Mathematical Sciences: Mathematical Models in Materials Science

弗吉尼亚理工大学弹性材料数学模型的本科生暑期体验将集中在材料科学的数学问题上。弗吉尼亚理工大学的数学教师中有很大一部分人参与了这一课题的研究，这种参与产生了与其他院系和行业的密切研究联系。这门课程是向本科生介绍数学研究的理想选择，因为它将广泛的数学学科应用到一个容易理解的物理环境中。此外，它以新的和具有挑战性的方式使用本科基础数学技术，同时指出加深理解所需的更先进的技术。该课程将向本科生介绍材料科学的数学基础知识，让他们接触到各种各样的数学技术和应用，并指导他们进行个人和小组项目。以下是该计划的关键组成部分。1.该课程将以广泛的数学方法为特色，让学生了解偏微分方程式、群论和科学计算的应用。2.该计划将有一个强大的跨学科组成部分，将使学生接触到工程师、地质学家和计算机科学家的思想和语言。3.该项目将包含强大的工业成分，让学生接触到数学在工业和政府实验室中的应用。4.该计划将利用其跨学科的性质，帮助学生专注于数学和科学领域的职业。5.该计划将使用通过互联网和电话会议的远程学习，在本科生研究人员中建立一个团队环境，并帮助建立在为期六周的密集校园课程中取得成功所需的基础技能。

The Virginia Tech Summer Experience for Undergraduates in Mathematical Models of Elastic Materials will concentrate on mathematical problems in material science. A broad segment of Virginia Tech's mathematics faculty is involved in research on this subject and that involvement has generated strong research ties to other departments and to industry. The subject is ideal for introducing undergraduates to mathematical research because it applies a wide range of mathematical disciplines to a readily understandable physical setting. Furthermore, it uses foundational undergraduate mathematical techniques in new and challenging ways while pointing to more advanced techniques needed for a deeper understanding. The program will introduce undergraduate students to the mathematical fundamentals of materials science, expose them to a broad variety of mathematical techniques and applications, and guide them in individual and group projects. The following are key components of the program. 1. The program will feature a broad mathematical approach that will expose students to applications of partial differential equations, group theory, and scientific computing. 2. The program will have a strong interdisciplinary component that will expose the students to ideas and language of engineers, geologists, and computer scientists. 3. The program will have a strong industrial component that will expose students to the applications of mathematics in industry and government labs. 4. The program will use its interdisciplinary nature to help students focus on careers in mathematics and the sciences. 5. The program will use distance learning via the internet and teleconferencing to build a team environment among the undergraduate researchers and to help build the foundational skills needed for success in the intensive six-week on-campus session.