Work Station For Undergraduate Laboratory In Applied Mathematics

实验室实验已被纳入大学数学课程。特别是，有两门课程受到影响——应用计算数学、傅立叶级数和偏微分方程——其他关于数学建模、动力系统和控制的本科课程也在进行调整。例如，1)学生能够将他们自己收集的实验数据编程并实现使用离散傅里叶变换对其进行分析的例程；2)用分离变量法求解PDE的学生可以看到解随时间的变化，更好地理解方程所描述的物理现象；3)学生能够将欧拉-伯努利梁、振动鼓头等问题的分离变量解与实验数据进行比较。

Laboratory experiments are being integrated into the undergraduate math curriculum. In particular, two courses are being affected - Applied Computational Mathematics and Fourier Series and PDEs - and changes are being made in other undergraduate courses on mathematical modeling, dynamical systems, and control. For example, 1) students are able to take experimental data which they have collected themselves and program and implement the routines to analyze it using discrete Fourier transforms; 2) students who have solved a PDE by separation of variables can see their solutions evolve in time and understand better the physical phenomena the equations describe; 3) students are able to compare separation of variables solutions of such problems as the Euler-Bernoulli beam and the vibrating drum head to experimental data.