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REU Site: Interdisciplinary Mathematics Research

REU Site: Interdisciplinary Mathematics Research
REU 网站:跨学科数学研究
批准号:
1156701
负责人:
Andrew Beveridge
金额:
$24.41万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2012
资助国家:
美国
项目状态:
已结题
起止时间:
2012-06-01 至 2015-08-31

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中文摘要
翻译
这个REU是一个为期六周的跨学科数学研究密集计划。该计划将在明尼苏达大学(UMN)的数学及其应用研究所(IMA)举行。每年夏天,12名学生(9名NSF支持,3名非NSF资金支持)将以4人为一组工作。学生将运用数学思想来解决其他学科中出现的问题。每个团队将有三名教师:一名问题提出者(PP),一名教师顾问(FA)和一名研究导师(RM)。PP将设置研究问题,将是来自生物统计学,计算机科学或电气,生物医学或化学工程等领域的UMN研究人员。FA将指导研究工作,将成为Macalester数学,统计和计算机科学系的成员。RM每天将与小组进行两小时的咨询,他将是IMA的博士后研究员,具有相关领域的专业知识。潜在的主题包括激光系统的动力学,机器人追踪算法,液体薄膜的不稳定性,建模几何学,细胞粘附动力学和在线推荐系统。 学生将使用数学建模,微分方程,图论,离散几何,概率和统计等技术。该计划旨在让学生体验第一手的,做研究的兴奋是相关的另一个领域。对于来自另一门学科的问题,学生需要学习如何以数学方式制定特定领域的问题。学生将与三位具有不同研究经验的教师密切合作。除了进行数学研究,学生也将沉浸在其他学科的语言,他们将吸收跨学科沟通的能力。该计划将发展领域知识,数学技能和理论论证。在夏季结束时,每个团队将制作一份书面报告,一份口头报告和一张海报。每个小组将提交他们的海报联合数学会议,或另一个适当的国家会议。 有关REU计划的更多信息,请访问IMA网站:http://www.ima.umn.edu/
英文摘要
This REU is an intensive six-week program on Research in Interdisciplinary Mathematics. The program will be held at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota (UMN). Each summer, 12 students (9 NSF supported, 3 supported with non-NSF funds) will work in groups of 4. Students will apply mathematical ideas to problems arising in other disciplines. Three faculty members will be associated with each team: a Problem Poser (PP), a Faculty Advisor (FA) and a Research Mentor (RM). The PP, who will set the research question, will be a UMN researcher from a field such as biostatistics, computer science, or electrical, biomedical or chemical engineering. The FA, who will guide the research effort, will be a member of the Macalester Department of Mathematics, Statistics and Computer Science. The RM, who will consult with the group for two hours per day, will be a post-doctoral fellow at the IMA with relevant domain expertise. Potential topics include dynamics of laser systems, robotics pursuit algorithms, instability of thin liquid films, modeling orthodontics, cell adhesion dynamics, and on-line recommender systems. Students will employ techniques drawn from mathematical modeling, differential equations, graph theory, discrete geometry, probability and statistics.The program is designed to allow the students to experience, first hand, the excitement of doing research that is relevant to another field. With problems coming from another discipline, the students will need to learn how to formulate domain-specific questions in mathematical ways. Students will work closely with three different faculty members with diverse research experience. In addition to performing mathematical research, students will also be immersed in the language of the other disciplines, and they will assimilate the ability to communicate across disciplines. The program will develop domain knowledge, mathematical skills and expository argumentation. By the end of the summer, each team will produce a written report, an oral presentation, and a poster. Each group will submit their poster to the Joint Mathematics Meetings, or another appropriate national conference. Additional information about the REU program can be found on the IMA website: http://www.ima.umn.edu/
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