REU Site: Mathematical Sciences at Ursinus College - A Broad Spectrum of Opportunities

该REU网站，数学科学在乌尔西纳斯学院：机会的广谱，将是一个充满活力的学者社区与学生作为不可分割的成员，并将专注于暴露学生在数学科学的众多子领域的机会。接触来自多个领域的问题、概念和观点，激发了新的、深刻的和有趣的定理、理论和算法。pi和高级人员是数学科学各个领域的活跃研究人员，从纯数学（分析，算子理论）到应用数学（数学建模，微分方程）到计算机科学（信息检索，高性能计算）。REU包括使用跨项目讨论来推进数学科学不同领域的知识，重点是让本科生参与严肃的研究。REU活动的构思和组织使参与者能够在校内和校外获得变革性的学习经验，并将在促进互动的环境中工作。这个项目的目标是培养本科生？对研究的兴趣和技能，提高他们利用复杂结构和分析复杂问题的能力，并为他们提供在数学科学领域成功研究所需的数学复杂性。来自不同背景的学生将在全国范围内招募，他们将相互交流，并与经验丰富的教师互动。学生将花八周的时间专门在数学科学的原创性研究团队中工作，在教师导师的密切指导下。REU将要求每周的可见产品，在区域和国家会议上的演讲，准备提交给研究期刊的论文，参加研究生机会会议，并访问其他REU站点。REU的学生将通过参加一些校外专业活动，与更大的数学科学界建立网络和发展专业关系。参与者将无缝整合到现有的乌尔西纳斯夏季研究员研究计划，这将使学生接触到广泛领域的学术调查。REU特别重视招收那些没有机会参加研究项目的学生。乌尔西纳斯学院是高选择性文理学院中比较多样化的校园之一，PI有记录，也有承诺，让来自代表性不足群体的学生参与研究项目。

The REU Site, Mathematical Sciences at Ursinus College: A Broad Spectrum of Opportunities, will be a vibrant community of scholars with students as integral members, and will focus on exposing students to opportunities in numerous subfields of the mathematical sciences. Exposure to questions, concepts, and viewpoints from multiple fields has inspired new, deep and interesting theorems, theories and algorithms. The PIs and senior personnel are active researchers in diverse fields in the mathematical sciences ranging from pure mathematics (analysis, operator theory) to applied mathematics (mathematical modeling, differential equations) to computer science (information retrieval, high performance computing). The REU includes the use of cross-project discussion to advance knowledge across different fields in the mathematical sciences with a focus on engaging undergraduates in serious research. The REU activities have been conceived and organized so that participants will have transformative learning experiences on- and off-campus, and will work in an environment that fosters interaction. The program goals are to nurture undergraduates? interest and skills in research, improve their ability to utilize complex constructions and analyze complex issues, and provide them with the mathematical sophistication required for successful research careers in the mathematical sciences. Students from diverse backgrounds will be recruited nationwide, and will interact with each other and with experienced faculty. Students will spend eight weeks devoted exclusively to working in teams on original research in the mathematical sciences under the close tutelage of a faculty mentor. The REU will require weekly visible products, presentations at regional and national conferences, preparation of papers for submission to research journals, attendance at sessions on post-graduate opportunities, and visits to other REU sites. The REU students will network and develop professional relationships with the larger mathematical sciences community by participating in a number of off-campus professional events. Participants will be seamlessly integrated into the existing Ursinus Summer Fellows research program which will expose the students to scholarly investigations in a wide range of fields. The REU places a special emphasis on recruiting students who would not otherwise have an opportunity to participate in a research project. Ursinus College is one of the more diverse campuses among highly selective liberal arts colleges, and the PI has a record of, as well as a commitment to, involving students from underrepresented groups on research projects.