Instructional Laboratory for Undergraduate Mathematics Majors

本科数学专业教学实验室

• 批准号: 9751284
• 负责人: Hien Tran
• 金额: $ 2.5万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-05-01 至 1999-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9751284&HistoricalAwards=false
• 关键词: Instructional; Laboratory; Undergraduate; Mathematics; Majors

For the past 3 years, the proposers have developed (on a small scale of 15 18 students) a modeling course (MA581B) based on fundamental physical processes: heat flow, wave propagation, and fluid and structural dynamics. Among the specific topics covered in the course have been thermal imaging and detection, dynamics properties (stiffness, damping) of structures such as beams and plates, acoustics, and fluid transport. The course, at a level appropriate for juniors, seniors, and first-year graduate students in the mathematical sciences, has been an unqualified success and is being expanded from a one-semester trial course to a two-semester regular course sequence. One of the difficulties during the past 3 years has been the necessity to use several different laboratories (e.g., NASA Langley, local industries, and even other universities) throughout the semester. In order to bring this pedagogy to a wider group of students (including students from a new Applied Mathematics Honors Program and students in selected sections of undergraduate courses), the university must have a dedicated laboratory where experiments can be scheduled at the convenience of the courses using it. The objective of the new equipment acquisition is to equip an instructional laboratory for undergraduate mathematics majors. Several specific areas (thermal, acoustic, mechanical vibrations, and Fourier analysis) of capabilities can be developed for the laboratory experiments and demos. For prospective academicians as well as young mathematical scientists entering the industrial (multidisciplinary) workforce, the experiences afforded by these laboratory-based mathematics courses are invaluable.

在过去的 3 年里，提议者（以 15 18 名学生为小规模）开发了基于基本物理过程的建模课程 (MA581B)：热流、波传播以及流体和结构动力学。 课程涵盖的具体主题包括热成像和检测、梁和板等结构的动力学特性（刚度、阻尼）、声学和流体传输。 该课程的水平适合数学科学领域的大三、大四和一年级研究生，取得了巨大的成功，并且正在从一个学期的试用课程扩展到两个学期的常规课程。 过去 3 年的困难之一是整个学期必须使用几个不同的实验室（例如 NASA 兰利、当地工业，甚至其他大学）。 为了将这种教学法带给更广泛的学生群体（包括新应用数学荣誉课程的学生和本科课程选定部分的学生），大学必须有一个专门的实验室，可以在使用该实验室的课程方便时安排实验。 购置新设备的目的是为本科数学专业配备教学实验室。 可以为实验室实验和演示开发几个特定领域（热、声、机械振动和傅里叶分析）的功能。 对于未来的院士以及进入工业（多学科）劳动力市场的年轻数学科学家来说，这些基于实验室的数学课程提供的经验是非常宝贵的。