What is Mathematic Modeling?

1- 数据建模是指用数学方法分析特定实际问题. 实际上, 由于几乎所有的理工问题和部分的社会科学问题都需要建立数量化模型或理论模型, 数学建模就是对一般性研究方法的训练.

2- 数据建模的问题都是针对具体学科的, 如"三维MRI数据的切面"(MCM1998),"交通流的指挥调度"(MCM2001),"机票预售策略"(MCM2002), 但是参加竞赛并不需要专业背景知识,也不需要深入的数学知识. 数学建模的目的是数学应用,而不是数学本身的研究. 大学本科的数学知识已足够.

3- 数据建模的主要训练能力不仅仅是数学方面, 成功与失败的关键也不完全是数学问题, 核心问题主要是(依重要性排列)
1) 快速分析一个问题, 知道如何利用互联网, 图书馆和人际关系去收集有关信息, 知道如何过滤这些信息, 知道如何在别人的模型基础上进行改进.
2) 合理的分工, 三人小组和教练的密切配合. 不自以为是,听不进去别人意见.
3) 数学工具, 特别是Matlab, mathematica的掌握
4) 表达能力, 知道如何写论文.

4- 主要有两个数学竞赛: 中国的全国大学生数学建模竞赛 CUMCM(http://csiam.edu.cn/mcm/)和美国的数学建模竞赛MCM(http://www.comap.com/undergraduate/contests/) CUMCM在每年9月, MCM在每年3月.

部分相关网址:
 

浙江大学数学实践基地	http://www.css.zju.edu.cn/mmb/
数模天地	http://www.wxuli.edu.cn/bumen/lixuey/jianmo/wangye2/index2.htm
数海--云嫣小屋:	http://vip.6to23.com/yunyan8/
数学建模之国防科大站:	http://www.shumo.com/
FangQ'sMathPage:	http://engineering.dartmouth.edu/~fangq/MATH/mindex.htm
数学建模2000	http://free.prohosting.com/~sxjm/
MCM介绍	http://www.informs.org/Edu/MCM/MCM.html
西北大学数学系	http://www.nwu.edu.cn/page/jigoushezhi/department/maths/html/jianmo.html
SMMAS数模试题集锦	http://bbs.uestc.edu.cn/cgi-bin//bbs0an?path=/groups/GROUP_1/MATH/ABC/MCM
电子科大数模学社	http://engineering.dartmouth.edu/~fangq/smmas/index.html
电子科技大学数模学社讨论区	http://bbs.uestc.edu.cn/cgi-bin//bbsdoc?board=MATH
Mathmodels.org	http://www.mathmodels.org/

Experience

My experience in the Mathematic Contest of Modeling of China

• As student
  • 1996 with Gao Jiye, Jin Chun, (advisor: Huang Youdu). Optimized Fishing Strategy. the Second Class National Award 1996.9;
  • 1997 with Li Sicheng, Li Qingsong, (advisor: Huang Youdu). Optimized Design of Parts Parameters. the First Class Anhui Province Award 1997.9;
• 　As Advisor
  • 1998 Xie Jiansheng Yang Youqing Cheng Xuelin Bao Jie. Optimum investment Strategy. the Second Class National Award 1998.9;
  • 1999 Zhang Jing, Ye Shunbao, Zheng Zhaoquan. Optimized Design of Distribution of Drilled Well. , 1999.9
  • 2000 Zhang Jing, Ye Shunbao, Zheng Zhaoquan. Classification of DNA Sequence. the Second Class Anhui Province Award 2000.9.
    You Xiaoquan, Zhang Aimei, Yang Jin, Classification of DNA Sequence. the Second Class National Award 2000.9;
    
• As Fan
  • 2001 3-D reconstruction of bloodvessel 2001.9;
    
  • 2002 Mathematics in lottery 2002.9.20;

My experience in the Mathematic Contest of Modeling of USA

• As student
  • 1998 with Li Sicheng, Li Qingsong,(advisor: Huang Youdu). Projection Method with Coordinate Rotate and Interpolation of MRI Scanner. Honorable Mention. 1998.2  [The implementation can be found in ViSC]
• 　 As Advisor
  • 1999 Xie Jiansheng, Yang Youqing, Cheng Xuelin. Analysis of Deep Impact. Mathematical Contest In Modeling, Meritorious.1999.2

  

  • 2000 Zhang Jing, Ye Shunbao, Zheng Zhaoquan., Allotment of Frequency In Honey Cell Mobile Telephone. 2000.2
  • 2001 You Xiaoquan, Zhang Aimei, Yang Jin, Escaping a Hurricane's Wrath 2001.2
    
• As Fan
  • 2002 Airline Overbooking, 2002.2
     

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Notes

2002-02-11: Notes / 随想


李尚志（中国科技大学）:数学建模是怎么回事？

Matlab programming for Mathematic Modeling