REU Site: Applied Mathematics Research Program for Undergraduates

AMRPU@FIU项目专注于向本科生介绍应用数学研究，并为学生提供探索标准课程以外的各种主题和模型的机会。学生将得到指导和指导，帮助他们从事与自己的兴趣密切相关的合作研究项目。使用这种应用建模方法，学生可以比在普通课堂环境中更快地对数学有更深入的理解。此外，小组研究项目将使学生熟悉有效的团队合作所必需的沟通技能，并将提供机会撰写科学的、有可能发表的论文，并练习他们的工作的公开陈述。此外，该计划旨在促进非常多样化的本科生群体获得应用数学研究的机会，包括数学和科学专业中代表性不足的少数民族和女性学生，并增加进入劳动力大军的学生数量和熟练程度。通过这种多方面和包容性的方法，学生将获得宝贵的经验，这些经验将有助于他们在研究生院和职业生涯中取得成功。应用数学提供了一个丰富和具有挑战性的研究领域，具有实际应用价值。通过数学建模和分析，科学和技术领域的各种学科都得到了提升。流行病学、生态学、生物医学、流体动力学、反应扩散过程和空气动力学只是众多例子中的一小部分。每年夏天，这个REU项目将有一套不同的培训和研究主题，但将保持不同学科之间的相互联系以及建模和应用的共同主题。课程重点包括：微分方程式与动力系统、傅立叶分析、线性代数、概率与统计。这些领域(以及其他领域)之间的联系将使与会者对数学领域及其在所有科学和技术领域的效用有一个广泛的看法，这是传统数学教学经常忽视的一个观点。同样，接触到来自不同背景、种族、血统和性别的本科生、研究生和教师导师的共同线索和各种想法和方法，将有助于推动科学事业的进步。该奖项反映了NSF的法定使命，并通过使用基金会的智力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 AMRPU @ FIU program focuses on introducing undergraduate students to research in applied mathematics and provides opportunities for the students to explore various topics and models outside of the standard curriculum. Students will have instruction and mentoring that will help them pursue collaborative research projects closely aligned with their own interests. With this applied modeling approach, the students can quickly get a deeper understanding of the mathematics than is possible in an ordinary classroom environment. In addition, group research projects will familiarize students with communication skills necessary for effective teamwork and will provide opportunities to write scientific, potentially publishable, papers and practice public presentations of their work. Moreover, the program is designed to facilitate access to research in applied mathematics for a very diverse group of undergraduates, including under-represented minority and female students in mathematics and science, and to increase the number and proficiency of students entering the workforce. Through this multifaceted and inclusive approach, the students will gain valuable experiences that will enhance their success in graduate school and careers.Applied Mathematics provides a rich and challenging field of study with practical applications. A wide variety of subjects across science and technology are advanced through mathematical modeling and analysis. Epidemiology, ecology, biomedicine, fluid dynamics, reaction-diffusion processes, and aerodynamics are just a few of the many examples. Each summer this REU program will have a different set of topics for training and research but will keep the common theme of interconnections among the various disciplines of mathematics as well as modeling and applications. The areas of focus include Differential Equations and Dynamical Systems, Fourier Analysis, Linear Algebra, and Probability and Statistics. Connections among these areas (as well as others) will provide the participants a broad view of the fields of mathematics and their utility in all areas of science and technology, a perspective too often missed in traditional mathematics instruction. Similarly, exposure to the common threads and variety of ideas and approaches from a diverse group of undergraduates, graduate students, and faculty mentors of all backgrounds, ethnicities, ancestry, and gender will help promote the progress of the scientific enterprise.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.