REU Site: Research Experience for Undergraduates in Applied and Computational Mathematics

中佛罗里达大学应用和计算数学本科生研究体验项目将为一组10名本科生提供机会，在三个夏季中每个夏季进行10周的研究项目，研究应用和计算数学中出现的数学问题。将作出特别努力，从代表性不足的少数群体中招收有才能的学生，以及在本国机构获得研究机会有限的学生。学生将与教师密切合作，开展各种各样的研究项目，这些项目应用于医学成像、金融工程和数学生物学。迷你课程，发展研讨会，职业和研究生院准备研讨会，社会和娱乐活动，以及REU研讨会是该计划期间提供的一些机会。REU项目旨在解决应用偏微分方程、计算数学、金融工程和数学生物学中的重要问题。每个课程都将由一名该主题的教师专家领导，他将在整个项目期间密切指导学生。REU导师将努力促进跨研究轨道的合作。其中一些项目包括：自由边界数学模型、与解的平滑性有关的问题、与医学成像有关的逆散射问题、由金融数学产生的基于方程和基于数据的模型，以及关于流行病学问题的复杂数学模型。独立的研究轨道，学生将接触到强大的数学思想和方法。其中一些项目有望产生高质量的同行评议研究文章。最终，该课程旨在为学生在学术界或工业界的职业生涯做好准备，这些职业需要严格的数学基础。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

The Research Experience for Undergraduates in Applied and Computational Mathematics at the University of Central Florida will provide a group of ten undergraduate students with the opportunity to conduct research projects on mathematical issues arising in applied and computational mathematics for ten weeks for each of three summers. Special effort will be made to recruit talented students from underrepresented minority groups as well as those with limited access to research opportunities in their home institutions. Students will work closely with faculty members on a diverse array of research projects that have applications in medical imaging, financial engineering, and mathematical biology. Mini-courses, developmental seminars, career and graduate school preparation workshops, social and recreational activities, and an REU symposium are some of the opportunities that will be offered during the program. The REU projects aim to address important questions in applied partial differential equations, computational mathematics, financial engineering, and mathematical biology. Each of these tracks will be led by a faculty expert on the theme who will closely mentor students throughout the project duration. The REU mentors will endeavor to foster collaborations across the research tracks. Some of the projects include: free boundary mathematical models, questions pertaining to smoothness of solutions, inverse scattering problems related to medical imaging, equation-based as well as data-based models arising from financial mathematics, and complex mathematical models on epidemiological problems. Independent of the research track, students will be exposed to powerful mathematical ideas and methods. Some of these projects are expected to lead to quality peer-reviewed research articles. Ultimately, the program intends to prepare students for careers in academia or industry that require a rigorous mathematical foundation.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.