REU Site: Undergraduate Research in Algebra, Analysis, and Probability

霍普学院将为六名数学本科生举办REU项目。学生将与一名或两名教职员工分组工作。项目将从代数、概率和分析的主题中选择。主要目标是帮助有才华和积极性的学生发展成为数学研究人员，促进数学研究作为一种职业，并让参与者在教师导师的合作下取得显著的数学成果。特别是，学生们将1)学习新的数学，2)通过学习阅读数学课文和期刊来获得数学独立性，3)解决原始的数学问题，4)通过展示问题和论文学会用语言交流数学，5)写一篇适合提交给期刊的数学论文。项目将持续8周。学生最初将通过教师研究人员的介绍性讲座来了解他们自己和其他学生的项目。学生研究从阅读导师提供的背景材料或通过图书馆研究找到的背景材料开始。然后，学生对将被分配到他们自己的项目或要解决的问题。导师将积极参与帮助学生获得必要的背景知识，并作为问题的顾问和合作伙伴。学生将在项目的最后部分的研讨会上展示结果。将鼓励学生在专业会议上以出版的形式展示他们的作品。将为参加专业会议的旅费提供资金。在该项目的每一年，至少有四名学生参与者将从希望学院以外的地方招募。将做出重大努力来招募女性和少数群体成员。如上所述，该项目的智力优势在于发现新的数学和开发符合与本科生合作的限制的可行的数学模型。更广泛的影响，也是该计划的主要重点，是让本科生接触到数学研究和激励环境，从而激励他们进入研究生院和数学专业生涯，并为他们的职业生涯做好准备。

Hope College will host an REU program for six undergraduates in mathematics. Students will work in groups with one or two faculty members. Projects will be chosen from topics in algebra, probability and analysis.Primary goals are to help talented and motivated students develop as mathematical researchers, to promote mathematics research as a career, and to have the participants achieve significant mathematical results in partnership with a faculty mentor. In particular, students will 1) learn new mathematics, 2) gain mathematical independence by learning to read math texts and journals, 3) solve an original mathematical problem, 4) learn to communicate mathematics verbally through presentation of problems and papers, and 5) write a mathematical paper suitable for submission to a journal.The program will be eight weeks. Students will initially learn about their own projects and those of other students through introductory lectures given by the faculty researchers. Student research begins by reading background material either provided by the mentor or found through library research. The student pairs will then be given their own project or problem to solve. The mentors will be actively involved both in helping the students obtain the requisite background understanding, and as consultants and partners on the problems.Students will present results at seminars during the last portion of the program. Students will be encouraged to present their work at professional meetings and in published form. Funds will be provided for travel to professional meetings. In each year of the program, at least four of the student participants will be recruited from outside Hope College. A significant effort will be made to recruit women and members of minority groups.As indicated in the above description, the intellectual merit of this program consists in discovering new mathematics and developing viable mathematical models consistent with the constraints of collaborating with undergraduate students. The broader impacts, which is the main focus of this program, is to expose and engage undergraduate students to mathematical research and a stimulating environment so as to motivate them towards and prepare them for graduate school and a professional career in mathematics.