Mathematical Sciences: A Co-operative Program in Undergraduate Research at Hope and Calvin Colleges

本科生研究经验奖提供 支持一个由希望和 卡尔文学院。这些机构的七名教师将 监督数学和统计学不同领域的研究 包括分析、拓扑、动力系统、几何和 组合学 为了提供一个共同的活动，学生和 教师将举办一个关于多项式不变量和链接的研讨会 在第一年的课程中。 个别研究项目的例子包括 有限格在递归可列空间中的嵌入 度，与5x5和6x6相关的行列式环 空间上的乘法算子和 连续函数与动力系统的伪轨跟踪 系统. 每个项目都适合计算 实验和严格的数学分析。 在该计划的最后几周，学生将提出 他们的结果。 将鼓励他们继续学业 在学年期间，开发可编辑的手稿，并 寻找机会讨论他们在区域数学方面的工作 会议.

This Research Experiences for Undergraduates award provides support for an eight student project run jointly by Hope and Calvin Colleges. Seven faculty at these institutions will supervise research in diverse areas of mathematics and statistics including analysis, topology, dynamical systems, geometry and combinatorics. To provide a common activity, students and faculty will conduct a seminar on polynomial invariants and links during the term of the first year's program. Examples of individual research projects include the embedding of finite lattices in the recursively enumerable degrees, determinantal rings associated with 5x5 and 6x6 symmetric matrices, sums of multiplicative operators on spaces of continuous functions and pseudo-orbit shadowing of dynamical systems. Each project lends itself to computational experimentation and rigorous mathematical analysis. During the final weeks of the program, students will present their results. They will be encouraged to continue their studies during the academic year, develop publishable manuscripts and to seek opportunities to discuss their work at regional mathematics meetings.