Wavelets and Applications: A Multi-Disciplinary Undergraduate Course With an Emphasis on Scientific Computing

数学科学（21）。该项目正在开发一门多学科本科课程“小波及其应用”，面向已完成微积分I、II和线性代数的学生。以文本、计算机实验室和期末项目的形式创建辅助材料。本课程旨在使用小波在数据和信号压缩中的许多应用作为激励性示例。因此，它开始介绍离散小波变换使用滤波器设计方法，建立在线性代数的知识。不同离散小波变换的实现允许使用基本的科学计算方法。这有助于为本课程后半部分的经典理论元素的研究和更一般的小波变换的构造奠定基础。

Mathematical Sciences (21). This project is developing a multidisciplinary undergraduate course, "Wavelets and Applications," accessible to students who have completed Calculus I, II and linear algebra. Supporting materials in the form of a text, computer labs, and final projects are being created. The course is designed to use the many applications of wavelets to data and signal compression as motivational examples. Thus it begins with an introduction to discrete wavelet transforms using a filter design approach that builds on knowledge of linear algebra. Implementations of different discrete wavelet transforms permit the use of basic scientific computing methodology. This helps lay the groundwork for the study of elements of classical theory and construction of more general wavelet transformations in the latter part of the course.