高手整理北美数学建模注意事项
数学建模注意事项
数学建模注意事项论文写作：一、写好数模答卷的重要性1. 评定参赛队的成绩好坏、高低，获奖级别，数模答卷，是唯一依据。
2. 答卷是竞赛活动的成绩结晶的书面形式。
3. 写好答卷的训练，是科技写作的一种基本训练。
二、答卷的基本内容，需要重视的问题1．评阅原则假设的合理性，建模的创造性，结果的合理性，表述的清晰程度。
2．答卷的文章结构1）摘要。
2）问题的叙述，问题的分析，背景的分析等。
3）模型的假设，符号说明（表）。
4）模型的建立（问题分析，公式推导，基本模型，最终或简化模型等）。
5）模型的求解计算方法设计或选择；算法设计或选择，算法思想依据，步骤及实现，计算框图；所采用的软件名称；引用或建立必要的数学命题和定理；求解方案及流程。
6）结果表示、分析与检验，误差分析，模型检验。
7）模型评价，特点，优缺点，改进方法，推广。
8）参考文献。
9）附录、计算框图、详细图表。
3. 要重视的问题1）摘要。
包括：a. 模型的数学归类（在数学上属于什么类型）；b. 建模的思想（思路）；c. 算法思想（求解思路）；d. 建模特点（模型优点，建模思想或方法，算法特点，结果检验，灵敏度分析，模型检验……）；e. 主要结果（数值结果，结论；回答题目所问的全部“问题”）。
▲注意表述：准确、简明、条理清晰、合乎语法、字体工整漂亮；打印最好，但要求符合文章格式。
务必认真校对。
2）问题重述。
3）模型假设。
根据全国组委会确定的评阅原则，基本假设的合理性很重要。
a. 根据题目中条件作出假设b. 根据题目中要求作出假设关键性假设不能缺；假设要切合题意。
4）模型的建立。
a. 基本模型：ⅰ）首先要有数学模型：数学公式、方案等；ⅱ）基本模型，要求完整，正确，简明；b. 简化模型：ⅰ）要明确说明简化思想，依据等；ⅱ）简化后模型，尽可能完整给出；c. 模型要实用，有效，以解决问题有效为原则。
数学建模面临的、要解决的是实际问题，不追求数学上的高（级）、深（刻）、难（度大）。
数学建模的几点建议
2.分析和解决问题的能力
1）有关题目的介绍： ）有关题目的介绍 通常有2种类型的题： (1)科技类题目：要用到力学分析，能量分析， 图论等。工程性较强，一般是以前被研究过，而且较 成熟的题目（有时国内的研究很少）。 (2)社科类题目：一般要用到统计的知识，整体 上看一般是最优化的问题。涉及到对一些人文方面东 西的量化。模型的建立要准确，否则容易脱离主线。
3.关于论文
∗ 1）有较多的时间写论文。 ∗ 2）注意论文的语言，要让评委老师看懂。 ∗ 3）至少一名成员有排版的经验。 ∗ 4）图表多一些。
∗ 推荐网站：
∗ ∗ ∗ ∗ 数学中国 ：/ 中国数学建模网：/home/ 图书馆资源 Google to Find Downloadable PDF
2.知识准备 知识准备
2.1最好看一篇以前的获奖论文，对数学建模有大体上的 了解。 2.2可以听一下，尚寿亭老师的数学建模的课。 2.3 也可以看一下相关书籍，了解一下最优化的思想、统 计的知识等。可以不做深入的学习。
3. 能熟练的使用 能熟练的使用MATLAB
3.1会编写M文件，会画图（这很重要） 3.2我认为MATLAB语言对编程者没有过多的约束，可以容 易的反应出自己设计的数学较好 的选择。
数学建模的几点建议
——仅供参考
1.数学建模的准备
1组队 组队
1. 1 和自己了解的同学组队，各组员最好水平相 当。 1.2 要有提前量。 1.3 每一个组员都要有自己的想法，会提出自己 对问题的看法。 1.4比赛前的分工不用很明确，一般拿到题目后， 根据题目内容分配任务。一般一个人写论文一 部分。
2）几点体会 ） 分析问题要准确，最好用半天以上的时间分析所 有题目。有时问题中就是有矛盾的，如果不能把握住题 目的意思，最好不要做。表面看起来复杂的题目，可能 实质的东西很简单。 把问题中，自己能做好的部分做好就可以了，切 忌力求做得完美，面面俱到。 会搜索相关论文，不要单凭自己写。 3) 提一下迭代的解题思想 迭代的解题思想，计算机最擅长的是迭代， 迭代的解题思想 几个迭代的式子可以得到漂亮的结果。这里是以前建模 的一些结果。
数学建模注意事项
数学建模注意事项数学建模是将实际问题抽象为数学模型，并利用数学方法进行求解和分析的过程。
在进行数学建模时，需要注意以下几个方面的问题。
要明确问题的背景和目标。
在开始建模之前，需要对问题进行全面的了解和分析，明确问题的背景和目标。
了解问题的背景有助于我们确定模型的适用范围和限制条件，而了解问题的目标则有助于我们确定模型的评价指标和优化目标。
要选择适当的数学模型。
数学模型是对实际问题的抽象和简化，它可以帮助我们理清问题的关键因素和相互关系。
在选择数学模型时，需要根据问题的特点和要求，选择适合的数学方法和技术。
常用的数学模型包括线性模型、非线性模型、优化模型、概率模型等。
然后，要进行合理的假设和参数设定。
在建立数学模型时，常常需要进行一些假设和参数设定，以简化问题和提高求解效率。
但是，这些假设和参数设定必须合理，并能够在一定程度上反映实际情况。
如果假设和参数设定过于理想化或不符合实际情况，可能会导致模型的失真和求解结果的不准确。
接下来，要进行有效的模型求解和分析。
在建立数学模型之后，需要进行模型的求解和分析。
这通常涉及到数学计算和算法实现。
在进行模型求解和分析时，要选择合适的数值方法和计算工具，以确保求解结果的准确性和可靠性。
同时，还需要对求解结果进行合理的解释和分析，以便得出有关问题的结论和决策。
要进行模型的验证和优化。
在完成数学模型的求解和分析之后，还需要对模型进行验证和优化。
模型的验证是指将模型的预测结果与实际观测数据进行比较，以评估模型的准确性和可靠性。
如果模型的预测结果与实际观测数据吻合较好，说明模型具有一定的预测能力；反之，则需要对模型进行修正和改进。
模型的优化是指通过调整模型的参数和结构，以改善模型的性能和效果。
优化的目标是使模型的预测结果更加准确和可靠。
数学建模是一项复杂而又有趣的工作。
在进行数学建模时，我们需要注意问题的背景和目标，选择适当的数学模型，进行合理的假设和参数设定，进行有效的模型求解和分析，以及进行模型的验证和优化。
美国数学建模参加注意事项
2011年美国数学建模竞赛参赛、培训和注册事项（1）参赛事项2011年美国数模竞赛将于北京时间2011年2月11日（初九）上午9点开始，至2月15日上午8点结束（必须提前一小时以上发送答卷电子邮件至solutions@，所以我们特别规定在上午8时结束）。
要求所有参赛学生参赛前都仔细阅读竞赛的规则和指南。
我校学生（包括公费和自费）参赛地点在石牌校区数学楼三楼实验室。
竞赛期间，可以在实验室过夜，但是晚上10点至早上7点期间不要出入数学楼，以免妨碍值班人员休息。
可以用数学楼三楼实验室的打印复印一体机打印所有参赛队（包括公费和自费）的答卷。
每一队要印答卷两份、印摘要页两份、印控制页一份。
其中，一份答卷上加一份摘要，钉一起；另一份答卷上加另一份摘要，再加一份控制页，钉一起。
答卷的每一页（不包含摘要和控制页）必须以页眉方式显示控制号和页码，形如：Team # 321 Page 6 of 13答卷以及摘要页不可以透露任何参赛队员和教练的个人信息。
发送电邮提交电子版，需各队自己在2月15日上午8点之前使用自己的任何电子邮箱，发送至solutions@ 。
电邮统一以COMAP 加控制号为标题，例如COMAP 2222 。
必须保证发送电邮的电子版与交给章老师的电子版和纸质版是一致的，也就是说，发送电邮以后，论文不可以做任何修改。
2月15日早上8~9点，所有参赛队都要按时前来石牌校区数学楼三楼交纸质版和电子版答卷，由章老师集中一起寄往美国。
由于需自行解决住宿问题，所以整队来自大学城的同学可自行在大学城参赛，于2月15日早晨前来石牌校区数学楼三楼交纸质版和电子版答卷。
竞赛开始后的当天，所有参赛队要登录美国赛网站，填写三名队员的信息并选择题号，完成下载摘要页、控制页的步骤。
但是，控制页和摘要页的word文档统一由章老师制作并提供给各队。
竞赛结束时，所有参赛学生务必在各队的控制页上签名和填写地址（都用英文）。
竞赛结束后的当天，所有参赛队要登录美国赛网站，完成其余的步骤。
数学建模注意事项
数学建模美国赛注意事项：注册比赛1. 最后注册时间：2012.2.09。
2.注册应该由带队老师完成：带队老师要想注册多个队，必须先注册一个队伍，注册网址为：/undergraduate/contests/mcm/register.php。
每队注册金额为100美元，需要信用卡在线支付。
如果想要一份详细的分析，则需要多交100美元。
在线注册流程如下图，需要的信息有：带队老师姓名，学校，学校是几年制的，学院，地址栏，城市，国家，电话，传真，导师家庭电话，密码。
!3.注册比赛整体流程介绍：流程依次为：比赛开始前：注册比赛，选择队友。
比赛开始后：看网站上公布的题目，选择题目，准备作答，提交最后结果。
比赛结束前：将电子版的答卷通过邮箱发送。
比赛结束后：准备答卷打印，邮寄打印好的答卷，确认答卷已经被组委会收到。
4. 只接受Mastercard或者Visa卡，注册后会拿到控制号，注册成功后，将不会发邮件确认，注册号是注册成功的唯一依据。
需要打印出来。
在比赛前的任何时候都可以修改注册时候的队伍信息，修改所需的账号和密码是注册时所用的邮箱账号和密码。
在比赛的时候，需要到网站上确认队伍的信息是否正确，打印control和summary sheet，这些在准备邮寄包裹的时候都是必要的。
5. 通过visa或者mastercard支付，并收到控制号6.登陆advisor login注册多个队伍，多次注册的账号和密码是第一次注册的账号和密码，为多队注册的网址为：/undergraduate/contests/mcm/login.php（注意：一个导师只能注册最多两个队伍）。
答案的要求答卷要求：1.全部用英文写作。
2.电子版只能包含文字材料和相关图表、数据。
全部都得是纸面的。
所有电脑文件、代码和光盘将不被接受。
3.在每一页的页眉上必须有每个队伍的控制号和页码。
4.严禁把队员、指导老师和学校的名字印在纸质版和电子版的答案中。
也就是说，只有控制号能作为唯一的身份标识。
数学建模（美赛）须知
数学建模（美赛）须知MCM: The Mathematical Contest in ModelingOnline RegistrationYou are at step 4 of 6 steps:1. Enter Advisor Email Address2. Enter Advisor Information3. Confirm Advisor Information4.Agree to Terms and Contest Instructions5. Process Payment6. Receive Team Control NumberYou must complete all 6 steps in order to register.Please read the following terms and instructions, and indicate that you agree to abide by them by entering your email address below.Contest Rules, Registration and Instructions(All rules and instructions apply to both ICM and MCM contests, except where otherwisenoted.)To participate in a contest, each team must be sponsored by a faculty advisor from its institution.Team Advisors: Please read these instructions carefully. It is your responsibility to make sure that teams are correctly registered and that all of the following steps required for participation in the contest are completed:Please print a copy of these contest instructions for reference before, during, and after the contest. Click here for the printer friendly version.I. BEFORE THE CONTEST BEGINS:A. RegistrationB. Choose your team membersII. AFTER THE CONTEST BEGINS:A. View the contest problems via the contest web siteB. Choose a problemC. Teams prepare solutionsD. Print Summary Sheet and Control SheetIII. BEFORE THE CONTEST ENDS:A. Send electronic copy of Solution Paper by emailIV. WHEN THE CONTEST ENDS:A. Prepare Solution PacketB. Mail Solution PacketV. AFTER THE CONTEST IS OVER:A. Confirm that your team’s solution was receivedB. Check contest resultsC. CertificatesD. PrizesIMPORTANT NOTES:COMAP is the final arbiter of all rules and policies, and may disqualify or refuse to register any team that, in its sole discretion, does not follow these contest regulations and procedures.If a team is caught violating the rules, the faculty advisor will not be permitted to advise another team for one year, and the advisor’s in stitution will be put on probation for one year.If a team from the same institution is caught violating the rules a second time, then that school will not be allowed to compete for a period of at least one year.All times given in these instructions are in terms of Eastern Standard Time (EST).(COMAP is located in the U.S. Eastern Time zone.)I. BEFORE THE CONTEST BEGINS:A. RegistrationAll teams must be registered before 2PM EST on Thursday, February 10, 2011. We recommend that all teams complete the registration process well inadvance, since the registration system will not accept any new teamregistrations after the deadline. COMAP will not accept late registrations forMCM/ICM 2011 under any circumstances. NO EXCEPTIONS WILL BEMADE.1.Register your team online via the contest web site: Go to/undergraduate/contests/mcm.a. If you are registering your first team for this year’s contest, click onRegister for 2011 Contest on the left-hand side of the screen.Enter all the required information, including your email address andcontact information.IMPORTANT: Be sure to use a valid and current email address so that we can use it to contact you at any point before, during, and after thecontest, if necessary.b. If you have already re gistered a team for this year’s contest and want toregister a second team, click on Advisor Login, then log in with thesame email address and password that you used when you registeredyour first team. Once you’re logged in, click on Register AnotherTeam near the upper right corner of the page, then follow theinstructions there.Note: An advisor may register no more than two (2) teams. If youalready registered two teams, the Register Another Team link will not appear. The system will not allow you to register more than two teams.c. Although each advisor can register only two teams, there is norestriction on the number of advisors or teams that can register from any particular institution or department.2.Registration FeeA $100 registration fee per team is required.For an additional $100 fee per team, you can receive a Judges Commentary written specifically about your team’s paper.We accept payment with Mastercard or Visa only via our secure web site.We cannot accept other forms of payment. Our secure site will process your credit card payment, so your credit card number is protected. Our system will not store your credit card number after it processes your payment.3.After we receive approval from your financial institution (this takes only afew seconds), the system will issue a control number for your team. Your team is not officially registered until you have received a team controlnumber. Print the page that displays your team controlnumber: It is your only confirmation that your team has been registered. This page also lists the email address and password that you entered when registering;you will need this information to complete the contest procedures.You will NOT receive an email confirmation of your registration.4.If you need to change any of the information (name, address, contactinformation, etc.) that you specified when you registered, you can do so at any point before or during the contest by logging in to the contest web site with the same email address and password that you used when registering (click on the Advisor Login link on the left side of the screen). Once logged in, click on the Edit Advisor or Institution Data link near the upper right corner of the page.5.Check the contest web site regularly for any updated instructions orannouncements about the contest. Except in extreme circumstances,COMAP will not send any confirmation, reminders, or announcements byemail. All communication regarding the contest will be via the contest website.6.You will return to the contest web site during the contest to enter andconfirm information about your team, and to print out your team’s ControlSheet and Summary Sheets, which you will use whenpreparing your team’ssolution packet. Details on these steps follow in the instructions below.B. Choose your team members:1.You must choose your team members before the contest begins at 8PMEST on Thursday February 10, 2011. Once the contest begins you maynot add or change any team members (you may, however, remove a teammember, if he or she decides not to participate).2.Each team may consist of a maximum of three students.3.Each student may participate on only one team.4.Team members must be enrolled in school at the time of the contest, butthey need not be full-time students. T eam members must be enrolled at thesame school as the advisor and other team members.5.II. AFTER THE CONTEST BEGINS:A. View the contest problems via the contest web site:Teams can view the contest problems via the contest web site when the contest begins at 8PM EST on Thursday February 10, 2011:1.The contest problems will become available precisely at 8PM EST onThursday February 10, 2011; team members can view them by visiting/undergraduate/contests/mcm. No password willbe needed to view the problems; simply go to the contest web site at or after8PM EST on Thursday, February 10, 2010 and you will see a link to viewthe problems.2.If you cannot access our main web site at that time, go to our mirror site at/mcm or click here. If you cannot accesseither site, there may be a problem with your local Internet connection.Contact your local Internet service provider to resolve the issue.B. Choose a problem:Each team must choose one problem according to the following rules: ?MCM teams must choose either Problem A or Problem B; an MCM team may submit a solution to only one of the problems. (MCM teamsshould NOT choose Problem C.)ICM teams must choose Problem C. There is no choice for ICM teams.(ICM teams should NOT choose Problem A or Problem B.)C. Teams prepare solutions:1.Teams may use any inanimate source of data or materials: computers,software, references, web sites, books, etc. ALL SOURCES USED MUST BE CREDITED. Failure to credit a source will result in a team beingdisqualified from the competition.2.Team members may not seek help from or discuss theproblem with theiradvisor or anyone else, except other members of the same team. Input in any form from anyone other than student team members is strictly forbidden.This includes email, telephone contact, and personal conversation,communication via web chat or other question-answer systems, or any other form of communication.3.Partial solutions are acceptable. There is no passing or failing cut-off score,and numerical scores will not be assigned. The MCM/ICM contest judgesare primarily interested in the team’s approach and methods.4.Summary Sheet: The summary is an essential part of your MCM/ICMpaper. The judges place considerable weight on the summary, and winning papers are often distinguished from other papers based on the quality of the summary.To write a good summary, imagine that a reader will choose whether to read the body of the paper based on your summary: Your concise presentation in the summary should inspire a reader to learn about the details of your work.Thus, a summary should clearly describe your approach to the problem and, most prominently, your most important conclusions. Summaries that aremere restatements of the contest problem, or are a cut-and-paste boilerplate from the Introduction are generally considered to be weak.Each Summary Sheet should include:Restatement and clarification of the problem: State in your own words what you are going to do.Explain assumptions and rationale/justification: Emphasize the assumptions that bear on the problem. Clearly list all variables used inyour model.Include your model design and justification for type model used or developed.Describe model testing and sensitivity analysis, including error analysis, etc.Discuss the strengths and weaknesses of your model or approach.5.The judges will evaluate the quality of your writing in the Solution Paper:Conciseness and organization are extremely important.Key statements should present major ideas and results.Present a clarification or restatement of the problem, as appropriate.Present a clear exposition of all variables, assumptions, and hypotheses.Present an analysis of the problem, including the motivation or justification for the model that is used.Include a design of the model.Discuss how the model could be tested, including error analysis and stability (conditioning, sensitivity, etc.).Discuss any apparent strengths or weaknesses in your model or approach.6.Papers must be typed and in English.7.The solution must consist entirely of written text, and possibly figures,charts, or other written material, on paper only. No non-paper supportmaterials such as computer files or disks will be accepted.8.The Solution Paper must display the team control number and thepage number at the top of every page; for example, use the followingpage header on each page:Team # 321 Page 6 of 139.The names of the students, advisor, or institution should NOT appear on anypage of the print solution or electronic solution. The solution should notcontain any identifying information other than the team control number.10.Failure to adhere to any preparation rule is grounds for teamdisqualification.D. Print Summary Sheet and Control Sheet:After the contest begins at 8PM EST on Thursday February 10, 2011, and while the teams are preparing their solutions, the advisor should:1.Login to the contest web site (go to/undergraduate/contests/mcm. Click on Advisor Login, then enter your email address and password).2.Enter the team member names and confirm that each name is spelledcorrectly. This determines how the names will appear on the contestcertificates. COMAP will not make any changes or reprintcertificates for any reason.3.Specify the problem that your team has chosen to solve.4.Print one copy of the Control Sheet.5.Print one copy of the team Summary Sheet.6.III. BEFORE THE CONTEST ENDS:A. Send electronic copy of Solution Paper by email:1.Each team is required to submit an electronic copy of its solution paper byemail to *******************.Any team member or the advisor maysubmit this email.a. Your email MUST be received at COMAP by the submissiondeadline of 8PM EST on February 14, 2011.b. Failure by a team to submit a solution via email by 8PM EST onFebruary 14, 2011 constitutes a violation of the contest rules and willresult in that team’s disqualification.c. No further modifications, enhancements, additions, or improvementsmay be made to the team’s solution paper after this email submission.Each team’s electron ic submission will be cross-checked forconsistency with their paper submission. Any changes to the paperversion will constitute a violation of the contest rules and may result indisqualification.2.In the subject line of your email write: COMAP and your t eam’s controlnumber. For example:Subject: COMAP 2222e your team’s control number as the name of your file attachments.AP will accept only an Adobe PDF or Microsoft Word file of yoursolution. DO NOT include programs or software with your email as theywill not be used in the judging process. Limit one solution per email. Thenames of the students, advisor, or institution should NOT appear onany page of the electronic solution.5.See the rules for submitting two (2) paper copies and CD via mail below.6.IV. WHEN THE CONTEST ENDS:A. Prepare Solution Packet:When the contest ends at 8PM EST on February 14, 2011:1.Each team member must sign the Control Sheet to pledge that he or sheabided by the contest rules and instructions.2.Make two copies of your team’s Solution Paper.3.Staple the Summary Sheet on top of each of the Solution Papers.4.Staple the Control Sheet on top of one of the Solution Papers.5.Enclose an electronic copy (PDF or Word file) of yourteam’s SolutionPaper on a CD-ROM. Programs and software will not be used in the judgingprocess. DO NOT include them on the CD.If you advise more than one team, please include both teams’ files on asingle CD-ROM and label it with contest, year, and both teams’ controlnumbers.Example:Year Contest Control Numbers2011 MCM/ICM 10004, 10005B. Mail Solution Packet:1.Mail your team’s complete Solution Packet to:MCM/ICM CoordinatorCOMAP, Inc.175 Middlesex Turnpike., Suite 3BBedford, MA 01730USAAP must receive your Solution Packet via mail on or before FridayFebruary 25, 2011. It is your responsibility to make sure that your team’sSolution Packet arrives at COMAP by this deadline. Use registered orexpress mail, if necessary, to insure that it arrives at COMAP by FridayFebruary 25, 2011.AP will not accept late solutions under any circumstances.4.If you require confirmation that your paper was received by COMAP, sendthe packet via a carrier that provides package tracking. Due to the number ofpapers received, COMAP can not answer receipt inquiries or emails.5.V. AFTER THE CONTEST IS OVER:A. Confirm that your team’s solution was received:1.You may login to the contest web site using the Advisor Login link toverify that your team’s Solution Packet was received at COMAP. Aftermailing your Solution Packet, please allow several days for us to processyour packet before expecting to see this confirmation.B. Check contest results:1.Judging: Judging will be completed in March and the results will be postedon April 29, 2011. The Solution Papers will be recognized as Unsuccessful,Successful Participant, Honorable Mention, Meritorious, Finalist, orOutstanding Winner.2.We will post the contest results on the web site as soon as they are available,so visit the contest web site regularly to check for updates. It will takeseveral weeks for the judges to evaluate the solutions and for COMAP toprocess the results. Please do NOT call or email COMAP regarding contestresults.C. Certificates:After the results are issued, each successfully participating team will receive a certificate of participation. The certificate will be mailed or emailed to theadvisor at the address used during the registration process. All internationalteams will receive ONLY an electronic (PDF) certificate. Please allow several weeks after the results are posted to the contest web site to receive yourcertificate.D. Prizes:The Institute for Operations Research and the Management Sciences (INFORMS) will designate an Outstanding team from each of the threeproblems as an INFORMS winner.The Society for Industrial and Applied Mathematics (SIAM) will designate one Outstanding team from each problem as a SIAM winner.The Mathematical Association of America (MAA) will designate one Outstanding team from each problem for the MCM as a MAA winner.The Ben Fusaro Award, Typically, among the final MCM papers from which the Outstanding ones are selected is a paper that is especially creativebut contains a flaw that prevents it from attaining the Outstandingdesignation. In accord with Ben’s wishes, the award willrecognize suchteams.If you agree to abide by these terms and instructions, indicate so by entering your email address and clicking on the I AGREE button. If, for any reason, you cannot agree to these terms, click on the I DISAGREE button. If you click on I DISAGREE, the information you have entered will be lost and you will have to start the registration process over again if you decide to register later.Email Address:(Enter the same email address that you entered when you began the registration process。
美赛建模知识点总结
美赛建模知识点总结美赛建模是指利用数学模型和算法，对美赛（Mathematical Contest in Modeling）中的实际问题进行建模和求解的过程。
美赛是全球范围内最具影响力和知名度的数学建模竞赛之一，参赛者需要在规定的时间内解决所提出的实际问题，并撰写完整的模型报告。
在美赛中，建模的过程非常重要，而建模的关键知识点也是参赛者需要掌握的重点之一。
下面将对美赛建模中的关键知识点进行总结。
1. 问题分析在美赛建模中，首先需要对所提出的实际问题进行全面的分析。
这包括了对问题的深入理解，明确问题的目标和约束条件，确定问题的关键变量和影响因素等。
同时还需要对问题的实际背景和应用领域进行了解，从而找到问题的实际意义和解决方法。
2. 数学建模数学建模是美赛中的核心环节，参赛者需要使用数学理论和方法对问题进行建模。
数学建模的关键知识点包括：微积分、线性代数、概率论与数理统计、运筹学、图论等。
参赛者需要根据实际问题的特点，选择合适的建模方法，构建数学模型，推导数学方程，进行数学分析和求解。
3. 计算机编程在美赛建模中，计算机编程是求解问题的重要手段。
参赛者需要熟练掌握一种或多种计算机编程语言，如C/C++、Python、MATLAB等。
计算机编程的知识点包括：数据结构与算法、面向对象程序设计、图形图像处理等。
通过编程实现模型的求解和仿真，对结果进行分析和展示。
4. 模型分析与评价建立数学模型后，需要对模型进行分析和评价。
这包括了对模型的合理性和可靠性进行评估，比较模型预测结果和实际数据的吻合程度，对模型的敏感性和稳定性进行分析。
同时还需要对模型的优缺点进行评价，提出改进和优化建议。
5. 模型报告撰写模型报告是美赛中的重要成果之一，参赛者需要撰写完整的模型报告，包括问题分析、数学模型构建、模型求解和分析、模型评价等内容。
模型报告的撰写需要一定的文献调研和写作技巧，能够清晰、准确地表达模型的思路和解决方法。
数学建模竞赛中的几点注意事项
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区分轻重缓急 快与慢的辨证法，张弛有度 一致性与灵活性
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竞赛中需要注意的几个问题
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提高讨论的有效率 合理分工 分时段的进展目标 以成效论优劣
竞赛中需要注意的几个问题
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态度是实力发挥的保证
追求卓越,锲而不舍 平和心态,冷静思考
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竞赛中需要注意的几个问题
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亮点可体现在建模各个环节中 好的idea是产生亮点的基础 从实际出发是亮点的源泉
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竞赛中需要注意的几个问题
●心中有楷模 ●不断完善模型
●尽力发挥，努力超越
竞赛中需要注意的几个问题
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视为建模的中间环节
尽早开始 规范性 清晰性 可读性
竞赛中需要注意的几个问题
竞赛中需要注意的几个问题
竞赛中的
几点注意事项
国防科技大学
贵阳
2011年3月
吴孟达
竞赛中需要注意的几个问题
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关键词的理解 优化目标 基本考点 难点 关键点(区ห้องสมุดไป่ตู้点)
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竞赛中需要注意的几个问题
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关键点的清晰化 不断选择 (trade off ) 的过程 现实与理想之间的平衡 大局观 建模思路的顺畅展开
竞赛中需要注意的几个问题
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美赛赛题发布网址
美赛赛题将发布于网址/undergraduate/contests/mcm 也会同步发布于镜像网站： /mcm/index.html 或/mcm/index.html 或
/mcm/index.html
！！！参考文献注意（极其重要）
所有引用的资料必须注明出处，如有参赛队未注明引用的内容的出处，将被取消参赛资格。
！！！美赛summary sheet（摘要页）内容
美赛论文摘要页（summary sheet）要含如下内容: 1.再次重述问题—用你自己的话重述你将要解决的问题。
2.对于基本原理以及证明的假设—着重陈述在解决问题中提出的假设，清晰的列出所有在模型中应用到的变量。
3.对于已经用过的或者应用到的模型的构建与证明。
4.模型的测试与灵敏度分析，包括误差分析等。
5.关于模型或求解方法的优缺点讨论。
！！！摘要是获奖的关键（极其重要）
摘要是MCM参赛论文的一个非常重要的部分。
在评卷过程中，摘要占据了相当大的比重，以至于有的时候获奖论文之所以能在众多论文中脱颖而出是因为其高质量的摘要。
好的摘要可以使读者通过摘要就能判断自己是否要通读论文的正文部分。
如此一来，摘要就必须清楚地描述解决问题的方法，显著地表达论文中最重要的结论。
摘要应该能够激发出读者阅读论文详细内容的兴趣。
那些简单重复比赛题目和复制粘贴引言中的样板文件的摘要一般将被认为是没有竞争力的。
美赛选题要求
每队必须按照下面的规定选择一道题目:
MCM的参赛队必须选择赛题A 或 B； MCM的参赛队只要提交两个问题之一的解决方案就可以。
MCM参赛队不得选择赛题C。
而ICM的参赛队必须选择赛题C， ICM 参赛队除了赛题C别无选择，不能选择赛题A或者B。
评委评价论文写作的指标
评委评价论文的写作，看如下几个方面：简明扼要、有组织是极为重要的。
主要的结论必须给出大体的构想及结果。
需适当的简化或重申问题。
需包含分析如何通过调整使得模型付诸于实际应用。
需包括模型的设计方案。
讨论如何进行模型测试，包括误差分析与稳定性（适用条件，灵敏度等）。
讨论模型及求解方法的显著优缺点。
美赛解决方案的页眉
解决方案的每一页的顶部都需要有参赛队的控制编号（即组队号）以及页码。
建议在每页上使用页眉，例如： Team #123456 Page 5 of 8 注意美赛的页码在页眉（而不在页脚）
比赛开始后指导教师待完成事项
特别指明参赛队伍所选择的赛题。
打印控制页（control sheet）。
打印参赛队摘要页（summary sheet）。
纸质档论文装订顺序
纸质档论文是有控制页control sheet的（而电子档论文是没有控制页的，要注意，电子档论文的第1页是摘要页summary sheet），纸质档论文装订顺序是: 纸质档第1页是控制页（control sheet）、第2页是摘要页（summary sheet）、第3页及之后是解决方案（solution paper）
美赛电子档提交
电子档第一页为摘要页（summary sheet）（而不是控制页），命名为参赛控制号，例如123456.pdf（注意改为实际号），电子档作为电子邮件的附件，于北京时间2月5日上午7点前提交组委会（电子邮件主题为COMAP加参赛控制号，例如COMAP 123456，注意改成实际号），组委会邮箱solutions@
刻录光盘及光盘命名
论文电子档（与电子邮件发送的电子档完全相同）刻录于光盘中，光盘正面用黑色记号笔写上: 2013 MCM/ICM 第1个队参赛控制号，第2个队参赛控制号
美赛低级错误注意事项
请注意: 最后提交的论文（包括签名）严禁含中文，上次的小美赛有论文里含中文的情况，属于低级错误
提交美赛论文电子档（包括电子邮件和光盘中的电子档）时注意将word和pdf 均提交
提交美赛论文电子档（包括电子邮件和光盘中的电子档）时, 注意将word和pdf均提交, 提交 word是为了避免转pdf时出现格式变化而被认为是与纸制档不符, 提交pdf是为了避免word公式被评委打开时显示乱码。