Mathematics Research and Education at the University of Illinois at Urbana-Champaign

罗森布拉特伊利诺伊大学香槟分校(UIUC)Vigre项目的主要目标是通过教学和研究方面的创新和综合活动促进数学事业的发展。UIUC的优势，特别是在工程和科学方面的优势，创造了对数学课程的巨大需求；数学系每年向大约10,000名本科生教授数学，并有200名学生在其研究生课程中注册。UIUC的Vigre计划有三个组成部分：通过课程改革和教学创新加强研究生计划，通过在研讨会和课程中引入新的研究和教学机会来改善本科计划，根据教师的研究兴趣扩大博士后计划，并为博士后助理提供教学和研究方面的培训。此外，研究生、本科生和博士后助理与不同类型的同龄人团体中的教师联系在一起，以促进沟通，促进专业发展，并垂直整合我们的活动。在研究生教育中，创新的新课程将研究生引入教师和博士后助理的研究。Vigre奖学金为研究生提供了独立学习的时间，使他们能够在自己选择的数学专业中更快地成熟。与此同时，教职员工为研究生提供指导下的教学经验，为他们在课堂环境中做好准备。在本科生经验中，特别调查课程提供了关于数学在UIUC校园中代表的许多学科中的作用的新见解。本科生的研究经历使本科生对数学研究的性质及其在跨学科研究中的作用有了清晰的认识。在教师导师的指导下的特殊教师培训经验帮助本科生发展他们的课堂教学技能。Vigre支持的博士后职位将使UIUC将最近的博士学位整合到数学系的研究和教学活动中。该系为Vigre博士后助理提供研究生和本科生的教学机会。有两种类型的辅导同行组形成，跨级别同行组(ALPS)和在同行中进行研究(RAP)。这项活动的经费由数学科学处和重大计划署多学科活动办公室提供。

AbstractRosenblattThe main goal of the VIGRE program at the University of Illinois at Urbana-Champaign (UIUC) is to advance the mathematics enterprise through innovative, integrated activities in teaching and research. The Department of Mathematics is one of the largest and most active mathematics departments in the world. The University's strength, particularly in engineering and the sciences, creates a huge demand for mathematics courses; the Department of Mathematics teaches mathematics to about 10,000 undergraduate students each year, and has 200 students enrolled in its graduate programs.The VIGRE program at UIUC has three components:strengthening the graduate program through curricular reform and instructional innovation improving the undergraduate program through the introduction of new research and teaching opportunities in seminars and courses expanding the postdoctoral program in correlation with the faculty's research interests, and providing the postdoctoral associates with training in teaching and research. Moreover, graduate students, undergraduate students, and postdoctoral associates are linked with faculty in different types of peer groups to facilitate communication, to promote professional development, and to vertically integrate our activities.In graduate education, innovative new courses introduce the graduate students to the research of the faculty and postdoctoral associates. Graduate students will run their own seminars, giving them autonomy in their mathematical studies. VIGRE fellowships give the graduate students independent study time and allow them to mature more rapidly in their chosen mathematical specialties. Some of these fellowships are specifically designed to foster interdisciplinary research activities. At the same time, the faculty members give graduate students supervised teaching experiences that prepare them for the classroom environment.In undergraduate experiences, special survey courses provide new insights into the role of mathematics in the many disciplines represented at the UIUC campus. Research experiences for undergraduates give the undergraduate students a clear picture of the nature of mathematical research and of its role in interdisciplinary studies. Special teacher training experiences with faculty mentors help undergraduate students to develop their classroom instructional skills.The postdoctoral positions supported by VIGRE will enable UIUC to integrate recent Ph.D.s into the research and instructional activities of the Department of Mathematics. The Department provides the VIGRE postdoctoral associates teaching opportunities at both the graduate and the undergraduate level. Faculty members also mentor the VIGRE postdoctoral associates in their own research areas. Over all of the three professional levels, there is a mentoring structure that involves the regular faculty with graduate students, undergraduate students, and postdoctoral students. There are two types of mentoring peer groups formed, Across Level Peers groups (ALPs) and Research Among Peers groups (RAPs). The ALPs consist of undergraduate students, graduate students, postdoctoral students and faculty members; ALPs run independently and develop their own group seminar and discussion agendas. The RAPs include advanced graduate students, postdoctoral associates and faculty members with specific mathematical interests in common; RAPs also run autonomously and plan their own seminar and research activities. Funding for this activity was provided by the Division of Mathematical Sciences and the MPS Office for Multidisciplinary Activity.