REU Site: DRUMS Directed Research for Undergraduates in Math and Statistics

DRUMS的总体目标是（i）让更多具有不同背景的本科生对数学和统计科学的研究生学位及其与应用和数据科学的互动感兴趣，（ii）提供产生高质量产出的研究机会，包括会议摘要，同行评审期刊手稿和开源计算库。数学和统计学专业的本科生渴望获得现实世界的经验。应用技术，从课程到与其他领域的研究人员合作的挑战性问题，为学生提供信心和对数学和统计概念的更深入理解。与专业发展计划相结合，DRUMS将培养出一支多样化的本科研究人员队伍，他们具有技术和软技能，为攻读STEM领域的研究生课程做好了充分准备。该计划通过为每个团队配备一名研究生导师和培训包容性和有效的导师来加强垂直整合。研究课题集中于数学与统计学的结合，利用不确定性量化方法解决现实问题，以及利用统计数据分析对数学建模进行系统研究，以完善模型并量化不确定性。数学和统计学的配对是很自然的，因为数学是统计学的基础，统计学越来越多地被用来改进数学模型。此外，在这些领域的本科课程中有大量的重叠。因此，合作的障碍很低，让学生接触这些领域的研究将使学生对数据科学的职业生涯有一个广阔的视角。参与的学生将在团队中工作，每个团队有一名教师和一名研究生导师，参与为期10周的研究计划。将鼓励团队提交他们的工作以供出版，并在专业会议上发表。该计划将在春季和学年期间的研究会议补充在线准备，以确保团队产生成熟的工作。DRUMS计划将培养一批在STEM领域攻读研究生课程的多样化学生。该计划的网站是https://drums.wordpress.ncsu.edu/This奖反映了NSF的法定使命，并已被认为值得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的支持。

The overall objectives of DRUMS are to (i) get more undergraduate students with diverse backgrounds interested in graduate degrees in mathematical and statistical sciences and their interactions with applications and data science and (ii) provide research opportunities that generate high-quality outputs, including conference abstracts, peer-reviewed journal manuscripts, and open-source computational libraries. Undergraduate students in math and statistics crave real-world experience. Applying techniques, from coursework to challenging problems in collaboration with researchers from other fields, provides students with confidence and a deeper understanding of mathematical and statistical concepts. Paired with a professional development plan, DRUMS will produce a diverse cadre of undergraduate researchers with technical and soft skills well-prepared to pursue graduate programs in STEM fields. This program enhances vertical integration by embedding each team with a graduate student mentor and training inclusive and effective mentors. The work will be disseminated via the DRUMS website, journal publications, and conference presentations.The research problems focus on the interface of math and statistics, solving real-world problems using methods from uncertainty quantification, and the systematic study of mathematical modeling using statistical data analysis to refine models and quantify uncertainties. The pairing of math and statistics is natural, as math forms the foundation of statistics, and statistics is increasingly being used to refine mathematical models. Also, there is a substantial overlap in undergraduate coursework in these fields. Hence, the barriers to collaboration are low, and exposing students to research across these fields will give students a broad perspective on careers in data science. Participating students will work in teams, each with a faculty and a graduate student mentor, engaging in a 1ten-week research program. Teams will be encouraged to submit their work for publication and present it at a professional conference. The program will be supplemented with online preparation in the spring and research meetings during the academic year to ensure that teams produce mature work. The DRUMS program will train a diverse pool of students pursuing graduate studies in STEM fields. The program website is https://drums.wordpress.ncsu.edu/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.