Collaborative Research: REU Site: Applied Mathematics and Computational Modeling in the Greater Phoenix Area

合作研究：REU 站点：大凤凰城地区的应用数学和计算建模

• 批准号: 1757573
• 负责人: Aaron Jesse
• 金额: $ 9.68万
• 依托单位: Maricopa County Community College District
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-05-01 至 2024-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1757573&HistoricalAwards=false
• 关键词: Collaborative; Research; REU; Site; Applied

The REU program "Applied Mathematics and Computational Modeling in the Greater Phoenix Area" is aimed at providing summer research experiences to mathematically talented undergraduate students from 2-year institutions and 4-year liberal arts colleges who wouldn't otherwise participate in practical, cutting-edge research in applied mathematics and computational modeling. The program consists of two integral components --- a two-week preparatory module for students from the Maricopa County Community College District, followed by an eight-week research experience for all participants. The preparatory module will expose students to mathematical topics that are not covered in a typical community college curriculum, including a mix of interesting "real world" problems and an introduction to numerical computations, which the students will then use during the research period. Following the two-week course module, students will work in small groups of 3-4 on problems suggested by mentors, in areas of interesting overlap across research groups. Participating students will learn applied mathematical concepts and numerical tools that model space- and time-dependent dynamical processes. They will also be exposed to enrichment activities including relevant research seminars and workshops on STEM opportunities and career services. The overall goal of the REU program is to expand research opportunities for place-bound community college and liberal arts college students; engage community college students to matriculate into Baccalaureate programs; guide students in scholarship and graduate school applications; and establish a supporting network to assist students throughout their undergraduate programs. To realize these goals, the curriculum is designed to provide opportunities to undergraduate mathematics and science majors to work as part of a team on an interdisciplinary problem; read journal articles to gain some background on a new subject quickly; analyze open-ended problems using computer simulation as a discovery tool; and present a talk on their work at the end of the program and (optionally) at an appropriate research conference. Students are also encouraged to continue collaboration with mentors remotely, leading to publications in archival journals. The summer research will address problems related to weather prediction, atmospheric dynamics, aviation hazard analyses and forecasting; image processing and Fourier analysis; network dynamics and topology; and mathematical models of cancer (especially brain and prostate cancer). Students will be supervised by experienced faculty in their respective fields. By reaching out to community colleges, the program will tap into diverse talents from underrepresented minority groups and increase their research participation in mathematics and STEM fields. Special efforts will be made to recruit students who are first-generation college students as well as students who are female and/or members of underrepresented groups in the mathematical sciences. This site is supported by the Department of Defense in partnership with the NSF REU program.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

REU计划“大凤凰城地区的应用数学和计算建模”旨在为来自2年制院校和4年制文理学院的数学天才本科生提供暑期研究经验，否则他们不会参与应用数学和计算建模的实用，前沿研究。该计划包括两个组成部分-预备模块将让学生接触到典型的社区大学课程中没有涉及的数学主题，包括有趣的“真实的世界”问题和数值计算的介绍，然后学生将在研究期间使用。在为期两周的课程模块之后，学生将以3-4人的小组形式研究导师提出的问题，这些问题在研究小组之间存在有趣的重叠。参与的学生将学习应用数学概念和数值工具，模拟空间和时间相关的动态过程。他们还将接触到丰富的活动，包括有关STEM机会和职业服务的相关研究研讨会和讲习班。REU计划的总体目标是扩大地方社区学院和文理学院学生的研究机会;让社区学院学生进入学士学位课程;指导学生申请奖学金和研究生院;并建立一个支持网络，以帮助学生完成整个本科课程。为了实现这些目标，该课程旨在为本科数学和科学专业的学生提供机会，作为跨学科问题团队的一部分工作;阅读期刊文章，快速获得新主题的一些背景知识;使用计算机模拟作为发现工具分析开放式问题;并在程序结束时和（可选）在适当的研究会议上讨论他们的工作。还鼓励学生继续与远程导师合作，导致在档案期刊上发表文章。夏季研究将解决与天气预报、大气动力学、航空危险分析和预报有关的问题;图像处理和傅立叶分析;网络动力学和拓扑学;以及癌症（特别是脑癌和前列腺癌）的数学模型。学生将由各自领域经验丰富的教师监督。通过接触社区大学，该计划将从代表性不足的少数群体中挖掘多样化的人才，并增加他们在数学和STEM领域的研究参与。将特别努力招收第一代大学生以及女生和/或数学学科代表性不足群体的成员。该网站由国防部与NSF REU计划合作支持。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。