Vertical Integration of Research and Education in Applied Mathematics
应用数学研究与教育的垂直整合
基本信息
- 批准号:9810751
- 负责人:
- 金额:$ 232.92万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:1999
- 资助国家:美国
- 起止时间:1999-05-01 至 2006-04-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
9810751 Meiss The Department of Applied Mathematics of the University of Colorado at Boulder's VIGRE program is focussed in the areas of computational and nonlinear mathematics. The program creates tetrahedral research groups consisting of a faculty mentor, a postdoctoral fellow, several graduate students, and undergraduate majors. Tetrahedra will focus on particular interdisciplinary research problems, hold seminars, write research proposals, and participate in the curriculum reform program. The curriculum will be integrated with computation using multi-layered case study modules. Affiliated faculty serve as co-advisors for Ph.D. theses of our students; the affiliated faculty program will be extended to government laboratories and technology companies. The program will create four tetrahedral groups in the areas of Dynamical Systems, Nonlinear Waves, Multilevel Computation, and Fast Algorithms and Modeling. The four facets of interaction within the groups include: teaching--as a seminar, and in the development of case study projects; learning--to develop mathematical, computational, and communication skills; discovering--to develop the techniques for formulation of useful and solvable research problems; and communicating--to collaborate in the joint production of research papers, grant proposals, and interim research reports. Computational mathematics provides the unifying theme for vertical integration of our training program. Computation will be integrated into lower division courses through Case Study Modules. Vertical integration will be implemented through the development of a multi-layered modeling course that has both lower and upper division undergraduate components as well as a graduate component. The VIGRE grant will support four Postdoctoral Fellows. They will receive mentoring from a faculty advisor and teach one course each semester for the Department. Twelve Graduate Trainees will be funded by the proposal. They will participate in the tetrahedra, research pro posal development, and the development and implementation of case study modules and receive teacher training through the Teaching and Learning Seminar and the Graduate Teacher Program. Four Undergraduate Research Experiences will be funded each year. Students will participate in one of the tetrahedra part-time during the academic year and for two months during the summer. These initiatives will be sustainable and lead to a number of permanent structural changes: successful tetrahedral research groups will endure and be emulated, case study modules will form an essential part of our curriculum, and the extended affiliated faculty will result in a continuing option for training of our students in application areas. Funding for this activity will be provided by the Division of Mathematical Sciences and the MPS Office of Multidisciplinary Activities.
9810751 Meiss科罗拉多大学博尔德分校应用数学系VIGRE项目的重点是计算和非线性数学领域。该项目创建了一个四面体研究小组,由一名教师导师、一名博士后、几名研究生和本科生组成。四面体将专注于特定的跨学科研究问题,举办研讨会,撰写研究建议,并参与课程改革计划。课程将与使用多层案例研究模块的计算相结合。学院教师为学生博士论文的共同指导老师;附属教师计划将扩大到政府实验室和技术公司。该计划将在动力系统、非线性波、多层计算和快速算法和建模领域创建四个四面体小组。小组内部互动的四个方面包括:教学-作为研讨会,并在案例研究项目的发展中;学习——发展数学、计算和沟通能力;发现——开发有用的和可解决的研究问题的表述技术;沟通——在共同撰写研究论文、拨款提案和中期研究报告方面进行合作。计算数学为我们的培训计划的垂直整合提供了统一的主题。计算将通过案例研究模块整合到低年级课程中。垂直整合将通过多层建模课程的开发来实现,该课程包括低级和高级本科部分以及研究生部分。VIGRE基金将资助四名博士后。他们将接受指导老师的指导,每学期为系里教授一门课程。该提案将资助12名研究生培训生。他们将参与四面体、研究提案开发、案例研究模块的开发和实施,并通过教学与学习研讨会和研究生教师计划接受教师培训。每年将资助四个本科生研究经验。学生将在学年期间兼职参加其中一个四面体,在夏季参加两个月。这些举措将是可持续的,并导致一些永久性的结构变化:成功的四面体研究小组将持续存在并被模仿,案例研究模块将成为我们课程的重要组成部分,扩展的附属教师将为我们的学生在应用领域的培训提供持续的选择。这项活动的经费将由数学科学司和MPS多学科活动办公室提供。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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James Meiss其他文献
James Meiss的其他文献
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{{ truncateString('James Meiss', 18)}}的其他基金
The Geometry of Transport in Symplectic and Volume-Preserving Dynamics
辛和保体积动力学中的输运几何
- 批准号:
1812481 - 财政年份:2018
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
Structure, Transport, and Chaos in Volume-Preserving Dynamics
体积保持动力学中的结构、传输和混沌
- 批准号:
1211350 - 财政年份:2012
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
Chaos and Bifurcations in Volume-Preserving Dynamics
体积保持动力学中的混沌和分岔
- 批准号:
0707659 - 财政年份:2007
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
Geometry and Computation of Dynamics for Conservative Systems
保守系统的几何和动力学计算
- 批准号:
0202032 - 财政年份:2002
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
Destruction of Chaos and Detection of Order in Multi-dimensional Dynamical Systems
多维动力系统中混沌的破坏和秩序的检测
- 批准号:
9971760 - 财政年份:1999
- 资助金额:
$ 232.92万 - 项目类别:
Standard Grant
Mathematical Sciences: Transition to Chaos in Multidimensional Hamiltonian Systems
数学科学:多维哈密顿系统中向混沌的转变
- 批准号:
9623216 - 财政年份:1996
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
Mathematical Sciences: Formation Process and 3-D Dynamics of Vortex Rings
数学科学:涡环的形成过程和 3-D 动力学
- 批准号:
9408697 - 财政年份:1994
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
Mathematical Sciences: Graduate Research Traineeship in Applied Mathematics
数学科学:应用数学研究生研究实习
- 批准号:
9256335 - 财政年份:1993
- 资助金额:
$ 232.92万 - 项目类别:
Standard Grant
Mathematical Sciences: From Tori to Cantori: Symplectic Mappings
数学科学:从 Tori 到 Cantori:辛映射
- 批准号:
9305847 - 财政年份:1993
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
Mathematical Sciences: Transport for Symplectic Mapping
数学科学:辛映射的传输
- 批准号:
9001103 - 财政年份:1990
- 资助金额:
$ 232.92万 - 项目类别:
Continuing Grant
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