CSUMS: Computational Science Training in the Mathematical Sciences at Rensselaer

在这个项目中，本科生团队正在进行包含数学和计算两个方面的实质性研究项目。为了让学生为他们的研究体验做好准备，伦斯勒理工学院(RPI)的PI团队提供了一系列的教育内容。其中包括一门新课程--“应用与计算数学研究”，以及一门作为“顶石式”体验的专题课程。还在开展其他活动，以培养和支持每一组学生作为一个群体。例如，为了使学生能够对i)计算科学和数学的当代研究，以及ii)一些相关的方法和工具获得广泛的视角，项目团队正在建立一个计算数学的跨学科研讨会，由来自大学、国家实验室和工业的知名计算科学家向高级本科生发表的说明性演讲组成。通过他们的研究和课程的结合，学生对应用数学和计算数学的研究领域有了深入而广泛的了解。该项目还包括RPI和Howard University之间的重要合作伙伴关系，支持来自Howard的两名学生每年在RPI居住一个春季学期(免学费)和一个夏季，作为本科生队列的一部分。霍华德大学的教师导师与RPI的同事一起监督秋季研究项目的继续。该项目的智力价值在于本科生对研究项目的指导参与。该计划的组织和组成部分提供了一个促进和发展创造力、发明和科学交流技能的环境。参与者的教育和专业经验也通过与来自其他学术、工业和政府实验室设施的科学家和工程师的定期互动而得到加强，无论是理论上的还是实验上的。该项目更广泛的影响体现在与霍华德大学的合作以及学生群体的多样性增加上。但更重要的是，这一合作关系提供了一个机会，让在两所大学拥有相似研究兴趣的教师之间培养更长期的合作，这构成了继续本科生研究体验的基础。此外，新的课程和系列研讨会也可作为其他机构可采用或适应的模式。这样的课程变化提供了有指导的过渡，增加了对数学研究生院感兴趣并为之做好准备的学生数量。该项目得到了MPS数学科学部、MPS多学科活动办公室和EHR本科生教育部的支持。

In this project teams of undergraduates are undertaking substantive research projects that contain both mathematical and computational aspects. To prepare the students for their research experiences, the PI team at Rennselaer Polytechnic Institute (RPI) is offering a sequence of educational components. These include both a new course, "Research in Applied and Computational Mathematics," and a special topics course that serves as a "capstone-like" experience. Additional activities are also being implemented to develop and then sustain each group of students as a cohort. For example, to enable students to gain a broad perspective of i) contemporary research in computational science and mathematics, and ii) some of the associated methods and tools, the project team is instituting an interdisciplinary seminar in computational mathematics, consisting of expository talks accessible to advanced undergraduate students given by prominent computational scientists from universities, national laboratories, and industry. Through the combination of their research and coursework students gain a deep and broad understanding of a research area in applied and computational mathematics. The project also features a significant partnership between RPI and Howard University that supports two students from Howard to be in residence at RPI annually for a spring term (tuition waived) and summer as part of the undergraduate cohort. Faculty mentors at Howard join with RPI colleagues to oversee the continuation of the research projects in the fall term.The intellectual merit of the project lies in the mentored participation of undergraduates in a research project. The organization and components of the program provide an environment in which creativity, invention, and scientific communication skills are promoted and developed. The educational and professional experiences of the participants are also enhanced through regular interaction with scientists and engineers, both theoretical and experimental, from other academic, industrial and government laboratory facilities. The broader impacts of the project are found in the partnership with Howard University and the increased diversity of the student cohort. But more importantly the partnership offers the opportunity to nurture longer term collaborations among faculty with similar research interests at both institutions that form the basis for continued undergraduate student research experiences. Additionally, the new courses and seminar series also serve as models that other institutions may adopt or adapt. Such curricular changes provide mentored transitions that increase the number of students interested in, and prepared for, graduate school in mathematics. The project is supported by the MPS Division of Mathematical Sciences, the MPS Office of Multidisciplinary Activities, and the EHR Division of Undergraduate Education.