Research Experiences for Undergraduates- Environmental Mathematics

2000年夏季在华盛顿州立大学将举办REU（本科生研究经验）项目。 主题是环境数学。 参与者将研究涉及环境问题的研究问题，如地下水污染/补救和生物圈中的碳循环。 他们会分析各种以常/偏微分方程耦合形式描述这些环境问题的数学模型。 在他们的分析中，将使用大学水平的数学概念，如等倾分析、相平面分析、拉普拉斯变换、伪逆、分离变量法和奇异摄动法。 此外，还将使用MATHEMATICA和MATLAB等软件进行分析。 对于某些问题，将使用LU分解技术和有限差分方法进行计算机模拟。 前两周将专门教授学员必要的数学概念，并使他们熟悉现场的计算机资源。 通过让本科生参与者接触有趣而重要的“真实的世界”问题，我们打算让他们学习和欣赏数学在真实的生活中的力量和用处。 我们的希望是提供一个研究经验，这将使学生对应用数学感到兴奋，并将吸引他们到数学研究生研究。

This summer REU (Research Experience for Undergraduate) program will be held inthe year 2000 at Washington State University. The theme will be environmental mathematics. The participants will work on research problems that deal with environmental issues such as groundwater contamination/remediation and carbon cycle in the biosphere. they will analyze various mathematical models in the form of coupled ordinary/partial differential equations that describe these environmental problems. In their analyses, undergraduate-level mathematical concepts such as, isocline analysis, phase plane analysis, Laplace transforms, pseudo-inverses, method of separation of variables and singular perturbation methods will be used. Also, software such as MATHEMATICA and MATLAB will be employed in carrying out the analyses. For some problems, computer simulations will be performed making use of LU decomposition techniques and finite-difference methods. The first two weeks will be devoted to teaching the participants the necessary mathematical concepts and familiarizing them with the on site computer resources. By exposing the undergraduate participants to interesting and important "real world" problems, we intend to make them learn and appreciate the power and usefulness of mathematics in real life. Our hope is to provide a research experience that will get the students excited about applied mathematics and will attract them into doing graduate research in mathematics.