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REU Site: Applied Mathematics Research Program for Undergraduates

REU 网站：本科生应用数学研究计划

基本信息

批准号：
2050971
负责人：
Svetlana Roudenko
金额：
$ 32.4万
依托单位：
Florida International University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2021
资助国家：
美国
起止时间：
2021-04-01 至 2024-03-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2050971&HistoricalAwards=false
关键词：
REU Site Applied Mathematics Research

项目摘要

The AMRPU @ FIU program focuses on introducing undergraduate students to research in applied mathematics and provides opportunities for the students to explore various topics and models outside of the standard curriculum. Students will have instruction and mentoring that will help them pursue collaborative research projects closely aligned with their own interests. With this applied modeling approach, the students can quickly get a deeper understanding of the mathematics than is possible in an ordinary classroom environment. In addition, group research projects will familiarize students with communication skills necessary for effective teamwork and will provide opportunities to write scientific, potentially publishable, papers and practice public presentations of their work. Moreover, the program is designed to facilitate access to research in applied mathematics for a very diverse group of undergraduates, including under-represented minority and female students in mathematics and science, and to increase the number and proficiency of students entering the workforce. Through this multifaceted and inclusive approach, the students will gain valuable experiences that will enhance their success in graduate school and careers.Applied Mathematics provides a rich and challenging field of study with practical applications. A wide variety of subjects across science and technology are advanced through mathematical modeling and analysis. Epidemiology, ecology, biomedicine, fluid dynamics, reaction-diffusion processes, and aerodynamics are just a few of the many examples. Each summer this REU program will have a different set of topics for training and research but will keep the common theme of interconnections among the various disciplines of mathematics as well as modeling and applications. The areas of focus include Differential Equations and Dynamical Systems, Fourier Analysis, Linear Algebra, and Probability and Statistics. Connections among these areas (as well as others) will provide the participants a broad view of the fields of mathematics and their utility in all areas of science and technology, a perspective too often missed in traditional mathematics instruction. Similarly, exposure to the common threads and variety of ideas and approaches from a diverse group of undergraduates, graduate students, and faculty mentors of all backgrounds, ethnicities, ancestry, and gender will help promote the progress of the scientific enterprise.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.

AMRPU @ FIU计划的重点是向本科生介绍应用数学研究，并为学生提供探索标准课程之外的各种主题和模型的机会。学生将有指导和指导，这将有助于他们追求与自己的利益密切一致的合作研究项目。通过这种应用建模方法，学生可以快速获得比普通课堂环境更深入的数学理解。此外，小组研究项目将使学生熟悉有效团队合作所需的沟通技巧，并将提供机会撰写科学的，潜在的，论文和实践他们的工作公开演示。此外，该计划旨在促进获得应用数学的研究，为一个非常多样化的本科生群体，包括代表性不足的少数民族和女性学生在数学和科学，并增加进入劳动力市场的学生的数量和熟练程度。通过这种多方面和包容性的方法，学生将获得宝贵的经验，这将提高他们在研究生院和职业生涯的成功。应用数学提供了一个丰富而具有挑战性的研究领域与实际应用。科学和技术领域的各种学科都是通过数学建模和分析来推进的。流行病学、生态学、生物医学、流体动力学、反应扩散过程和空气动力学只是许多例子中的几个。每年夏天，这个REU计划将有一套不同的培训和研究主题，但将保持数学以及建模和应用的各个学科之间的相互联系的共同主题。重点领域包括微分方程和动力系统，傅立叶分析，线性代数，概率和统计。这些领域（以及其他领域）之间的联系将为参与者提供数学领域及其在所有科学和技术领域中的实用性的广阔视野，这是传统数学教学中经常错过的观点。同样，接触来自不同背景、种族、血统和性别的本科生、研究生和教师导师的共同思路和各种想法和方法将有助于促进科学事业的进步。该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估来支持。