Rensselaer Graduate Student Mathematical Modeling Camp

该提案描述了研究生数学建模（GSMM）营，一个为期一周的研讨会将在伦斯勒理工学院举行，其目的是研究生教育和职业发展，旨在解决现代科学问题。 在数学科学的研究已成为越来越多的跨学科需要在数学和理解能力的深度和沟通的各种领域以外的数学。 GSMM夏令营旨在促进广泛的解决问题的技能，包括数学建模和分析，科学计算和解决方案的批判性评估。 营地的活动围绕着一系列由受邀教师和行业导师提出的问题。 这些问题本质上是高度跨学科的，受到工业应用中出现的真实的问题的启发。 这些问题的工作将由研究生团队完成，每个团队都有一位受邀导师的指导，因此科学交流是这项工作的重要组成部分。 通过这种方式，GSMM夏令营将使研究生接触到当前科学感兴趣的现实问题，并在传统学术环境之外提供宝贵的教育和职业提升体验。 因此，GSMM营的主要目标是提高参与研究生解决问题和科学交流的技能，并使研究生接触当前科学兴趣和跨学科研究潜在领域的广泛真实的问题。在现有的工业数学问题（MPI）研讨会的前一周。 该计划将协调新的GSMM营地的活动和解决问题的经验与长期运行的MPI研讨会。 每年约有24名研究生和4名特邀导师参加夏令营，这些参与者也将被邀请参加MPI研讨会。 该营，以及随后的研讨会，将促进数学的深度和理解能力，并在各种科学和工程领域进行沟通，包括，例如，纳米和生物技术，微电子和信息技术，流体动力学和传热。 因此，营地研讨会的组合将提供一个宝贵的经验，这将对参与研究生的跨学科研究工作产生重大影响，并在同一时间有助于促进未来的学术研究人员和科学家之间的联系和合作在美国产业。

This proposal describes a Graduate Student Mathematical Modeling (GSMM) Camp, a one-week workshop to be held at Rensselaer Polytechnic Institute and whose aim is graduate student education and career development directed towards modern scientific problem solving. Research in the Mathematical Sciences has become increasingly interdisciplinary requiring both depth in mathematics and the ability to understand and communicate across a variety of areas outside of mathematics. The GSMM Camp is designed to promote a broad range of problem-solving skills, including mathematical modeling and analysis, scientific computation, and critical assessment of solutions. The activities of the Camp are centered around a set of problems presented by invited faculty and industry mentors. These problems are to be highly interdisciplinary in nature, inspired by real problems that arise in industrial applications. The work on the problems is to be done by graduate student teams, each with the guidance of an invited mentor, so that scientific communication is an important and integral component of the work. In this way, the GSMM Camp will expose graduate students to real-world problems of current scientific interest and provide a valuable educational and career-enhancing experience outside the traditional academic setting. Accordingly, the main objectives of the GSMM Camp are to advance the problem-solving and scientific communication skills of the participating graduate students and to expose graduate students to a broad range of real problems of current scientific interest and potential areas for interdisciplinary research.The proposal requests funds to hold three GSMM Camps, to be run annually, beginning in June 2004, during the week preceding the existing Mathematical Problems in Industry (MPI) Workshop. The plan is to coordinate the activities and problem-solving experience of the new GSMM Camp with those of the long-running MPI Workshop. Approximately 24 graduate students and 4 invited mentors will attend the Camp each year, and these participants will be invited to attend the MPI Workshop as well. The Camp, and the Workshop to follow, will promote both depth in mathematics and the ability to understand and communicate across a variety of areas of science and engineering, including, for example, nano and biotechnology, microelectronics and information technology, and fluid dynamics and heat transfer. As a result, the Camp-Workshop combination will provide a valuable experience that will have a strong impact on the interdisciplinary research efforts of the participating graduate students, and at the same time help promote connections and collaborations between future academic researchers and scientists in U.S. industries.