REU Site: Nebraska REU in Applied Math

REU 站点：内布拉斯加州 REU 应用数学

• 批准号: 1263132
• 负责人: Richard Rebarber
• 金额: $ 28.53万
• 依托单位: University of Nebraska-Lincoln
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-02-15 至 2016-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1263132&HistoricalAwards=false
• 关键词: REU; Site; Nebraska; Applied; Math

This grant funds the Nebraska REU in Applied Mathematics, held at the University of Nebraska in Lincoln, Nebraska, and run by the Department of Mathematics. The PIs will offer projects during the summers of 2013, 2014 and 2015, and each project will last for eight weeks. Most of the projects are interdisciplinary as well as applied, and many incorporate computer exploration in order to gain insight into mathematical problems. There is an emphasis on mathematical biology, and the site will offer projects in herbivore-plant interactions, population movement along a river, and dynamics in recurrent neural networks. There will also be projects in differential equations, including discrete fractional calculus on time scales, nonlocal models for elasticity and diffusion, and finite element schemes for wave equations. REU students work in two teams of five undergraduates each, along with one or two faculty mentors and one graduate student mentor. Each group works together on one or more problems with a common theme. The main goal is to give the students a complete research experience, with attention given to defining good problems, solving problems and (in some projects) giving rigorous proofs, writing mathematics, and presenting work with a talk and a poster. This is achieved by using a structure carefully designed to make use of the strengths of talented undergraduates while compensating for their relative inexperience and limited background. The students meet with their mentors almost every weekday, and spend significant additional time with their graduate student mentors. Over the course of the eight weeks, the projects will gradually transition from a focus on preparation to an exclusive focus on research to a focus on preparing results for dissemination. Research, educational, and social activities will combine to cultivate an environment that emphasizes interaction and collaboration. The students document their work as a written report in professional mathematics style as results are produced. In the final week of the Site, the project teams devote the bulk of their energy to preparation of results for dissemination, which includes a group talk presented to the larger University of Nebraska-Lincoln mathematics community and a poster intended for presentation at the Joint Mathematics Meetings the following January. REU projects result in one or more conference presentations, and many also produce papers published in undergraduate or professional journals.

该赠款资助内布拉斯加州REU应用数学，在内布拉斯加州林肯的内布拉斯加大学举行，并由数学系运行。 PI将在2013年、2014年和2015年夏季提供项目，每个项目将持续8周。 大多数项目是跨学科的，以及应用，许多纳入计算机探索，以深入了解数学问题。 重点是数学生物学，该网站将提供食草动物与植物的相互作用，人口沿着河流的运动和循环神经网络的动力学项目。 也将有微分方程的项目，包括离散分数阶微积分的时间尺度，弹性和扩散的非局部模型，以及波动方程的有限元方案。REU学生分为两个团队，每个团队由五名本科生组成，沿着有一名或两名教师导师和一名研究生导师。每个小组一起研究一个或多个具有共同主题的问题。 主要目标是给学生一个完整的研究经验，注意定义好的问题，解决问题和（在某些项目中）给出严格的证明，写数学，并提出工作与谈话和海报。 这是通过使用精心设计的结构来实现的，以利用有才华的本科生的优势，同时弥补他们相对缺乏经验和有限的背景。 学生们几乎每个工作日都会与他们的导师见面，并与他们的研究生导师一起度过大量额外的时间。在这八个星期的时间里，这些项目将逐渐从侧重于准备工作过渡到侧重于研究工作，再过渡到侧重于准备成果以供传播。 研究、教育和社会活动将联合收割机结合起来，培养一个强调互动和协作的环境。 学生将他们的工作记录为专业数学风格的书面报告，作为结果产生。 在网站的最后一周，项目团队投入了大量的精力来准备结果的传播，其中包括一个小组讨论提出了更大的内布拉斯加大学-林肯数学社区和一个海报打算在联合数学会议上介绍明年1月。 REU项目会产生一个或多个会议演讲，许多项目还会产生在本科或专业期刊上发表的论文。