RTG: Research Training in Applied Mathematics

RTG：应用数学研究培训

• 批准号: 1344962
• 负责人: Mark Holmes
• 金额: $ 200万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-01 至 2022-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1344962&HistoricalAwards=false
• 关键词: RTG; Research; Training; Applied; Mathematics

The training program in applied mathematics at the Rensselaer Polytechnic Institute is centered on large multi-scale nonlinear systems and the mathematical and numerical methods needed to analyze them. Areas of application include problems from mathematical biology, optical properties of materials, oceanography, and combustion. Essential components of this effort will be the introduction of emerging research methods into the curriculum and a much closer interaction with researchers outside mathematics. This will enrich the educational and professional experiences of students and postdocs, and this will make them strong researchers who are able to work on emerging real-world problems in science and engineering. In addition to attracting more students into graduate study in mathematics, the goal is to also encourage and advance mathematical science students and postdocs so they successfully achieve their career goals. In the process the principal investigators will develop a model program that involves integrating research, research-linked communication, mentoring, seamless transitions, and broad educational experiences. Included in this effort will be innovative recruitment and retention components, as well as careful management and assessment of the program. The core of the research training program in Applied Mathematics at the Rensselaer Polytechnic Institute is mentored participation of students and postdocs in an interdisciplinary research team. The group provides a mentored research environment that is designed so that creativity, invention, scientific communication skills, as well as professional leadership, are promoted and developed. The program will also broaden significantly the educational and professional experiences of the participants as they will regularly interact with scientists and engineers, both theoretical and experimental, at other academic, industrial and government laboratory facilities. The activities that will be developed will reach a wide audience and combine research, mentoring and broad education experiences. Specific examples are Applied Math Days, the mini-courses, and mini-symposia. Included in this effort will be innovative curricular changes that will provide mentored transitions that will both increase the number of students interested in, and prepared for, graduate school in mathematics and which will also prepare graduate students and postdoctoral associates for careers in academia or industry.

Rensselaer理工学院应用数学培训计划以大型多尺度非线性系统以及分析它们所需的数学和数值方法为中心。 应用领域包括数学生物学，材料的光学特性，海洋学和燃烧的问题。 这项工作的基本组成部分将是将新兴的研究方法引入课程中，并与数学以外的研究人员进行更紧密的互动。 这将丰富学生和博士后的教育和专业经验，这将使他们能够在科学和工程领域进行现实世界中的现实问题。 除了吸引更多的学生进入数学研究生学习外，目标还包括鼓励和推进数学科学专业的学生和博士后，以便他们成功实现自己的职业目标。 在此过程中，首席研究人员将制定一个模型计划，涉及整合研究，研究链接的沟通，指导，无缝过渡和广泛的教育经验。这项工作中包括创新的招聘和保留组件，以及对计划的仔细管理和评估。 Rensselaer理工学院应用数学研究培训计划的核心是学生和博士后参与跨学科研究团队的参与。 该小组提供了设计的指导研究环境，从而促进和开发了创造力，发明，科学沟通技巧以及专业领导。 该计划还将在其他学术，工业和政府实验室设施上与参与者定期与理论和实验性的科学家和工程师进行互动，从而大大扩大参与者的教育和专业经验。将开发的活动将吸引广泛的受众，并结合研究，指导和广泛的教育经验。 具体的例子是应用数学日，迷你轮廓和迷你群岛。这项工作中包括创新的课程变化，这些变化将提供指导的过渡，这既可以增加数学研究生院的学生人数，又可以为研究生和博士后员工做好学术或行业职业的准备。