions about models, software or programs. Of course, it is also possible to fail in the defense. If you fail, you will be demoted.

(2) Mathematical Modeling Competition for American College Students:

Registration: The registration in the United States is a little more complicated than the national competition ... Here I attach the website of official website, and then we will talk about it slowly.

Generally, registration can be started in the second half of the year (I forgot the specific time, about 1 1 month), and the competition → registration.

Contest (here you need to register with the instructor's email, so you need to contact the teacher in advance to make sure that the teacher is willing to guide, and register with the teacher's email, and each teacher can guide at most 2 teams). The registration fee for the US Championship is $65,438+000, which needs to be paid by VISA card or MASTER card. If there are players, of course, it is best. If not, find the omnipotent Taobao ~

Competition time: Around the Spring Festival (this is very tragic and makes many people unable to participate in the competition, but I believe it is worthwhile for those students who have the courage to give up the Spring Festival and devote themselves tirelessly to the modeling competition). The competition lasts for four days and four nights and starts at 9: 00 in the morning.

Paper submission: submit online and send the paper version to the United States.

No shit (defense)!

Certificate issuance: I will download the award-winning certificate (mainland students) online around April, yes, just a PDF. ...

(3) National Statistical Modeling Competition: once every two years (odd years), and the competition form is to submit papers before June 30.

(4) Electric Cup: I'm not familiar with it, sorry.

Besides, what other cups are there, such as Shenzhen Cup and Certification Cup? ......

Two. Benefits of the model contest:

Students of science and engineering should regard winning prizes as playing equipment. You know, when you are about to go abroad for graduate study, it is very useful, very useful, very useful to win a few lines on your resume (say the important things three times). Beauty pageants are quite useful for going abroad. After all, it is still an international competition. The brothers who won the grand prize went to Cambridge University and Stanford University ... Although the special case doesn't mean anything, it's better than nothing ~

Step 3: Teamwork

Modeling is mainly divided into three parts: modeling, programming and thesis. However, if you want to separate them completely, you will find that human resources are idle, so it is recommended that each player focus on about two of them. Therefore, it is suggested that three students from the School of Mathematics should never join a team! ! ! It's a ... no ... relationship if three omnipotent mathematical gods get together. It is easy to find that each team needs at least one math school, but usually there are not so many students in many schools, and students in several schools like to get together ... Students in math schools are good, but in fact, students in math schools do not have so many advantages over students in other schools ... So, in fact, I think students in electrical engineering, software and computer are better. I have made models, compiled programs, written papers and sold them. ...

Four. Time allocation

There are often little brothers and sisters modeling. Do you want to stay up late? Of course, some people can get good grades without staying up late, but most people need to stay up late. My advice to you is to stay up moderately ... for example, sleep for 7-8 hours every day for the first two days and stay up on the third day. Regarding time allocation, modeling usually starts at 8: 00 on Friday morning. I suggest you decide whether to do question A or question B before noon, and see which question has more ideas. Don't pat your head to decide ~ The topic selection is very important! Topic selection is very important! Topic selection is very important! On the one hand, it is the proportion of awards, as I said before; On the other hand, if you don't choose the right one, it will involve changing the topic, which I will talk about later. It is best to decide the topic after lunch, then do the first question in the afternoon and evening, and then start to solve the second question. The next day, Saturday, we need to solve the second problem and try to solve the third problem basically. On the third day, perfect, if there is a fourth problem to be solved. Concentrate on writing the paper at least around 4 pm. Of course, in fact, from the first day of solving the first problem, we should start writing papers and posting data, and whoever has time will write papers. Of course, the time allocation should be based on the progress of different teams. I'm just giving you a reference ~

Verb (short for verb) Change the subject.

Many students would like to change the topic because they didn't choose a good topic on Friday morning and found that they couldn't do it, so they encountered a "topic change crisis". So, you can change the topic, but it is suggested that it should be at least before Saturday morning, otherwise it will be really difficult to finish. ...

Paper template of intransitive verbs

You'd better start with an excellent collection of essays.

For example, try to read the book review of Selected Comments on Mathematical Modeling Papers (2005-20 10).

Mathematical Modeling Series: Comments on Examination Questions and Excellent Papers of the 2005 National Mathematical Modeling Competition for College Students

Looking at the level of other people's papers, I still give a rough paper template:

Title → abstract → model hypothesis → symbol description → model establishment → model solution → model evaluation → simulation test → model promotion → references → appendix.

You can write according to question one, question two and question three respectively.

PS: Summary is the most important! Abstraction is the most important! Abstraction is the most important! The marking teacher and the defense teacher spend most of their time reading the abstract, so it takes at least 2 hours to write that short and unremarkable abstract. ) Model evaluation is very important. Please use data to explain whether your model is good or not. Feedback effect and prediction effect are very important.

Seven. Commonly used software and bibliography

Commonly used software: Matlab, SPSS, Lingo, (SAS, R)

In addition to the above two excellent papers, I also recommend the following books: (I have chosen several books, but there are actually many, but I don't think I can finish reading them)

Matlab: most commonly used, not explained.

SPSS: Used for statistics

Argot: Solving planning problems is relatively simple, so special books are not recommended.

Statistical programming

Recommended bibliography:

Application of MATLAB in Mathematical Modeling (2nd Edition): Book Review.

Try reading SPSS Statistical Analysis from Foundation to Practice (Second Edition) (attached 1 CD) (Luo Yingting)

Mathematical Modeling Algorithms and Applications (attached 1 CD)/Book Review on the Summary of the 12th Five-Year Plan Textbooks in Colleges and Universities (Si Shoukui, Sun Xijing)

I won't recommend Jiang Qiyuan's book. ...

Next, I want to focus on the commonly used algorithms in mathematical models. I should not finish writing today, so I will continue writing next time ~

Eight. algorithm

Let me start the PO algorithm. Only some classical modeling algorithms and programs are introduced here, and some intelligent algorithms will be introduced later. It is also excellent to summarize and review while writing ~