Rensselaer Graduate Student Mathematical Modeling Camp

该提案描述了一个研究生数学建模（GSMM）夏令营，这是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。数学科学的研究已经变得越来越跨学科，既需要数学的深度，也需要理解和交流数学以外的各种领域的能力。GSMM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，以及解决方案的关键评估。夏令营的活动围绕着邀请教师和行业导师提出的一系列问题展开。这些问题本质上是高度跨学科的，灵感来自工业应用中出现的实际问题。研究问题的工作由研究生团队完成，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兴趣的现实世界问题，并在传统学术环境之外提供宝贵的教育和职业提升经验。因此，GSMM营的主要目标是提高参与研究生解决问题和科学沟通的技能，并使研究生接触到当前科学兴趣和跨学科研究潜在领域的广泛实际问题。该提案要求在现有的工业数学问题（MPI）研讨会之前的一周内，从2004年6月开始，每年举办三次GSMM夏令营。计划是将新的GSMM营地的活动和解决问题的经验与长期运行的MPI讲习班的活动和经验进行协调。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。夏令营和随后的研讨会将促进数学的深度，以及理解和交流各种科学和工程领域的能力，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，Camp-Workshop的结合将提供宝贵的经验，这将对参与的研究生的跨学科研究工作产生强大的影响，同时有助于促进美国工业界未来学术研究人员和科学家之间的联系和合作。

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.