CSUMS: Research and Education in Computational Mathematics for Undergraduates in the Mathematical Sciences at NJIT

CSUMS：新泽西理工学院数学科学本科生计算数学研究和教育

• 批准号: 0639270
• 负责人: Zoi-Heleni Michalopoulou
• 金额: $ 53.67万
• 依托单位: New Jersey Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0639270&HistoricalAwards=false
• 关键词: CSUMS; Research; Education; Computational; Mathematics

The Department of Mathematical Sciences (DMS) at the New Jersey Institute of Technology (NJIT) is designing an undergraduate CSUMS training program that will (1) build on and enhance the existing curriculum combining mathematics and scientific computation and (2) establish significant group research involvement for undergraduates majoring in mathematical sciences. Specifically, the NJIT program will expose undergraduate mathematical science students to advances in scientific computing by creating new courses in stochastic computation, computing for inverse problems, and computational mathematical finance. The NJIT CSUMS program will also immerse students in significant group research projects involving state-of-the-art computational algorithms and methodologies, including parallel computing. Research projects within the NJIT CSUMS program canvass many different areas in the mathematical sciences, including the application of mathematics and scientific computing to the study of fluid flow, optical fiber communications, ecology, algorithms for curve drawing, and finance. The program takes advantage of the wide range of interests of the DMS faculty and nearby industrial scientists. An important component of the NJIT CSUMS program is the group focus of the proposed activities, including team projects supervised by multiple faculty, weekly group meetings, and workshops in scientific computation. The scientific results obtained will be disseminated through publication and presentation at various conferences. NJIT CSUMS students will be mentored closely by faculty and graduate students and will develop the leadership skills to become mentors of future CSUMS generations themselves. With expertise in mathematical modeling and scientific computation, CSUMS students will emerge from this program with unique interdisciplinary skills and are expected to become the future leaders in the mathematical sciences both in industry and in the nation's graduate programs. The benefits of CSUMS will be felt beyond the participants themselves. New courses integrating mathematics and computation will be developed which will benefit all NJIT students. The curriculum extensions will offer the diverse NJIT student body opportunities to gain insight into mathematical modeling and scientific computing that will enhance their careers in science and technology.

新泽西理工学院（NJIT）的数学科学系（DMS）正在设计一项本科生csum培训计划，该计划将(1)建立并加强数学与科学计算相结合的现有课程，(2)为数学科学专业的本科生建立重要的小组研究参与。具体来说，新泽西理工大学的项目将通过开设随机计算、逆问题计算和计算数学金融等新课程，让数学科学专业的本科生接触到科学计算的进步。NJIT csum项目还将让学生沉浸在涉及最先进的计算算法和方法（包括并行计算）的重要小组研究项目中。NJIT csum项目的研究项目涵盖了数学科学的许多不同领域，包括数学和科学计算在流体流动、光纤通信、生态学、曲线绘制算法和金融研究中的应用。该计划利用了DMS教师和附近工业科学家的广泛兴趣。新泽西理工大学csum项目的一个重要组成部分是所提议活动的小组焦点，包括由多名教师监督的团队项目、每周小组会议和科学计算研讨会。获得的科学成果将通过出版物和在各种会议上发表来传播。NJIT csum的学生将受到教师和研究生的密切指导，并将培养领导技能，成为未来csum一代的导师。凭借在数学建模和科学计算方面的专业知识，csum的学生将从这个项目中脱颖而出，具有独特的跨学科技能，并有望成为工业和国家研究生课程中数学科学的未来领导者。csum的好处将超越参与者本身。将开发整合数学和计算的新课程，这将使所有新泽西理工学院的学生受益。课程扩展将为不同的新泽西理工大学学生群体提供深入了解数学建模和科学计算的机会，这将增强他们在科学和技术领域的职业生涯。