Mathematical Sciences: A Research Initiation for UndergradesVia Differential Equations and Iterated Mappings

本科生研究体验项目将获得该奖项的资助。十名学生将在两名教师导师的指导下解决数学分析问题。首席研究员和客座教员都积极参与了去年在TSU进行的REU项目。同样，还将有与休斯顿大学的联合活动。包括每周访问密歇根大学校园，以访问非线性动力学实验室的设施。此外，还将举行职业日和小组讨论。来自埃克森美孚和约翰逊航天中心等周边社区以及其他学术机构的参观者将与学生会面，讨论职业机会。这项研究将集中在两个主要主题上。这些是常微分方程式的振动理论，以及映射和混沌的迭代，有时被称为离散动力系统。这些主题特别好；几乎可以立即让学生接触到具有强烈几何色彩的重要和可理解的问题。将鼓励学生准备关于他们成绩的报告，并在专业会议上展示这些报告。特别是，他们将被邀请参加每年在休斯顿举行的少数族裔教授研究协会年会。

A Research Experiences for Undergraduates project will be supported by this award. Ten students will work on problems of mathematical analysis under the direction of two faculty advisors. The principal investigator and the visiting faculty member were both heavily involved with the REU program conducted last year at TSU. Again too, there will be joint activities with the University of Houston. Included will be a weekly visit to the UH campus to access the facilities of the Nonlinear Dynamics Laboratory. In addition, a Careers Day and panel discussion will be repeated. Visitors from the surrounding community such as Exxon and the Johnson Space Center as well as other academic institutions will meet with students to discuss career opportunities. The research will focus on two primary topics. These are oscillation theory of ordinary differential equations and iterating of mappings and chaos, sometimes referred to as discrete dynamical systems. These topics are particularly good; one can involve students almost immediately with important and intelligible problems with a strong geometric flavor. Students will be encouraged to prepare reports on their accomplishments and present them at professional meetings. In particular, they will be invited to attend the annual meeting of the Research Association of Minority Professors held each year in Houston.