Research Experiences for Undergraduates in Combinatorics, Geometry, and Matrix Theory

这项资助在中密歇根大学建立了本科生研究经验网站。2002年夏季，在全国范围内招募的8名学生将在为期8周的课程中积极从事数学研究。主要目标是通过提供易于理解和具有挑战性的数学研究问题，激励有才华的本科生从事科学和数学方面的研究生工作。典型的问题领域包括投影平面上的“符号博弈”、图的拉普拉斯谱、矩阵的舒尔稳定性和可除差分集。三位教员将协调这项工作。学生将以两人为一组，由一名教师指导。学生们将在每周的研讨会上展示他们的进步。每个学生将在课程结束时提交一份书面报告。学生们将被鼓励发表他们的作品，并在专业会议上做报告。在招生过程中，将尽一切努力吸引代表性不足群体的学生申请。为了补充研究经验，已经计划了一些丰富活动。由哲学和宗教系成员领导的伦理讲习班将使学生参加者能够开始考虑与科学研究，特别是数学研究有关的伦理问题。去陶氏化学公司或福特汽车公司一日游会让你在工作场所接触到一些数学知识。周末去麦基诺岛（Mackinac Island）旅行，可以让你对密歇根州有一个更广阔的历史视角。联系人：Dr。Sivaram narayan989 - 774 - 5595 - sivaram.narayan@cmich.edu

This grant establishes at Central Michigan University a Research Experiences for Undergraduates site. During Summer 2002, eight students recruited nationwide will be actively engaged in mathematical research during the eight-week program. The primary objective is to stimulate talented undergraduate students to pursue graduate work in science and mathematics by providing accessible and challenging research problems in mathematics. Typical problem areas include a 'sign game' on projective planes, Laplacian spectrum of graphs, Schur stability of matrices, and divisible difference sets. Three faculty members will coordinate the effort. Students will work in groups of two with one faculty mentor. Students will make presentations of their progress during weekly seminars. Each student will submit a written report at the end of the program. Students will be encouraged to publish their work and make presentations at professional meetings. Every effort will be made during recruitment process to attract applications from students in under-represented groups. To complement the research experience, a number of enrichment activities have been planned. An ethics workshop, led by members of the Philosophy and Religion Department, will enable student participants to begin considering ethical issues related to research in the sciences, particularly in mathematics. A day trip to Dow Chemical or Ford Motor will provide some exposure to mathematics in the workplace. A weekend trip to Mackinac Island will provide a broader historical perspective on the state of Michigan. Point of Contact:Dr. Sivaram Narayan989-774-5595sivaram.narayan@cmich.edu