REU Site: Computational and Applied Mathematics Program

REU 网站:计算和应用数学项目

基本信息

  • 批准号:
    2348984
  • 负责人:
  • 金额:
    $ 52.93万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Continuing Grant
  • 财政年份:
    2024
  • 资助国家:
    美国
  • 起止时间:
    2024-09-01 至 2027-08-31
  • 项目状态:
    未结题

项目摘要

This project establishes a 3-year summer Research Experience for Undergraduates (REU) program in computational and applied mathematics at Cal Poly Pomona. While mathematics has long served as a fundamental skill, constant improvements in technology now better facilitate its application to a wide range of problems in other sciences and engineering. In particular, such advancements support areas of research focused on developing mathematical models for complex systems to which the ever-increasing available computational power can be applied to find analytically intractable solutions. In undertaking faculty-mentored research projects, students participating in the REU program will gain first-hand experience in research practices, delving into topics to a depth beyond typical mathematics curricula, and providing insight into a key developing role of mathematics in society. The associated use of computation during their endeavors will provide significant coding opportunities, allowing for the development of programming and problem solving skills to support not only current projects, but also the students' future academic and industrial careers. Moreover, a focus of the REU program will be to recruit students from diverse backgrounds and from underrepresented minority groups. Such individuals will shine as role models for their peers and for future generations, helping to promote diversity and inclusion in mathematics and to expand the pool of mathematically- and technologically-focused individuals capable of reinforcing the U.S. as a leader in the global economy.In each of 3 subsequent summers, the 10 students participating in the REU program will be divided into groups; each group will be paired with a faculty member well-versed in the use of computation in areas such as optimization, graph theory, Gaussian processes, and spectral analysis. Each mentor will guide their group from an initial study of foundational material, through a literature review, to the implementation, development, and presentation of computational solution approaches. Alongside their research activities, the students will also engage in a series of workshops beginning with a coding bootcamp and subsequently covering topics such as the responsible conduct of research, resume/CV writing, LaTeX, conference presentation, paper writing, and graduate school preparation. Daily meetings between each mentor and their group, as well as weekly whole-cohort meetings, will build the students' collaboration, communication, and interpersonal skills. Upon completion of the program, the students will have gained extensive experience in computational and applied mathematics, and will be equipped to foster the development and incorporation of mathematics in our increasingly digital and online world. Additional information on this REU program can be found at https://www.cpp.edu/camp-reu/index.shtml.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
该项目在加州波莫纳理工学院建立了一个为期三年的计算和应用数学本科生暑期研究经验(REU)项目。虽然数学长期以来一直是一项基本技能,但技术的不断进步现在更好地促进了它在其他科学和工程中广泛问题的应用。特别是,这些进步支持的研究领域集中在开发复杂系统的数学模型,不断增加的可用计算能力可以应用于寻找解析棘手的解决方案。在承担教师指导的研究项目中,参加REU计划的学生将获得研究实践的第一手经验,深入研究超出典型数学课程的主题,并提供对数学在社会发展中的关键作用的见解。在他们的努力过程中,计算的相关使用将提供重要的编码机会,允许编程和解决问题的技能的发展,不仅支持当前的项目,而且支持学生未来的学术和工业生涯。此外,REU项目的一个重点将是招收来自不同背景和代表性不足的少数群体的学生。这些人将成为同龄人和子孙后代的榜样,有助于促进数学的多样性和包容性,并扩大以数学和技术为重点的个人的数量,从而巩固美国在全球经济中的领导地位。在接下来的3个夏季,参加REU项目的10名学生将被分成小组;每个小组将配备一名精通优化、图论、高斯过程和光谱分析等领域计算应用的教员。每位导师将指导他们的小组从基础材料的初步研究,通过文献综述,到计算解决方法的实现、发展和呈现。除了他们的研究活动,学生们还将参加一系列的研讨会,从编码训练营开始,随后涵盖诸如负责任的研究行为、简历/简历写作、LaTeX、会议演讲、论文写作和研究生院准备等主题。每个导师和他们的小组之间的日常会议,以及每周的全体小组会议,将建立学生的协作,沟通和人际交往能力。完成课程后,学生将在计算和应用数学方面获得丰富的经验,并将具备在我们日益数字化和在线的世界中促进数学发展和结合的能力。关于REU项目的更多信息可以在https://www.cpp.edu/camp-reu/index.shtml.This上找到,该奖项反映了NSF的法定使命,并通过使用基金会的知识价值和更广泛的影响审查标准进行评估,被认为值得支持。

项目成果

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