课题基金 / 基金详情

REU Site: Brigham Young University Research Experiences in Mathematics

REU Site: Brigham Young University Research Experiences in Mathematics
REU 网站:杨百翰大学数学研究经验
批准号:
0755422
负责人:
Michael Dorff
金额:
$33.65万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2008
资助国家:
美国
项目状态:
已结题
起止时间:
2008-05-15 至 2012-10-31

项目摘要

项目成果

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中文摘要
翻译
该奖项为12名学生提供2008-2011年夏季在杨百翰大学(BYU)进行为期8周的数学REU的资助。该计划将由3个研究小组组成,每个小组由4名本科生,1名教师导师和1名研究生助理组成。研究课题将从与PI的专业知识和经验相关的领域中选择。这些领域是:面积最小化;施泰纳问题;最小的表面;数学物理和矩阵理论。该计划的目标是:(1)让本科生从事高等数学的研究;(2)鼓励本科生,特别是女学生和研究机会有限的院校的学生攻读数学研究生;(3)为参与者在研究生院取得成功做好准备。参与者将研究数学中的开放性问题。pi在这些领域进行研究和指导本科生方面取得了成功。为了帮助学生体验做研究的过程和兴奋,学生将首先获得一系列的介绍性讲座。此外,他们将单独或作为一个小组与教师导师一起研究具有挑战性的研究问题。学生将定期撰写研究报告,包括期末论文,并每周就他们的研究进行口头报告。该计划的目标是鼓励女性本科生和研究机会有限的机构的本科生参加数学研究生院。我们将从这些团体中招募。此外,我们希望为学生提供技能,这将有助于他们的研究和研究生院。为此,我们将提供计算机培训课程、必要研究技能研讨会和研究生院讨论。
英文摘要
This award provides funds for an 8 week REU in mathematics at Brigham Young University (BYU) for 12 students during the summers of 2008-2011. The program will consist of 3 research groups each consisting of 4 undergraduate students, 1 faculty mentor, and 1 graduate student assistant. The research topics will be selected from areas related to the PI's expertise and experience. These areas are: area minimization; Steiner problems; minimal surfaces; mathematical physics, and matrix theory. The objectives of this program are: (1) to engage undergraduate students in research in advanced mathematics; (2) to motivate undergraduate students, especially female students and students from institutions with limited research opportunities, to attend graduate school in mathematics; and (3) to prepare participants to be successful in graduate school.The participants will be researching open problems in mathematics. The PIs are successful in conducting research in these areas and in mentoring undergraduates. To help students experience the process and excitement of doing research, students will first be given a series of introductory lectures. Also they will work individually and as a group on challenging research problems with the faculty mentors. Students will write periodic research reports including a final paper and give weekly oral presentations about their research. An objective of this program is to encourage female undergraduates and undergraduates from institutions with limited research opportunities to attend graduate school in mathematics. We will recruit from these groups. Also, we want to provide the students with skills that will help them in their research and in graduate school. To do this, we will offer training sessions in computers, seminars on needed research skills, and discussions on graduate school.
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