专业非专业均可拿捏的美国高中数学建模大赛HiMCM

      有这样一项比赛

      适合所有数学专业或非专业的高中生！
      赛程不紧，含金量高，准备时间充分！
      为了计划申请海外名校和国内985名校的你！
      你会数学建模或计算机编程或论文表达即可！

1  赛事简介

      美国高中数学建模竞赛（High School Mathematical Contest in Modeling,简称HiMCM）是美国数学及应⽤联合会（COMAP）主办的⼀项国际性的数学竞赛活动。面向全球高中生开放，是******影响力******的高中生数学竞赛之一。

2  比赛时间、地点和费用

      比赛时间：每年11月初至11月中旬（美国东部时间）
      报名时间：每年9月开始
      报名费用：$100/团队
      比赛地点：竞赛无需提交纸质论文，所以参赛的地点灵活。在任何场地，只要在规定时间内，以数学原理解决比赛问题，并将解决方案以论文的形式表达出来，结束之前通过电子邮件提交论文即可。
      结果公布时间：次年1月评审结束，2月公布比赛结果并发证书

3  适合学生

      1、9-12年级计划申请海外名校或国内985名校的学生；
      2、数学或英语******，有创新力、写作能力和团队精神；
      3、未来关注数学、计算机、工业、经济、环境资源等专业；
      4、每支团队必须来自同一所学校，配备一位指导老师。

4  获奖证书认证等级

      Outstanding杰出奖 
      获奖队伍数量不超过队伍总数的1%

      Finalist国际特等奖
      获奖队伍数量不超过队伍总数的7%

      Meritorious国际一等奖
      获奖队伍数量不超过队伍总数的26%

      Honorable Mention荣誉奖
      获奖队伍数量不超过队伍总数的34%

      Successful Participant成功参与奖
      成功完成建模论文的队伍

5  比赛具体过程

      1、美国东部时间2022年11月2日（周三）下午2：00或之前，学生团队开始在比赛网站上注册登录。
      2、美国东部时间2022年11月2日（周三）下午3：00，组委会在比赛网站上发布比赛问题，学生团队即进入赛程。学生不可向大会要求提供材料外的其他任何材料。
      3、学生团队需在比赛期间内完成所有工作，到美国东部时间2022年11月15日（周二）晚上8：00结束比赛。
      4、学生团队***终的解决方案论文需要以email的形式，在当天晚上9：00前发送给组委会。
      5、比赛期间，学生团队必须独立选择比赛题目和进行实质性的分析，不可借助指导老师或团队外人员的力量。

      

      关于选择比赛题目：MiMCM高中生团队从2个建模问题中二选一。所有问题都涉及为开放式的解决并且不会只有一个解决方案。

      团队在提供解决方案时，可以使用：互联网、图书馆资源、软件、电脑，计算器等工具。在形成解决方案文书时，应注重清晰度、分析过程和解决方案的设计问题。

      所有***终获得“杰出方案”的正式论文都会被发表在Mathmodels.org中。

6  参加数学建模比赛的意义

      对于入门者和初试者，你肯定要问，参加数学建模比赛，对我的学习和升学有哪些帮助？我数学基础不好，也可以参加吗？

①

      首先，这是一项团队赛，每个人都可以发挥其擅长的技能，不一定是数学技能。参加数学建模比赛，***优先提高的不是你的数学能力，而是团队合作能力。数学建模通常是不超过4人参赛，团队成员的分工和协调性，能决定***终能拿的奖项。

②

      数学建模
      1-2人完成，要求数学基础好，分析能力强，懂建模。

      计算机编程
      1人完成，通常也参与建模过程，要求数据处理能力强，思路清晰，心思缜密，擅长编程。

      论文总结
      1人完成，论文好的伙伴可以把解决方案提高一个档次，要求逻辑性强，文字驾驭能力强，收集文献和数据能力强。

7  2022年真题参考

#Problem A: The Need for Bees
 (and not just for honey)#

      Honeybees, along with a few other key animals, are critical to human existence on our planet. Along with honey production, these insects provide the vital role of pollination of many trees and plants that provide food for our survival. In 2007, the term Colony Collapse Disorder (CCD) was created to describe the decline of honeybee populations around the world. Bee decline can be attributed to factors such as viruses, pesticides, predators, habitat destruction, and environmental conditions.

  Some information to consider (but you may find other helpful information online):

      · Honeybees can travel up to 20 km, but typically stay within 6 km of their hive. 

      · A typical honeybee hive contains between 20,000 and 80,000 honeybees.

      · A single honeybee can visit approximately 2,000 flowers or more in a single day.

      · Because of the high workload during summertime, most honeybees work themselves to death, resulting in a shorter lifespan.

      · During autumn and wintertime, honeybees may live a bit longer (four to six months).

      · A honeybee’s level of activity, pollen consumption, and protein abundance impacts its lifespan.

Requirements

      1、Develop a model to determine the population of a honeybee colony over time.

      2、Conduct sensitivity analysis on your model to determine which factors (e.g., lifespans, egg laying rates, fertilized/unfertilized egg ratios, or other factors) have the greatest impact on honeybee colony size.

      3、 Model and predict how many honeybee hives you will need to support pollination of a 20-acre (81,000 square meters) parcel of land containing crops that benefit from pollination.

      4、 Create a non-technical, one-page blog or infographic for a website that provides the information you developed.

Your PDF solution of no more than 25 total pages should include: 

      · One-page Summary Sheet.

      · Table of Contents.

      · Your complete solution.

      · One-page blog or infographic.

      · References list.

      Note: The HiMCM Contest has a 25-page limit to your PDF solution submission. All aspects of your submission count toward the 25-page limit (Summary Sheet, Table of Contents, Reference List, and any Appendices).

#Problem B: CO2 and Global Warming#

      Prior to the Industrial Revolution, carbon dioxide (CO2) in the atmosphere was consistently around 280 parts per million (ppm). The concentration of CO2 in the atmosphere reached 377.7 ppm in March of 2004, resulting in the largest 10-year average increase up to that time. According to scientists from National Oceanographic and Atmospheric Administration (NOAA) and Scripps Institution of Oceanography (SIO) the monthly mean CO2 concentration level peaked at 421 ppm in May 2022. An Organisation for Economic Co-Operations and Development (OECD) report predicts a CO2 level of 685 ppm by 2050.

      The editors of Scientific Today magazine have asked your team to address these claims of the current reported and future predictions of CO2 concentration levels. They provided two data sets (CO2 Data Set 1 & Temps Data Set 2) to assist in your research.

Requirements

1. Do you agree with CO2 level claims? Use CO2 Data Set 1 to analyze CO2 changes. 

      a. Do you agree that the March 2004 increase of CO2 resulted in a larger increase than observed over any previous 10-year period? Why or why not?

      b. Fit various (more than one) mathematical models to the data to describe past, and predict future, concentration levels of CO2 in the atmosphere.

      c. Use each of your models to predict the CO2 concentrations in the atmosphere in the year 2100. Do any of your models agree with claims and predictions that the CO2 concentration level will reach 685 ppm by 2050? If not by 2050, when do your models predict the concentration of CO2 reaching 685 ppm?

      d. Which model do you consider most accurate? Why?

2. What’s the relationship between temperature and CO2? Many scientists think that there is a relationship between warming global temperatures and the concentration of CO2 in the atmosphere.

      Use your work in part 1 and Temps Data Set 2 to assist in your comparison of land-ocean temperatures and CO2 concentration levels.

      a. Build a model to predict future land-ocean temperatures changes. When does your model predict the average land-ocean temperature will change by 1.25°C, 1.50°C, and 2°C compared to the base period of 1951-1980?

      b. Build a model to analyze the relationship (if any) between CO2 concentrations and landocean temperatures since 1959. Explain the relationship or justify that there is no relationship.

      c. Extend your model from part 2.b. into the future. How far into the future is your model reliable? What concerns, if any, do you have with your model’s ability to predict future CO2 concentration levels and/or land-ocean temperatures?

3. Prepare a non-technical article 

      (1 page maximum) for Scientific Today to explain in your team’s findings and possible recommendations for the future.

Your PDF solution of no more than 25 total pages should include: 

      · One-page Summary Sheet.

      · Table of Contents.

      · Your complete solution.

      · One-page blog or infographic.

      · References list.

      Note: The HiMCM Contest has a 25-page limit to your PDF solution submission. All aspects of your submission count toward the 25-page limit (Summary Sheet, Table of Contents, Reference List, and any Appendices).

8  世宗外语，祝你一臂之力

      世宗外语，专注于帮助学生量身打造个性化课程，提升学生学术和软背景实力。为学生和家长提供一系列深度指导。

      拥有丰富的教育赛事资源与各领域专家级指导老师，为每个学员提供精准细致的培训和海外学术指导，保证各项目服务质量。让学生从一系列课外活动中锻炼思维、提升专业知识、培养自主学习、调查研究、团队协作、沟通交流、领导力与社会责任感等综合素质，从而进一步认识自己，改变自己，并获得成长与成功。