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

希望学院将为六名数学本科生举办REU课程。 学生将与一名或两名教师分组工作。 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有动力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，并让参与者与教师导师合作取得重大数学成果。 特别是，学生将1）学习新的数学，2）通过学习阅读数学文本和期刊获得数学独立，3）解决原始数学问题，4）通过演示问题和论文学习口头交流数学，5）撰写适合提交给期刊的数学论文。该计划将持续八周。 学生将首先通过教师研究人员的介绍性讲座了解他们自己的项目和其他学生的项目。 学生的研究从阅读导师提供的或通过图书馆研究找到的背景材料开始。 然后，学生对将给出自己的项目或问题来解决。 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。学生将在课程的最后部分的研讨会上展示结果。 鼓励学生在专业会议上以出版形式展示他们的作品。 将为参加专业会议提供旅费。 在该计划的每一年，至少有四名学生参与者将从希望学院以外招募。 如上文所述，该方案的智力价值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，这是该计划的主要重点，是让本科生接触和参与数学研究和一个刺激的环境，以激励他们走向研究生院和数学专业生涯做好准备。

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.