REU Site: Discrete and Continuous Analysis in Appalachia

计算机科学与数学系在费尔蒙州立大学将举办为期八周的REU网站在2022年，2023年和2024年的夏天。该网站的一个主要目标是提高来自阿巴拉契亚地区的本科生的准备，以追求研究生院和STEM为重点的职业。该计划强调数学代表性不足的学生群体的参与，特别是来自农村地区的学生，第一代大学生和社会经济地位低下的学生。REU提供时间尺度上的微积分的研究经验，这是数学的一个分支，它统一和扩展了常见的微积分和相关理论，并在数学生物学，工程，金融和统计等方面应用。学生提高他们的研究能力，以及他们的技术，口头和书面沟通技巧，并获得超越本科学位的教育和就业机会的理解。参与者需要在年度本地本科生研究研讨会上展示他们的工作，并鼓励和协助准备同行评审的出版物。每年夏天，十名本科生，其中大约一半来自阿巴拉契亚地区的学校，被招募参加为期八周的REU网站。该计划的第一周致力于建立参与者的数学和编程先决条件，并制定研究项目，将时间尺度上的微积分与控制理论，特殊函数理论和概率论联系起来。学生每周向顾问提供进度报告，并在周五向所有参与者展示他们的工作。专业发展的机会提供了如何申请研究生院，在小组环境中有效地工作的战略，在软件系统的科学文件的准备，并给予技术演示。参与者还通过每周的杰出演讲者系列接触到数学的其他研究领域。该项目由数学科学部和激励竞争性研究的既定计划（EPSCoR）共同资助。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。

The Department of Computer Science and Mathematics at Fairmont State University will host an eight-week REU Site during the summers of 2022, 2023, and 2024. A primary goal of the site is to increase the preparedness of undergraduate students from the Appalachian region to pursue graduate school and STEM-focused careers. The program emphasizes the participation of students from groups that are underrepresented in mathematics, especially students from rural areas, first-generation college students, and students from a low socioeconomic status. The REU provides research experiences in calculus on time scales, a branch of mathematics that unifies and extends the common calculus and related theories, and has applications in mathematical biology, engineering, finance, and statistics, among others. Students improve their research abilities as well as their technical, oral, and written communication skills and acquire an understanding of educational and career opportunities available beyond an undergraduate degree. Participants are required to present their work based on the program projects at an annual local undergraduate research symposium and encouraged and assisted in preparing peer-reviewed publications.Each summer, ten undergraduate students, with roughly half from schools in the Appalachian region, are recruited to attend an eight-week long REU site. The first week of the program is dedicated to building the mathematical and programming prerequisites of participants, and to the formulation of research projects connecting calculus on time scales with control theory, special functions theory, and probability theory. Students provide reports of progress to advisors each week and present their work to all participants on Fridays. Professional development opportunities are offered on how to apply for graduate school, on strategies for effectively working in a group environment, on software systems for scientific document preparation, and on giving technical presentations. Participants are also exposed to other research areas in mathematics through a weekly Distinguished Speakers Series. This project is jointly funded by the Division of Mathematical Sciences and the Established Program to Stimulate Competitive Research (EPSCoR).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.