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

鼓的总体目标是(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以及他们与应用程序和数据科学的互动感兴趣，(Ii)提供产生高质量成果的研究机会，包括会议摘要、同行评议的期刊手稿和开放源码计算图书馆。数学和统计学专业的本科生渴望真实世界的体验。与其他领域的研究人员合作，应用从课程作业到挑战问题的技术，为学生提供了信心，并加深了对数学和统计概念的理解。配合专业发展计划，鼓将培养出一支多样化的本科生研究人员队伍，他们具有充分的技术和软技能，为攻读STEM领域的研究生课程做好准备。该计划通过为每个团队嵌入一名研究生导师并培训包容和有效的导师来加强垂直整合。这项工作将通过鼓网站、期刊出版物和会议演讲进行传播。研究问题集中在数学和统计学的接口，使用不确定性量化的方法解决现实世界的问题，以及使用统计数据分析对数学建模进行系统研究，以完善模型和量化不确定性。数学和统计学的结合是很自然的，因为数学构成了统计学的基础，统计学越来越多地被用来改进数学模型。此外，这些领域的本科课程也有很大的重叠。因此，合作的门槛很低，让学生接触这些领域的研究将让学生对数据科学的职业有一个广阔的视角。参与的学生将以小组形式工作，每个小组有一名教师和一名研究生导师，参与为期110周的研究计划。将鼓励团队提交他们的作品以供发表，并在专业会议上展示。该项目将在春季进行在线准备，并在学年期间召开研究会议，以确保团队完成成熟的工作。鼓乐项目将培养一批在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，反映了国家科学基金会的法定使命，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 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.