Inverse Problems: A Curricular Resource for the First Two Years of Mathematical Science

目前正在编制课程材料，以补充全国各学院和大学头两年的数学课程。这些材料的统一主题是数学科学中的逆问题。所有材料的设计都是为了将科学知识与数学分析和基本建模相结合，这些单位将酌情利用图形计算器和现代数学软件。目的是提供数学分析和基本物理原理的无缝融合。课程指南的目标是为教师提供点燃物理直觉的工具，促进模型的建立，鼓励教学，刺激基础数学分析的应用，并普遍促进学生的批判性思维。课件按数学课程层次分类，按应用领域和使用的数学工具交叉索引。它由相关练习，项目和计算经验的模块组成，所有这些都受到（但不一定严格限于）逆问题的启发。此外，在一些模块中提供软件程序。这些材料将以印刷和电子形式广泛散发。一个网络的本科教师谁参加了反问题的数学本科教师增强研讨会，美国的反问题在本科课程的区域数学协会特别会议，或美国的反问题在本科课堂的数学协会的迷你课程将形成核心组的材料的初始分配和测试。

Curricular materials are being developed that complement mathematics courses in the first two years at colleges and universities throughout the nation. The unifying theme of these materials is the subject of inverse problems in the mathematical sciences. All materials are designed to integrate scientific knowledge with mathematical analysis and basic modeling and the units will exploit graphing calculators and modern mathematical software when appropriate. The aim is to provide a seamless blending of mathematical analysis and basic physical principles. The curriculum guide has the goal of providing instructors with tools for kindling physical intuition, fostering model building, encouraging conjecturing, stimulating the application of basic mathematical analysis, and generally promoting critical thinking by their students. The courseware is classified by mathematics course level and cross-indexed by application area and mathematical tools used. It consists of modules of related exercises, projects, and computational experiences, all inspired by (but not necessarily strictly limited to) inverse problems. In addition, software programs are provided in some modules. The material will be widely disseminated in print and electronic forms. A network of undergraduate teachers who took part in the Undergraduate Faculty Enhancement Workshop on the Mathematics of Inverse Problems, the regional Mathematical Association of America special session on Inverse Problems in the Undergraduate Curriculum, or the Mathematical Association of America's Mini-course on Inverse Problems in the Undergraduate Classroom will form the core group for initial distribution and testing of the materials.