Mount Holyoke Undergraduate Mathematics Summer Research Institute

霍利奥克山学院的数学系将在2004-2008年的每个夏天为本科生开设一个数学暑期研究网站。参加REU项目，让学生了解数学研究机构的生活。我们将从美国各所大学和学院中挑选10名学生从事数学研究。学生们将以五六人为一组，每组在一名教师的监督下进行不同的项目。 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。我们的计划的一个重要信息是例子的力量，以照亮，并可能克服，目前在纯理论攻击的impassesin。小组将单独满足每天几次，但将提供充足的机会，为学生在不同的小组交换意见。学生计划，组织，并在自己的研讨会系列发言，参加并在该计划的每周研讨会发言，并参加并在地方和国家会议发言。在这个小组设置，学生学习深刻的概念，在一个非常具体的方式，这种强烈的曝光帮助他们在研究生院在两个方面。首先，学生们在研究生院的第一年准备得更好，因为他们已经掌握了这些概念。第二，更重要的是，REUexperience教学生如何采取一个新的概念，并充实它，使用的例子和问题，直到他们获得它的基本直觉。最后，每个学生在我们的程序写了他或她的工作和这些预印本可在我们的网站上。 出版物和荣誉论文往往来自夏季的工作。

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.