Mount Holyoke Undergraduate Mathematics Summer Research Institute

芒特霍利奥克学院数学系将在2004年至2008年每年夏天为本科生开设数学暑期研究网站。参加REU项目向学生介绍数学研究机构的生活是什么样子。我们将从美国广泛的学院和大学中挑选10名学生从事数学研究。学生们将以五到六人为一组，在一名教员的监督下，每组完成一个不同的项目。这些项目将针对数学研究的主流领域，通常涉及广泛的计算机实验和计算。我们项目的一个重要信息是用例子来说明并可能克服目前纯理论攻击中的障碍。小组每天将单独会面几次，但不同小组的学生将有足够的机会交流想法。学生在他们自己的系列研讨会上计划、组织和发言，在项目的每周研讨会上出席并发言，在地方和全国会议上出席并发言。在这种小组环境中，学生以非常具体的方式学习深刻的概念，这种密集的接触在两个方面帮助他们在研究生院学习。首先，学生在研究生院的头几年准备得更充分，因为他们已经掌握了这些概念。其次，也是更重要的是，REU Experience教会学生如何用例子和问题来充实一个新的概念，直到他们获得基本的直觉。最后，我们项目中的每个学生都写下了他或她的作品的预印本，这些预印本可以在我们的网站上找到。出版物和荣誉往往是夏季工作的结果。

The mathematics department at Mount Holyoke College will operate a mathematics summer research site for undergraduates each summer from 2004-2008. Participation in the REU program introduces students to what life is like at a mathematical research institution.We will select ten students drawn from a broad range of U.S. colleges and universities to engage in mathematical research. The students will work in groups of five or six, each group carrying out a different project under the supervision of a faculty member. The projects will be directed at mainstream areas of mathematical research and often involve extensive computer experimentation and computation. An important message of our program is the the power of examples to illuminate, and possibly overcome, current impassesin purely theoretical attacks.The groups will meet separately several times a day but ample opportunity will be provided for students in different groups to exchange ideas. Students plan, organize, and speak in their own seminar series, attend and speak in the program's weekly seminars, and attend and speak at local and national meetings.In this small group setting, students learn deep concepts in a very concrete way and this intense exposure helps them in graduate school in two ways. First, students are better prepared in their first years of graduate school simply because they have already mastered these concepts. Second, and more importantly, the REUexperience teaches students how to take a new concept and flesh it out, using examples and questions until they gain the essential intuition for it.Finally, each student in our program writes up a preprint of his or her work and these preprints are available on our web site. Publications and honors theses often result from the summer's work.