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

REU项目“大凤凰城地区的应用数学和计算建模”旨在为来自两年制院校和四年制文理学院的数学天才本科生提供暑期研究体验，否则他们不会参与应用数学和计算建模方面的实用、前沿研究。该方案由两个组成部分组成-为马里科帕县社区学院学区的学生提供为期两周的准备模块，随后为所有参与者提供为期八周的研究体验。预备模块将让学生接触典型社区大学课程中没有涵盖的数学主题，包括一系列有趣的“真实世界”问题和数值计算入门，然后学生将在研究期间使用这些问题。在为期两周的课程模块之后，学生们将以3-4人为一小组，研究导师提出的问题，这些问题涉及研究小组之间有趣的重叠领域。参与课程的学生将学习应用数学概念和数值工具来模拟空间和时间相关的动态过程。他们还将参加丰富活动，包括关于STEM机会和职业服务的相关研究研讨会和讲习班。REU计划的总体目标是为受限的社区学院和文科学院的学生扩大研究机会；吸引社区学院的学生进入文凭课程；指导学生申请奖学金和研究生院；并建立一个支持网络，在整个本科课程中帮助学生。为了实现这些目标，该课程旨在为数学和科学专业的本科生提供机会，让他们在跨学科的问题上成为团队的一部分；阅读期刊文章以快速获得新学科的一些背景知识；使用计算机模拟作为发现工具来分析开放式问题；以及在项目结束时和(可选的)适当的研究会议上介绍他们的工作。还鼓励学生继续与导师远程合作，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；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)的数学模型有关的问题。学生将由各自领域经验丰富的教师指导。通过接触社区大学，该项目将挖掘来自代表性不足的少数群体的不同人才，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性和/或数学科学中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智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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 science.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.