REU Site: Mathematics, Applied Mathematics, and Statistics Research Experience for Undergraduates (MAPS-REU)

该基金将资助由马里兰大学帕克分校数学系组织的本科生数学、应用数学和统计学研究经验项目（MAPS-REU）。在2014年，2015年和2016年的每个夏季的八周内，将提供四个不同的项目。每个项目都会提出具体的问题和研究任务，并将其分离出来进行深入研究；主要研究者将引导学生通过实验探索这些问题和任务。pi将引导学生使用他们的实验发现来形成猜想，并试图严格地证明它们。课程包括代数/数论、应用谐波分析、混沌动力学、几何、数学生物学、概率和随机过程、量子动力学和统计学。每年，对于这四个项目中的每一个，一名教师将与两到三名学生讨论上述一个领域的一个或多个问题。首席教师（组长）将介绍他/她的项目的必要背景，将提出具体的问题，将孤立的问题，和/或将制定数值实验的学生。小组领导每周将安排两到三次与他/她小组的每个学生的会议。为了帮助指导和保持与REU学生的直接联系，每个小组将分配一名研究生。研究生的角色是通过日常会议和进一步指导与REU学生保持直接联系。REU学生将被要求定期就他们的工作或共同感兴趣的背景材料进行口头报告。该项目还将以书面形式为特色：学生将制作讲义来补充他们的报告，并在项目结束时总结他们的结果。此外，学生将学习如何使用各种平台检索数学文献。该项目将以每位REU学生的最后演讲结束。MAPS-REU的学生将提交他们的最终报告给首席教师以及PI和联合PI，这些报告将在项目网站上提供。学生们也将有机会在各种数学会议上展示他们的发现。此外，MAPS-REU的结果将发表在数学期刊上。

This grant will fund the Mathematics, Applied Mathematics, and Statistics Research Experience for Undergraduates (MAPS-REU), organized by the Department of Mathematics at the University of Maryland, College Park. For eight weeks during each of the summers of 2014, 2015, and 2016, four different projects will be offered. For each project, specific questions and research tasks will be posed and isolated for in-depth study; and the principal investigators will guide the students to experimentally explore these questions and tasks. The PIs will lead the students to use their experimental findings to formulate conjectures and attempt to rigorously prove them. There will be projects in algebra/number theory, applied harmonic analysis, chaotic dynamics, geometry, mathematical biology, probability and random processes, quantum dynamics, and statistics.Each year and for each of the four projects, a faculty member will engage two to three students in one or more problems in one of the areas mentioned above. The lead faculty (group leader) will introduce necessary background on his/her projects, will pose specific questions, will isolate problems, and/or will formulate numerical experiments for the students. The group leader will schedule two to three weekly meetings with each student of his/her group. To help mentor and maintain direct contact with the REU students, a post-candidacy graduate student will be assigned to each group. The role of the graduate student will be to maintain direct contact with the REU students through daily meetings and further mentoring. REU students will be asked to give regular oral presentations on their work or on background material of common interest. This program will also feature a written component: students will create handouts to supplement their presentations, as well as a summary of their results at the end of the project. In addition, the students will be introduced to searching mathematics literature using various platforms. The program will close with a final presentation by each REU student. The MAPS-REU students will deliver their final report to both the lead faculty as well as to the PI and the co-PI, and these reports will be made available on the program website. The students will also have opportunities to present their findings at various mathematical meetings. In addition, results from the MAPS-REU will be published in mathematics journals.