Applied Mathematics and Linear Algebra in an Electronic Classroom Environment

9451557罗森杜兰大学数学系正在将计算机应用融入其核心的应用数学和线性代数课程。这些课程是理工科课程的基础。应用数学课程是所有工科和大多数理科学生的必修课，线性代数课程是数学专业的必修课，许多工科和理科学生都选修了线性代数课程。在这两门课程中，软件的作用是增强对基本概念的理解。学生们将能够在随后的科学和工程课程以及工作场所使用该软件。应用数学课程使用相平面分析来帮助学生理解由各种模型产生的非线性系统的定性行为。它还使用数学软件对微分方程式进行符号和数值分析。线性代数课程使用数学和MatLab来实现关键算法的掌握，如LU、QR和奇异值分解，以及提供激励例子的数值和符号探索。两个班级都将在每次班会中基本使用计算作为一个不可或缺的工具，让学生更积极地参与到课程中来。小组活动将在这两节课中发挥关键作用。将通过出版物以及在会议上的发言进行传播。

9451557 Lawson The Mathematics Department at Tulane University is integrating computer use into its core applied mathematics and linear algebra courses. These courses are fundamental to the science and engineering curriculum. The applied math course is required for all engineering and most science students, and the linear algebra course is required for math majors and taken by many engineering and science students. In both courses the role of the software is to enhance understanding of the basic concepts. Students will be able to use the software in subsequent science and engineering courses and in the workplace. The applied math course uses phase plane analysis to help students understand the qualitative behavior of nonlinear systems arising from a variety of models. It also uses Mathematica to allow symbolic and numerical analysis of differential equations. The linear algebra course uses Mathematica and Matlab to achieve mastery of crucial algorithms such as LU, QR, and singular value dicompositions as well as provide numerical and symbolic exploration of motivating examples. Both classes will make fundamental use of computing as an integral tool in each class meeting, involving the students more actively in the course. Group activities will play a key role in both classes. Dissemination will occur through publications as well as presentations at conferences.