Vertical Integration Initiative of Research and Education For Mathematical Scientists

Rensselaer的VIGRE活动的重点是针对当代科学问题解决的数学训练。这包括学科深度，以及接触和参与学术和非学术环境下的跨学科研究项目。在这个过程中，学生和博士后参与了各种不同的研究和教育活动。这包括学习新材料的学术工作，产生新成果的研究，交流新技术和成果的演讲，以及课程开发和课堂教学的卓越。垂直结构小组的基本整合活动是研究和交流研讨会。该计划的主要目标是丰富学生和博士后的教育经验，促进伦斯勒的研究和教育活动，并鼓励和推进数学科学学生和博士后的学术生涯。这为当今科学必不可少的东西奠定了基础，即知识的广度和跨越传统学科界限进行有效沟通的能力。我们的项目将本科生、研究生和博士后的职业发展经验与K-12外展联系在一起。我们的优势在于跨学科活动，包括强大的工业联系以及国家认可的创新教育活动。我们的产品将训练有素的专业人士准备成功的学术生涯。伦斯勒计划的影响将是培养具有工业问题解决经验的数学科学家，对应用领域有深刻的理解，具有分析，建模和数值计算技能，具有创造性地产生解决应用问题所需的新数学的能力，具有创新的教育和教学经验，并具有参与学术应用数学课程建设的能力。该奖项的资金由数学科学司和MPS理事会的多学科活动办公室提供。

AbstractRPIThe focus of Rensselaer's VIGRE activities is mathematical training directed towards contemporary scientific problem solving. This includes disciplinary depth as well as exposure to, and participation in, interdisciplinary research programs in both academic and non-academic settings. In the process, students and postdoctoral fellows are involved in a broad variety of different research and educational activities. This includes scholarly work to learn new material, research to generate new results, talks to communicate new techniques and results, and curriculum development and excellence in classroom teaching. The fundamental integrating activity for the vertically structured groups are research and communication seminars. The main goal of the program is the enrichment of the educational experience of students and postdocs, to promote the research and educational activities at Rensselaer, and to encourage and advance mathematical science students and postdocs toward academic careers. This provides a foundation for what is essential in science today, that is, breadth of knowledge and the ability to communicate effectively across traditional disciplinary boundaries. Our program links undergraduate, graduate and postdoc career enhancing experiences together with K-12 outreach. Our strengths are in interdisciplinary activities including strong industrial connections together with nationally recognized innovative educational activities. Our product will be well-trained professionals ready for successful academic careers. The impact of the Rensselaer program will be in producing mathematical scientists with industrial problem solving experience, with a strong understanding of applications areas, with analysis, modeling and numerical computation skills, with the ability to creatively produce new mathematics needed to solve applied problems, with innovative education and teaching experiences, and with the ability to participate in the building of academic applied mathematics programs. Funding for this award is provided by the Division of Mathematical Sciences and the MPS Directorate's Office of Multidisciplinary Activities.