RTG: Research Training in Applied Mathematics

伦斯勒理工学院的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、材料的光学性质、海洋学和燃烧等问题。这一努力的基本组成部分将是将新兴的研究方法引入课程，并与数学以外的研究人员进行更密切的互动。这将丰富学生和博士后的教育和专业经验，这将使他们成为强大的研究人员，能够研究科学和工程中新出现的现实世界问题。除了吸引更多的学生进入数学研究生学习，目标也是鼓励和促进数学科学学生和博士后，使他们成功地实现他们的职业目标。在这个过程中，首席研究人员将开发一个模式项目，其中包括整合研究、与研究相关的交流、指导、无缝过渡和广泛的教育经验。这一努力将包括创新的招聘和留住部分，以及对该计划的仔细管理和评估。伦斯勒理工学院应用数学研究培训计划的核心是指导学生和博士后参与跨学科研究团队。该小组提供了一个有指导的研究环境，旨在促进和发展创造力、发明、科学沟通技能以及专业领导力。该计划还将显著扩大参与者的教育和专业经验，因为他们将在其他学术、工业和政府实验室设施中定期与科学家和工程师互动，包括理论和实验。将开展的活动将接触到广泛的受众，并将研究、指导和广泛的教育经验结合起来。具体的例子有应用数学日、迷你课程和迷你研讨会。这一努力将包括创新的课程改革，这些课程将提供有指导的过渡，既将增加对数学研究生院感兴趣并为之做好准备的学生的数量，也将为研究生和博士后在学术界或行业的职业生涯做好准备。

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.